BPS Kerr-AdS time machines

Cvetič, M.; Geng, Wei -Jian; Lü, H.; Pope, C. N.

doi:10.1007/jhep07(2018)088

Title: BPS Kerr-AdS time machines

Abstract

It was recently observed that Kerr-AdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed time-like curves can arise, bounded by a velocity of light surface. Such spacetimes are sometimes known as time machines. In this paper we study the BPS limit of these metrics, and find that the mass and angular momenta become discretised. The completeness of the spacetime also requires that the asymptotic time coordinate be periodic, with precisely the same period as that which arises naturally for the global AdS, viewed as a hyperboliod in one extra dimension, in which the time machine spacetime is immersed. For the case of equal angular momenta in odd dimensions, we construct the Killing spinors explicitly, and show they are consistent with the global structure. Thus in examples where the solutions can be embedded in gauged supergravity, they will be supersymmetric. As a result, we also compare the global structure of the BPS AdS3 time machine with the BTZ black hole, and show that the global structure allows two different supersymmetric limits.

Authors:

Cvetič, M. ^[1]; Geng, Wei -Jian ^[2];

^[3]; Pope, C. N. ^[4]

Beijing Normal Univ., Beijing (China). Dept. of Physics; Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
Beijing Normal Univ., Beijing (China). Dept. of Physics
Tianjin Univ., Tianjin (China). Dept. of Physics
Beijing Normal Univ., Beijing (China). Dept. of Physics; Texas A & M Univ., College Station, TX (United States). George P. & Cynthia Woods Mitchell Inst. for Fundamental Physics and Astronomy; Cambridge Univ., Cambridge (United Kingdom). Centre for Mathematical Sciences

Publication Date:: 2018-07-12

Research Org.:: Texas A&M Univ., College Station, TX (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Org.:: USDOE Office of Science (SC)

OSTI Identifier:: 1501477

Grant/Contract Number:: SC0010813; SC0013528; FG02-13ER42020

Resource Type:: Accepted Manuscript

Journal Name:: Journal of High Energy Physics (Online)

Additional Journal Information:: Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2018; Journal Issue: 7; Journal ID: ISSN 1029-8479

Publisher:: Springer Berlin

Country of Publication:: United States

Language:: English

Subject:: 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Classical Theories of Gravity; Supersymmetry and Duality

Citation Formats


                    Cvetič, M., Geng, Wei -Jian, Lü, H., and Pope, C. N. BPS Kerr-AdS time machines.  United States: N. p., 2018. 
Web.  doi:10.1007/jhep07(2018)088.

Copy to clipboard


                    Cvetič, M., Geng, Wei -Jian, Lü, H., & Pope, C. N. BPS Kerr-AdS time machines.  United States.  https://doi.org/10.1007/jhep07(2018)088

Copy to clipboard


                    Cvetič, M., Geng, Wei -Jian, Lü, H., and Pope, C. N. Thu .  
"BPS Kerr-AdS time machines".  United States.  https://doi.org/10.1007/jhep07(2018)088.  https://www.osti.gov/servlets/purl/1501477.

Copy to clipboard


                    
@article{osti_1501477,

  title        = {BPS Kerr-AdS time machines},

  author       = {Cvetič, M. and Geng, Wei -Jian and Lü, H. and Pope, C. N.},

  abstractNote = {It was recently observed that Kerr-AdS metrics with negative mass can describe smooth spacetimes that have a region within which naked closed time-like curves can arise, bounded by a velocity of light surface. Such spacetimes are sometimes known as time machines. In this paper we study the BPS limit of these metrics, and find that the mass and angular momenta become discretised. The completeness of the spacetime also requires that the asymptotic time coordinate be periodic, with precisely the same period as that which arises naturally for the global AdS, viewed as a hyperboliod in one extra dimension, in which the time machine spacetime is immersed. For the case of equal angular momenta in odd dimensions, we construct the Killing spinors explicitly, and show they are consistent with the global structure. Thus in examples where the solutions can be embedded in gauged supergravity, they will be supersymmetric. As a result, we also compare the global structure of the BPS AdS3 time machine with the BTZ black hole, and show that the global structure allows two different supersymmetric limits.},

  doi          = {10.1007/jhep07(2018)088},

  journal      = {Journal of High Energy Physics (Online)},

  number       = 7,

  volume       = 2018,

  place        = {United States},

  year         = {2018},

  month        = {7}

}

Copy to clipboard

Journal Article:

