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Violation of the first law of black hole thermodynamics in $f(T)$ gravity | | Rong-Xin Miao
; Miao Li
; Yan-Gang Miao
; | | Date: |
4 Jul 2011 | | Abstract: | We prove that the first law of black hole thermodynamics, $delta Q=Tdelta
S$, is violated in $f(T)$ gravity. As a result, there always exists entropy
production, which implies that the black hole thermodynamics is non-equilibrium
even in the static spacetime. This feature is very different from that of
$f(R)$ or that of other higher derivative gravity theories. We find that the
violation of first law results from the lack of local Lorentz invariance in
$f(T)$ gravity. By investigating two examples, we note that $f"(0)$ should be
negative in order to avoid the naked singularities and superluminal motion of
light. When $f"(T)$ is small, the entropy of black holes in $f(T)$ gravity is
approximatively equal to $frac{f’(T)}{4}A$ | | Source: | arXiv, 1107.0515 | | Services: | Forum | Review | PDF | Favorites | |
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