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Title: The fuzzball nature of two-charge black hole microstates

Abstract

It has been suggested by A. Sen that the entropy of two-charge supersymmetric bound states in string theory should be accounted for by adding the entropy of source-free horizonless supergravity solutions to the entropy associated with the horizons of small black holes. This would imply that the entropy arises differently depending on the duality frame: in the D1-D5 frame one would count source-free horizonless solutions, while in the NS1-P frame one would compute the area of a horizon. This might lead to the belief that the microstates are described by fuzzball solutions in the D1-D5 duality frame but by a black hole with a horizon in the latter. We argue that this is not the case, and that the microstates are fuzzballs in all duality frames. We observe that the scaling argument used by Sen fails to account for the entropy in the D1-P and other duality frames. We also note that the traditional extremal black hole solution is not a complete string background, since finite-action paths connect the exterior near-horizon extremal throat to the region inside the horizon, including the singularity. The singularity of the traditional black hole solution does not give a valid boundary condition for a fundamentalmore » string; correcting this condition by resolving the singularity modifies the black hole to a fuzzball with no horizon. We argue that for questions of counting states, the traditional black hole solution should be understood through its Euclidean continuation as a saddle point, and that the Lorentzian states being counted are fuzzballs in all duality frames.« less

Authors:
;
Publication Date:
Research Org.:
The Ohio State Univ., Columbus, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); Royal Society Tata University Research Fellowship
OSTI Identifier:
1564428
Alternate Identifier(s):
OSTI ID: 1602451
Grant/Contract Number:  
SC0011726
Resource Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 945 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Mathur, Samir D., and Turton, David. The fuzzball nature of two-charge black hole microstates. Netherlands: N. p., 2019. Web. doi:10.1016/j.nuclphysb.2019.114684.
Mathur, Samir D., & Turton, David. The fuzzball nature of two-charge black hole microstates. Netherlands. https://doi.org/10.1016/j.nuclphysb.2019.114684
Mathur, Samir D., and Turton, David. Tue . "The fuzzball nature of two-charge black hole microstates". Netherlands. https://doi.org/10.1016/j.nuclphysb.2019.114684.
@article{osti_1564428,
title = {The fuzzball nature of two-charge black hole microstates},
author = {Mathur, Samir D. and Turton, David},
abstractNote = {It has been suggested by A. Sen that the entropy of two-charge supersymmetric bound states in string theory should be accounted for by adding the entropy of source-free horizonless supergravity solutions to the entropy associated with the horizons of small black holes. This would imply that the entropy arises differently depending on the duality frame: in the D1-D5 frame one would count source-free horizonless solutions, while in the NS1-P frame one would compute the area of a horizon. This might lead to the belief that the microstates are described by fuzzball solutions in the D1-D5 duality frame but by a black hole with a horizon in the latter. We argue that this is not the case, and that the microstates are fuzzballs in all duality frames. We observe that the scaling argument used by Sen fails to account for the entropy in the D1-P and other duality frames. We also note that the traditional extremal black hole solution is not a complete string background, since finite-action paths connect the exterior near-horizon extremal throat to the region inside the horizon, including the singularity. The singularity of the traditional black hole solution does not give a valid boundary condition for a fundamental string; correcting this condition by resolving the singularity modifies the black hole to a fuzzball with no horizon. We argue that for questions of counting states, the traditional black hole solution should be understood through its Euclidean continuation as a saddle point, and that the Lorentzian states being counted are fuzzballs in all duality frames.},
doi = {10.1016/j.nuclphysb.2019.114684},
journal = {Nuclear Physics. B},
number = C,
volume = 945,
place = {Netherlands},
year = {Tue Jul 02 00:00:00 EDT 2019},
month = {Tue Jul 02 00:00:00 EDT 2019}
}

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Cited by: 11 works
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Works referenced in this record:

Extremal Black Holes and Elementary String States
journal, September 1995


Exact Counting of Supersymmetric Black Hole Microstates
journal, June 2005


Smooth Horizonless Geometries Deep Inside the Black-Hole Regime
journal, November 2016


Nonsupersymmetric smooth geometries and D1-D5-P bound states
journal, June 2005


Global structure of five-dimensional fuzzballs
journal, December 2013


Black holes and five-brane thermodynamics
journal, August 1999


Black holes and beyond
journal, November 2012


Nonviolent nonlocality
journal, September 2013


Momentum-carrying waves on D1–D5 microstate geometries
journal, September 2012


A generalised Garfinkle–Vachaspati transform
journal, November 2018

  • Mishra, Deepali; Srivastava, Yogesh K.; Virmani, Amitabh
  • General Relativity and Gravitation, Vol. 50, Issue 12
  • DOI: 10.1007/s10714-018-2477-y

Cool horizons for entangled black holes
journal, August 2013


Stationary Black Holes: Uniqueness and Beyond
journal, May 2012

  • Chruściel, Piotr T.; Costa, João Lopes; Heusler, Markus
  • Living Reviews in Relativity, Vol. 15, Issue 1
  • DOI: 10.12942/lrr-2012-7

The flaw in the firewall argument
journal, July 2014


Inside the horizon with AdS/CFT
journal, June 2003


Breakdown of predictability in gravitational collapse
journal, November 1976


Action integrals and partition functions in quantum gravity
journal, May 1977


The fuzzball proposal for black holes
journal, October 2008


Radiation from the non-extremal fuzzball
journal, June 2008


Fuzzball Solutions for Black Holes and D1-Brane–D5-Brane Microstates
journal, February 2007


Metric of the multiply wound rotating string
journal, September 2001


Observation of Gravitational Waves from a Binary Black Hole Merger
journal, February 2016


What prevents gravitational collapse in string theory?
journal, October 2016


Remarks on the necessity and implications of state-dependence in the black hole interior
journal, April 2016


The supergravity fields for a D-brane with a travelling wave from string amplitudes
journal, November 2010


The fuzzball proposal for black holes: an elementary review
journal, July 2005


Statistical Interpretation of the Bekenstein Entropy for Systems with a Stretched Horizon
journal, May 2002


Black hole entropy function, attractors and precision counting of microstates
journal, April 2008


Fuzzball geometries and higher derivative corrections for extremal holes
journal, March 2006


The information paradox: a pedagogical introduction
journal, October 2009


AdS/CFT duality and the black hole information paradox
journal, February 2002


Supersymmetric conical defects: Towards a string theoretic description of black hole formation
journal, August 2001


Black hole solutions in heterotic string theory on a torus
journal, May 1995


Adding momentum to supersymmetric geometries
journal, March 2013