Free Publicly Available Full Text

Accepted Manuscript (DOE)

Publisher's Version of Record

https://doi.org/10.1007/jhep07(2018)088

Other availability

Search WorldCat to find libraries that may hold this journal

Save / Share:

Export Metadata

Save to My Library

Works referenced in this record:

Kaluza-Klein consistency, Killing vectors and Kähler spaces
journal, September 2000

Hoxha, P.; Martinez-Acosta, R. R.; Pope, C. N.
Classical and Quantum Gravity, Vol. 17, Issue 20
DOI: 10.1088/0264-9381/17/20/305

The general Kerr–de Sitter metrics in all dimensions
journal, January 2005

Gibbons, G. W.; Lü, H.; Page, Don N.
Journal of Geometry and Physics, Vol. 53, Issue 1
DOI: 10.1016/j.geomphys.2004.05.001

New Einstein-Sasaki Spaces in Five and Higher Dimensions
journal, August 2005

Cvetič, M.; Lü, H.; Page, Don N.
Physical Review Letters, Vol. 95, Issue 7
DOI: 10.1103/PhysRevLett.95.071101

Black hole in three-dimensional spacetime
journal, September 1992

Bañados, Máximo; Teitelboim, Claudio; Zanelli, Jorge
Physical Review Letters, Vol. 69, Issue 13
DOI: 10.1103/PhysRevLett.69.1849

Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
journal, September 1963

Kerr, Roy P.
Physical Review Letters, Vol. 11, Issue 5
DOI: 10.1103/PhysRevLett.11.237

The first law of thermodynamics for Kerr–anti-de Sitter black holes
journal, May 2005

Gibbons, G. W.; Perry, M. J.; Pope, C. N.
Classical and Quantum Gravity, Vol. 22, Issue 9
DOI: 10.1088/0264-9381/22/9/002

General (Anti-)de Sitter black holes in five dimensions
journal, February 2001

Klemm, Dietmar; Sabra, Wafic A.
Journal of High Energy Physics, Vol. 2001, Issue 02
DOI: 10.1088/1126-6708/2001/02/031

Supersymmetry of the (2+1)-dimensional black holes
journal, January 1994

Coussaert, Olivier; Henneaux, Marc
Physical Review Letters, Vol. 72, Issue 2
DOI: 10.1103/PhysRevLett.72.183

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
journal, July 2000

Gödel, Kurt
General Relativity and Gravitation, Vol. 32, Issue 7
DOI: 10.1023/a:1001959224682

New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter
journal, July 2009

Cvetic, M.; Lü, H.; Page, Don N.
Journal of High Energy Physics, Vol. 2009, Issue 07
DOI: 10.1088/1126-6708/2009/07/082

Rotation and the AdS-CFT correspondence
journal, February 1999

Hawking, S. W.; Hunter, C. J.; Taylor-Robinson, M. M.
Physical Review D, Vol. 59, Issue 6
DOI: 10.1103/PhysRevD.59.064005

D-branes and spinning black holes
journal, January 1997

Breckenridge, J. C.; Myers, R. C.; Peet, A. W.
Physics Letters B, Vol. 391, Issue 1-2
DOI: 10.1016/S0370-2693(96)01460-8

Banados and SUSY: on supersymmetry and minimal surfaces of locally AdS ₃ geometries
journal, April 2017

Ó Colgáin, E.; Yavartanoo, H.
Classical and Quantum Gravity, Vol. 34, Issue 9
DOI: 10.1088/1361-6382/aa66d5

Rotating Black Holes in Higher Dimensions with a Cosmological Constant
journal, October 2004

Gibbons, G. W.; Lü, H.; Page, Don N.
Physical Review Letters, Vol. 93, Issue 17
DOI: 10.1103/PhysRevLett.93.171102

Sasaki-Einstein Metrics on S^2\times S^3
journal, January 2004

Gauntlett, Jerome P.; Martelli, Dario; Sparks, James
Advances in Theoretical and Mathematical Physics, Vol. 8, Issue 4
DOI: 10.4310/ATMP.2004.v8.n4.a3

Spinning deformations of the D1–D5 system and a geometric resolution of closed timelike curves
journal, August 2003

