The Volume of 2D Black Holes

Details The Volume of 2D Black Holes The Volume of 2D Black Holes

2005-09-20

arxiv.org/abs/gr-qc/0509077v1

J.Phys.Conf.Ser. 33 (2006) 361-366

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 3 figures, uses iopart_mod.cls

Scientific paper

It is shown that the definition for the volume of stationary black holes advocated in hep-th/0508108 readily generalizes to the case of dilaton gravity in D=2. The dilaton field is included as part of the measure. A feature observed in D=3 and 4 has been the impossibility to obtain infinite volume while retaining finite area without encountering some kind of pathology. It is demonstrated that this also holds in D=2. Consistency with spherically reduced gravity is shown. For the Witten black hole it is found that the area is proportional to the volume.

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