BPS Kerr-AdS time machines

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.

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

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

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@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}

}

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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

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

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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

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

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

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