Herdeiro, Carlos A. R.
Nuclear Physics B, Vol. 665
DOI: 10.1016/S0550-3213(03)00484-X

Supersymmetric Kerr–anti-de Sitter solutions
journal, July 2005

Cvetič, Mirjam; Gao, Peng; Simón, Joan
Physical Review D, Vol. 72, Issue 2
DOI: 10.1103/PhysRevD.72.021701

Black holes in higher dimensional space-times
journal, December 1986

Myers, R. C.; Perry, M. J.
Annals of Physics, Vol. 172, Issue 2
DOI: 10.1016/0003-4916(86)90186-7

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
journal, July 1949

Gödel, Kurt
Reviews of Modern Physics, Vol. 21, Issue 3
DOI: 10.1103/RevModPhys.21.447

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
journal, December 1968

Carter, Brandon
Communications in Mathematical Physics, Vol. 10, Issue 4
DOI: 10.1007/BF03399503

Special properties of five-dimensional BPS rotating black holes
journal, August 2000

Herdeiro, C. A. R.
Nuclear Physics B, Vol. 582, Issue 1-3
DOI: 10.1016/S0550-3213(00)00335-7

Supersymmetric rotating black hole spacetime tested by geodesics
journal, April 2014

Diemer, Valeria; Kunz, Jutta
Physical Review D, Vol. 89, Issue 8
DOI: 10.1103/PhysRevD.89.084001

Black holes of D = 5 supergravity
journal, January 1999

Gauntlett, Jerome P.; Myers, Robert C.; Townsend, Paul K.
Classical and Quantum Gravity, Vol. 16, Issue 1
DOI: 10.1088/0264-9381/16/1/001

Supersymmetric rotating black holes and causality violation
journal, October 1999

Gibbons, G. W.; Herdeiro, C. A. R.
Classical and Quantum Gravity, Vol. 16, Issue 11
DOI: 10.1088/0264-9381/16/11/311

Quantum Time Crystals
journal, October 2012

Wilczek, Frank
Physical Review Letters, Vol. 109, Issue 16
DOI: 10.1103/PhysRevLett.109.160401

Charged rotating black holes in 5d Einstein–Maxwell–(A)dS gravity
journal, March 2001

Klemm, D.; Sabra, W. A.
Physics Letters B, Vol. 503, Issue 1-2
DOI: 10.1016/S0370-2693(01)00181-2

Time machines and AdS solitons with negative mass
journal, April 2017

Feng, Xing-Hui; Geng, Wei-Jian; Lü, H.
Physical Review D, Vol. 95, Issue 8
DOI: 10.1103/PhysRevD.95.084013

Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
text, January 2000

Hoxha, P.; Martinez-Acosta, R. R.; Pope, C. N.
arXiv
DOI: 10.48550/arxiv.hep-th/0005172

General (Anti-)de Sitter Black Holes in Five Dimensions
text, January 2000

Klemm, D.; Sabra, W. A.
arXiv
DOI: 10.48550/arxiv.hep-th/0011016

The General Kerr-de Sitter Metrics in All Dimensions
text, January 2004

Gibbons, G. W.; Lu, H.; Page, D. N.
arXiv
DOI: 10.48550/arxiv.hep-th/0404008

Rotating Black Holes in Higher Dimensions with a Cosmological Constant
text, January 2004

Gibbons, G. W.; Lu, H.; Page, D. N.
arXiv
DOI: 10.48550/arxiv.hep-th/0409155

New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
text, January 2005

Cvetic, M.; Lu, H.; Page, Don N.
arXiv
DOI: 10.48550/arxiv.hep-th/0505223

Supersymmetric Rotating Black Holes and Causality Violation
text, January 1999

Gibbons, G. W.; Herdeiro, C. A. R.
arXiv
DOI: 10.48550/arxiv.hep-th/9906098

Similar Records in DOE PAGES and OSTI.GOV collections:

Supersymmetric Kerr-anti-de Sitter solutions

Journal Article Cvetic, Mirjam ; Peng, Gao ; Simon, Joan - Physical Review. D, Particles Fields

