6533b851fe1ef96bd12a8ebe
RESEARCH PRODUCT
Semiclassical zero-temperature corrections to Schwarzschild spacetime and holography
José Navarro-salasS. FareseAlessandro FabbriHelios Sanchis-alepuzGonzalo J. Olmosubject
High Energy Physics - TheoryPhysicsNuclear and High Energy PhysicsCosmologiaQuantum field theory in curved spacetimeEvent horizonWhite holeKerr metricFOS: Physical sciencesNaked singularityGeneral Relativity and Quantum Cosmology (gr-qc)Partícules (Física nuclear)General Relativity and Quantum CosmologyBlack holeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Quantum mechanicsDeriving the Schwarzschild solutionSchwarzschild radiusdescription
Motivated by the quest for black holes in AdS 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 in four dimensions we work within the s-wave approximation. Our results show that the quantum corrected solution is very similar to Schwarzschild till 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.
year | journal | country | edition | language |
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2005-12-14 | Physical Review D |