4D quantum black hole physics from 2D models?

Details 4D quantum black hole physics from 2D models? 4D quantum black hole physics from 2D models?

1999-04-14

arxiv.org/abs/gr-qc/9904034v2

Phys.Lett. B459 (1999) 112-118

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

latex, 13 pages; misprints corrected, references added

Scientific paper

10.1016/S0370-2693(99)00687-5

Minimally coupled 4D scalar fields in Schwarzschild space-time are considered. Dimensional reduction to 2D leads to a well known anomaly induced effective action, which we consider here in a local form with the introduction of auxiliary fields. Boundary conditions are imposed on them in order to select the appropriate quantum states (Boulware, Unruh annd Israel-Hartle-Hawking). The stress tensor is then calculated and its comparison with the expected 4D form turns out to be unsuccessful. We also critically discuss in some detail a recent controversial result appeared in the literature on the same topic.

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