We prove the existence of one quarter supersymmetric type IIB configurations that arise as nontrivial scaling solutions of the standard five-dimensional Kerr-anti-de Sitter black holes by the explicit construction of its Killing spinors. This neutral, spinning solution is asymptotic to the static anti-de Sitter space-time with cosmological constant -(1/l{sup 2}), it has two finite equal angular momenta J{sub 1}={+-}J{sub 2}, mass M=(1/l)(|J{sub 1}|+|J{sub 2}|) and a naked singularity. We also address the scaling limit associated with one-half supersymmetric solution with only one angular momentum.
https://doi.org/10.1103/PhysRevD.72.021701
AdS spacetime in warped spacetimes

Journal Article Cvetic, M ; Lu'', H ; Pope, C N ; ... - Physical Review D

We obtain a large class of AdS spacetimes warped with certain internal spaces in 11-dimensional and type IIA or IIB supergravities. The warp factors depend only on the internal coordinates. These solutions arise as the near-horizon geometries of more general semilocalized multi-intersections of p-branes. We achieve this by noting that any sphere (or AdS spacetime) of dimension greater than 3 can be viewed as a foliation involving S{sup 3} (or AdS{sub 3}). Then the S{sup 3} (or AdS{sub 3}) can be replaced by a three-dimensional lens space (or a BTZ black hole), which arises naturally from the introduction of amore »« less
https://doi.org/10.1103/PhysRevD.62.122003
Global geometry of the supersymmetric AdS{sub 3}/CFT{sub 2} correspondence in M-theory

Journal Article Figueras, Pau ; Mac Conamhna, Oisin A. P. ; O Colgain, Eoin - Physical Review. D, Particles Fields

We study the global geometry of a general class of spacetimes of relevance to the supersymmetric three-dimensional anti-de Sitter space/two-dimensional conformal field theory (AdS{sub 3}/CFT{sub 2}) correspondence in 11-dimensional supergravity. Specifically, we study spacetimes admitting a globally defined R{sup 1,1} frame, a globally defined frame bundle with structure group contained in Spin(7), and an AdS{sub 3} event horizon or conformal boundary. We show how the global frame bundle may be canonically realized by globally defined null sections of the spin bundle, which we use to truncate 11-dimensional supergravity to a gravitational theory of a frame with structure group Spin(7), SU(4),more »« less
https://doi.org/10.1103/PHYSREVD.76.046007
Gaussian null coordinates for rotating charged black holes and conserved charges

Journal Article Cvetič, M. ; Pope, C. N. ; Saha, A. ; ... - Physical Review D

Motivated by the study of conserved Aretakis charges for a scalar field on the horizon of an extremal black hole, we construct the metrics for certain classes of four-dimensional and five-dimensional extremal rotating black holes in Gaussian null coordinates. We obtain these as expansions in powers of the radial coordinate, up to sufficient order to be able to compute the Aretakis charges. The metrics we consider are for 4-charge black holes in four-dimensional STU supergravity (N = 2 supergravity coupled to three vector multiplets) (including the Kerr-Newman black hole in the equal-charge case) and the general 3-charge black holes inmore »« less
https://doi.org/10.1103/PhysRevD.101.066025
Rotating spacetimes with asymptotic nonflat structure and the gyromagnetic ratio

Journal Article Aliev, Alikram N - Physical Review. D, Particles Fields

In general relativity, the gyromagnetic ratio for all stationary, axisymmetric, and asymptotically flat Einstein-Maxwell fields is known to be g=2. In this paper, we continue our previous works of examination of this result for rotating charged spacetimes with asymptotic nonflat structure. We first consider two instructive examples of these spacetimes: The spacetime of a Kerr-Newman black hole with a straight cosmic string on its axis of symmetry and the Kerr-Newman Taub-NUT (Newman-Unti-Tamburino) spacetime. We show that for both spacetimes the gyromagnetic ratio g=2 independent of their asymptotic structure. We also extend this result to a general class of metrics whichmore »« less
https://doi.org/10.1103/PHYSREVD.77.044038

Similar Records

Title: BPS Kerr-AdS time machines

Abstract

Citation Formats

Kaluza-Klein consistency, Killing vectors and Kähler spaces journal, September 2000

The general Kerr–de Sitter metrics in all dimensions journal, January 2005

New Einstein-Sasaki Spaces in Five and Higher Dimensions journal, August 2005

Black hole in three-dimensional spacetime journal, September 1992

Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics journal, September 1963

The first law of thermodynamics for Kerr–anti-de Sitter black holes journal, May 2005

