Violation of the first law of black hole thermodynamics in $f(T)$ gravity

Details Violation of the first law of black hole thermodynamics in $f(T)$ gravity Violation of the first law of black hole thermodynamics in $f(T)$ gravity

2011-07-04

arxiv.org/abs/1107.0515v3

JCAP11(2011)033

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, no figure, version accepted for publication in JCAP

Scientific paper

We prove that, in general, the first law of black hole thermodynamics, $\delta Q=T\delta S$, is violated in $f(T)$ gravity. As a result, it is possible that there exists entropy production, which implies that the black hole thermodynamics can be in 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 $\frac{f'(T)}{4}A$.

Affiliated with

Also associated with

No associations

Rating

Violation of the first law of black hole thermodynamics in $f(T)$ gravity does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Violation of the first law of black hole thermodynamics in $f(T)$ gravity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Violation of the first law of black hole thermodynamics in $f(T)$ gravity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-3275