Journal
PHYSICS LETTERS B
Volume 750, Issue -, Pages 306-311Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.physletb.2015.08.065
Keywords
Black holes; Quasiblack holes; Extremal horizon; Entropy; Thermodynamics
Funding
- FCT-Portugal [PEst-OE/FIS/UI0099/2014]
- FCT [SFRH/BD/92583/2014]
- Kazan Federal University
- Fundação para a Ciência e a Tecnologia [PEst-OE/FIS/UI0099/2014] Funding Source: FCT
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There is a debate as to what is the value of the entropy S of extremal black holes. There are approaches that yield zero entropy S = 0, while there are others that yield the Bekenstein Hawking entropy S = A(+)/4, in Planck units. There are still other approaches that give that S is proportional to r(+) or even that S is a generic well-behaved function of r+. Here r+ is the black hole horizon radius and A(+) = 4 pi r(+)(2) is its horizon area. Using a spherically symmetric thin matter shell with extremal electric charge, we find the entropy expression for the extremal thin shell spacetime. When the shell's radius approaches its own gravitational radius, and thus turns into an extremal black hole, we encounter that the entropy is S = S(r(+)), i.e., the entropy of an extremal black hole is a function of r(+) alone. We speculate that the range of values for an extremal black hole is 0 <= S(r(+)) <= A(+)/4. (C) 2015 The Authors. Published by Elsevier B.V.
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