Semiclassical zerotemperature corrections to Schwarzschild spacetime and holography
Abstract
Motivated by the quest for black holes in antide Sitter braneworlds, and, in particular, by the holographic conjecture relating 5D classical bulk solutions with 4D quantum corrected ones, we numerically solve the semiclassical Einstein equations (backreaction equations) with matter fields in the (zerotemperature) Boulware vacuum state. In the absence of an exact analytical expression for <T{sub {mu}}{sub {nu}}> in four dimensions we work within the swave approximation. Our results show that the quantum corrected solution is very similar to Schwarzschild spacetime until very close to the horizon, but then a bouncing surface for the radial function appears which prevents the formation of an event horizon. We also analyze the behavior of the geometry beyond the bounce, where a curvature singularity arises. In the dual theory, this indicates that the corresponding 5D static classical braneworld solution is not a black hole but rather a naked singularity.
 Authors:

 Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de ValenciaCSIC Facultad de Fisica, Universidad de Valencia, Burjassot46100, Valencia (Spain)
 Department of Physics, University of WisconsinMilwaukee, P.O. Box 413, Milwaukee, Wisconsin, 53201 (United States)
 Publication Date:
 OSTI Identifier:
 20774708
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. D, Particles Fields
 Additional Journal Information:
 Journal Volume: 73; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.73.104023; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 05562821
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BLACK HOLES; CORRECTIONS; COSMOLOGY; DE SITTER GROUP; EINSTEIN FIELD EQUATIONS; GEOMETRY; HOLOGRAPHY; MANYDIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; S WAVES; SEMICLASSICAL APPROXIMATION; SINGULARITY; SPACETIME; VACUUM STATES
Citation Formats
Fabbri, A, Farese, S, NavarroSalas, J, SanchisAlepuz, H, and Olmo, G J. Semiclassical zerotemperature corrections to Schwarzschild spacetime and holography. United States: N. p., 2006.
Web. doi:10.1103/PhysRevD.73.104023.
Fabbri, A, Farese, S, NavarroSalas, J, SanchisAlepuz, H, & Olmo, G J. Semiclassical zerotemperature corrections to Schwarzschild spacetime and holography. United States. https://doi.org/10.1103/PhysRevD.73.104023
Fabbri, A, Farese, S, NavarroSalas, J, SanchisAlepuz, H, and Olmo, G J. 2006.
"Semiclassical zerotemperature corrections to Schwarzschild spacetime and holography". United States. https://doi.org/10.1103/PhysRevD.73.104023.
@article{osti_20774708,
title = {Semiclassical zerotemperature corrections to Schwarzschild spacetime and holography},
author = {Fabbri, A and Farese, S and NavarroSalas, J and SanchisAlepuz, H and Olmo, G J},
abstractNote = {Motivated by the quest for black holes in antide Sitter braneworlds, and, in particular, by the holographic conjecture relating 5D classical bulk solutions with 4D quantum corrected ones, we numerically solve the semiclassical Einstein equations (backreaction equations) with matter fields in the (zerotemperature) Boulware vacuum state. In the absence of an exact analytical expression for <T{sub {mu}}{sub {nu}}> in four dimensions we work within the swave approximation. Our results show that the quantum corrected solution is very similar to Schwarzschild spacetime until very close to the horizon, but then a bouncing surface for the radial function appears which prevents the formation of an event horizon. We also analyze the behavior of the geometry beyond the bounce, where a curvature singularity arises. In the dual theory, this indicates that the corresponding 5D static classical braneworld solution is not a black hole but rather a naked singularity.},
doi = {10.1103/PhysRevD.73.104023},
url = {https://www.osti.gov/biblio/20774708},
journal = {Physical Review. D, Particles Fields},
issn = {05562821},
number = 10,
volume = 73,
place = {United States},
year = {2006},
month = {5}
}