Entropy 2012, 14(11), 2291-2301; doi:10.3390/e14112291
Article

Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity

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Received: 14 September 2012; in revised form: 31 October 2012 / Accepted: 8 November 2012 / Published: 12 November 2012
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract: We examine the weak version of the third law of black hole thermodynamics inthe n-dimensional Einstein–Gauss–Bonnet system with a negative cosmological constant.To see whether the extreme black hole solution with zero temperature is formed, weinvestigate the motion of the thin shell that has the equal mass to the extreme black holein the background described by the non-GR branch solutions. The interior of the shell isempty. Our analysis using the generalized Israel's junction condition shows that the shellcan contract beyond a certain radius and the degenerate horizon is formed for same range ofparameters. Hence, this model can be a counterexample of the third law.
Keywords: black holes; thermodynamics; modified gravity
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MDPI and ACS Style

Torii, T. Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity. Entropy 2012, 14, 2291-2301.

AMA Style

Torii T. Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity. Entropy. 2012; 14(11):2291-2301.

Chicago/Turabian Style

Torii, Takashi. 2012. "Violation of the Third Law of Black Hole Thermodynamics inHigher Curvature Gravity." Entropy 14, no. 11: 2291-2301.

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