General (Anti-)de Sitter black holes in five dimensions journal, February 2001

Supersymmetry of the (2+1)-dimensional black holes journal, January 1994

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation journal, July 2000

New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter journal, July 2009

Rotation and the AdS-CFT correspondence journal, February 1999

D-branes and spinning black holes journal, January 1997

Banados and SUSY: on supersymmetry and minimal surfaces of locally AdS 3 geometries journal, April 2017

Rotating Black Holes in Higher Dimensions with a Cosmological Constant journal, October 2004

Sasaki-Einstein Metrics on S^2\times S^3 journal, January 2004

Spinning deformations of the D1–D5 system and a geometric resolution of closed timelike curves journal, August 2003

Supersymmetric Kerr–anti-de Sitter solutions journal, July 2005

Black holes in higher dimensional space-times journal, December 1986

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation journal, July 1949

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations journal, December 1968

Special properties of five-dimensional BPS rotating black holes journal, August 2000

Supersymmetric rotating black hole spacetime tested by geodesics journal, April 2014

Black holes of D = 5 supergravity journal, January 1999

Supersymmetric rotating black holes and causality violation journal, October 1999

Quantum Time Crystals journal, October 2012

Charged rotating black holes in 5d Einstein–Maxwell–(A)dS gravity journal, March 2001

Time machines and AdS solitons with negative mass journal, April 2017

Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces text, January 2000

General (Anti-)de Sitter Black Holes in Five Dimensions text, January 2000

The General Kerr-de Sitter Metrics in All Dimensions text, January 2004

Rotating Black Holes in Higher Dimensions with a Cosmological Constant text, January 2004

New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter text, January 2005

Supersymmetric Rotating Black Holes and Causality Violation text, January 1999

Kaluza-Klein consistency, Killing vectors and Kähler spaces
journal, September 2000

The general Kerr–de Sitter metrics in all dimensions
journal, January 2005

New Einstein-Sasaki Spaces in Five and Higher Dimensions
journal, August 2005

Black hole in three-dimensional spacetime
journal, September 1992

Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
journal, September 1963

The first law of thermodynamics for Kerr–anti-de Sitter black holes
journal, May 2005

General (Anti-)de Sitter black holes in five dimensions
journal, February 2001

Supersymmetry of the (2+1)-dimensional black holes
journal, January 1994

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
journal, July 2000

New Einstein-Sasaki and Einstein spaces from Kerr-de Sitter
journal, July 2009

Rotation and the AdS-CFT correspondence
journal, February 1999

D-branes and spinning black holes
journal, January 1997

Banados and SUSY: on supersymmetry and minimal surfaces of locally AdS ₃ geometries
journal, April 2017

Rotating Black Holes in Higher Dimensions with a Cosmological Constant
journal, October 2004

Sasaki-Einstein Metrics on S^2\times S^3
journal, January 2004

Spinning deformations of the D1–D5 system and a geometric resolution of closed timelike curves
journal, August 2003

Supersymmetric Kerr–anti-de Sitter solutions
journal, July 2005

Black holes in higher dimensional space-times
journal, December 1986

An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
journal, July 1949

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations
journal, December 1968

Special properties of five-dimensional BPS rotating black holes
journal, August 2000

Supersymmetric rotating black hole spacetime tested by geodesics
journal, April 2014

Black holes of D = 5 supergravity
journal, January 1999

Supersymmetric rotating black holes and causality violation
journal, October 1999

Quantum Time Crystals
journal, October 2012

Charged rotating black holes in 5d Einstein–Maxwell–(A)dS gravity
journal, March 2001

Time machines and AdS solitons with negative mass
journal, April 2017

Kaluza-Klein Consistency, Killing Vectors, and Kahler Spaces
text, January 2000

General (Anti-)de Sitter Black Holes in Five Dimensions
text, January 2000

The General Kerr-de Sitter Metrics in All Dimensions
text, January 2004

Rotating Black Holes in Higher Dimensions with a Cosmological Constant
text, January 2004

New Einstein-Sasaki and Einstein Spaces from Kerr-de Sitter
text, January 2005

Supersymmetric Rotating Black Holes and Causality Violation
text, January 1999