Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography

Journal Article · Mon May 15 04:00:00 EDT 2006 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.73.104023· OSTI ID:20774708

Fabbri, A; Farese, S; Navarro-Salas, J; Sanchis-Alepuz, H ^[1]; Olmo, G J ^[2]

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1. Departamento de Fisica Teorica and IFIC, Centro Mixto Universidad de Valencia-CSIC Facultad de Fisica, Universidad de Valencia, Burjassot-46100, Valencia (Spain)
2. Department of Physics, University of Wisconsin-Milwaukee, P.O. Box 413, Milwaukee, Wisconsin, 53201 (United States)

Motivated by the quest for black holes in anti-de 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 (zero-temperature) Boulware vacuum state. In the absence of an exact analytical expression for <T{sub {mu}}{sub {nu}}> in four dimensions we work within the s-wave 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.

• OSTI ID: 20774708
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 10 Vol. 73; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
CORRECTIONS
COSMOLOGY
DE SITTER GROUP
EINSTEIN FIELD EQUATIONS
GEOMETRY
HOLOGRAPHY
MANY-DIMENSIONAL CALCULATIONS
MATHEMATICAL SOLUTIONS
S WAVES
SEMICLASSICAL APPROXIMATION
SINGULARITY
SPACE-TIME
VACUUM STATES