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Entropy of BTZ black strings in the brick-wall approach

H K Jassal and L Sriramkumar

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During the last few years, exact solutions describing black holes bound to a 2-brane in a four-dimensional anti-de Sitter bulk have been constructed. In situations where there is a negative cosmological constant on the brane for large masses, these solutions are exactly the rotating Banados–Teitleboim–Zanelli (BTZ) black holes on the brane and, in fact, describe rotating BTZ black strings in the bulk. We evaluate the canonical entropy of a free and massless scalar field (at the Hawking temperature) around the rotating BTZ black string using the brick-wall model. We explicitly show that the Bekenstein–Hawking 'area' law is satisfied both on the brane and in the bulk.


PACS

04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics

98.80.Es Observational cosmology (including Hubble constant, distance scale, cosmological constant, early Universe, etc)

11.25.-w Strings and branes

98.80.Cq Particle-theory and field-theory models of the early Universe (including cosmic pancakes, cosmic strings, chaotic phenomena, inflationary universe, etc.)

MSC

83C57 Black holes

83F05 Cosmology

85A40 Cosmology (For relativistic cosmology, see 83F05)

83C15 Exact solutions

83E30 String and superstring theories (See also 81T30)

Subjects

Gravitation and cosmology

Particle physics and field theory

Astrophysics and astroparticles

Dates

Issue 10 (21 May 2007)

Received 4 December 2006, in final form 27 March 2007

Published 30 April 2007



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