Selected Honorable Mention EssaysNo Access

QUANTUM STATES OF THE SPACETIME, AND FORMATION OF BLACK HOLES IN AdS

MARCELO BOTTA CANTCHEFF

IFLP-CONICET CC 67, 1900, La Plata, Buenos Aires, Argentina

CERN, Theory Division, 1211 Geneva 23, Switzerland

https://doi.org/10.1142/S0218271812420096Cited by:6 (Source: Crossref)

Abstract

We argue that a nonperturbative description of quantum gravity should involve two (noninteracting) copies of a dual field theory on the boundary, and describe the states of the spacetimes accordingly. So, for instance, a complete description of the asymptotically Anti-de-Sitter (AdS) spacetimes is given by two copies of the conformal field theory (CFT) associated to the global AdS spacetime. We also argue that, in this context, gravitational collapse and formation of a black hole may be described by unitary evolution of the dual nonperturbative degrees of freedom.

This essay received an honorable mention in the 2012 Essay Competition of the Gravity Research Foundation.

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References

J. M. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998), arXiv:hep-th/9711200. ADS, Google Scholar
H. Lin, O. Lunin and J. M. Maldacena, J. High Energy Phys. 0410, 025 (2004), arXiv:hep-th/0409174. ADS, Google Scholar
S. W. Hawking, Phys. Rev. D 14, 2460 (1976), DOI: 10.1103/PhysRevD.14.2460. Web of Science, ADS, Google Scholar
D. N. Page, Black hole information , arXiv:hep-th/9305040 . Google Scholar
S. B. Giddings, Quantum mechanics of black holes , arXiv:hep-th/9412138 . Google Scholar
S. D. Mathur, Class. Quantum Grav. 26, 224001 (2009), DOI: 10.1088/0264-9381/26/22/224001. Web of Science, ADS, Google Scholar
V. Balasubramanian and B. Czech, Class. Quantum Grav. 28, 163001 (2011), arXiv:1102.3566 DOI: 10.1088/0264-9381/28/16/163001. Web of Science, ADS, Google Scholar
J. M. Maldacena, J. High Energy Phys. 0304, 021 (2003), arXiv:hep-th/0106112. ADS, Google Scholar
Y. Takahashi and H. Umezawa, Coll. Phenomena 2 (1975) 55 (reprinted in Int. J. Mod. Phys. 10 (1996) 1755) . Google Scholar
H. Umezawa , H. Matsumoto and M. Tachiki , Thermofield Dynamics and Condensed States ( North-Holland , Amsterdan , 1982 ) . Google Scholar
H. Umezawa , Advanced Field Theory: Micro, Macro and Thermal Physics ( AIP , New York , 1993 ) . Google Scholar
M. Van Raamsdonk, Gen. Relativ. Gravit. 42, 2323 (2010), arXiv:1005.3035 DOI: 10.1007/s10714-010-1034-0. Web of Science, ADS, Google Scholar
G. J. Gallowayet al., Phys. Lett. B 505, 255 (2001), arXiv:hep-th/9912119. Web of Science, ADS, Google Scholar
M. B. Cantcheff, Emergent spacetime, and a model for unitary gravitational collapse in AdS, CERN-PH-TH/2011-235, hep-th , arXiv:1110.0867 . Google Scholar
A. E. Santanaet al., Physica A 280, 405 (2000), DOI: 10.1016/S0378-4371(99)00606-8. Web of Science, ADS, Google Scholar
W. Israel, Phys. Lett. A 57, 107 (1976), DOI: 10.1016/0375-9601(76)90178-X. Web of Science, ADS, Google Scholar
S. W. Hawking and D. N. Page, Commun. Math. Phys. 87, 577 (1982), DOI: 10.1007/BF01208266. Web of Science, ADS, Google Scholar
E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998), arXiv:hep-th/9803131. Web of Science, Google Scholar
M. Gary and S. B. Giddings, Constraints on a fine-grained AdS/CFT correspondence, hep-th , arXiv:1106.3553 . Google Scholar
E. P. Verlinde, On the origin of gravity and the laws of Newton, hep-th , arXiv:1001.0785 . Google Scholar
S. B. Giddings, The gravitational S-matrix: Erice lectures, hep-th , arXiv:1105.2036 . Google Scholar
S. Ryu and T. Takayanagi, Phys. Rev. Lett. 96, 181602 (2006), arXiv:hep-th/0603001 DOI: 10.1103/PhysRevLett.96.181602. Web of Science, Google Scholar
S. Ryu and T. Takayanagi, J. High Energy Phys. 0608, 045 (2006), arXiv:hep-th/0605073. ADS, Google Scholar
V. E. Hubeny, M. Rangamani and T. Takayanagi, J. High Energy Phys. 0707, 062 (2007), arXiv:0705.0016. ADS, Google Scholar