Volume 121, Number 5, March 2018
|Number of page(s)||7|
|Published online||09 May 2018|
The first law and Ruppeiner geometry for Grumiller black hole
Department of Physics, Zhejiang University of Technology - Hangzhou 310023, China
Received: 3 February 2018
Accepted: 11 April 2018
This paper presents a geometric derivation of the integral formula of the first law for Grumiller black hole, which is an exact example that the mass of the whole space-time is infinite, but the mass of the black hole is finite. The results show that the Rindler acceleration should be considered as a new thermodynamic variable. Having the first law, we investigate Ruppeiner geometry for Rindler acceleration fixed ensemble and pressure fixed ensemble. Both of the geometries are curved. To uncover possible microscopic interactions, we plot the graphs for curvature scalar and study its behavior. For pressure fixed ensemble, we find, by comparing with heat capacity, the vanishing point of curvature scalar indicating the change of stability.
PACS: 04.70.Dy – Quantum aspects of black holes, evaporation, thermodynamics / 04.70.Bw – Classical black holes / 04.20.-q – Classical general relativity
© EPLA, 2018
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