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Can the "brick wall" model present the same results in different coordinate representations?

Lookup NU author(s): Professor Jiliang Jing

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Abstract

By using the 't Hooft's "brick wall" model and the Pauli-Villars regularization scheme we calculate the statistical-mechanical entropies arising from the quantum scalar field in different coordinate settings, such as the Painlevé and Lemaitre coordinates. At first glance, it seems that the entropies would be different from that in the standard Schwarzschild coordinate since the metrics in both the Painlevé and Lemaitre coordinates do not possess the singularity at the event horizon as that in the Schwarzschild-like coordinate. However, after an exact calculation we find that, up to the subleading correction, the statistical-mechanical entropies in these coordinates are equivalent to that in the Schwarzschild-like coordinate. The result is not only valid for black holes and de Sitter spaces, but also for the case that the quantum field exerts back reaction on the gravitational field provided that the back reaction does not alter the symmetry of the spacetime. © 2004 The American Physical Society.

Publication metadata

Author(s): Jing J

Publication type: Article

Publication status: Published

Journal: Physical Review D

Year: 2004

Volume: 69

Issue: 2

ISSN (print): 0556-2821

ISSN (electronic): 1089-4918

Publisher: American Physical Society

URL: http://dx.doi.org/10.1103/PhysRevD.69.024011

DOI: 10.1103/PhysRevD.69.024011

Notes: Article no. 024011 6 pages

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