Black Hole Zeroth Law in Higher Curvature Gravity
Rajes Ghosh, Sudipta Sarkar
TL;DR
This paper proves the zeroth law of black hole mechanics, showing the constancy of surface gravity, within higher curvature Lanczos-Lovelock gravity theories, extending classical results beyond Einstein's gravity.
Contribution
It provides the first proof of the zeroth law in Lanczos-Lovelock theories, incorporating higher curvature corrections to Einstein gravity.
Findings
Surface gravity is constant on stationary Killing horizons in Lanczos-Lovelock gravity.
The proof extends the zeroth law to higher curvature gravity theories.
Supports the thermodynamic analogy for black holes in modified gravity.
Abstract
The zeroth law of black hole mechanics is an assertion of constancy of the surface gravity on a stationary Killing horizon. The Hawking temperature of the black hole horizon is proportional to the surface gravity. Therefore, the constancy of the surface gravity is reminiscent of the zeroth law of ordinary thermodynamics. In this work, we provide a proof of the zeroth law in Lanczos-Lovelock theories of gravity, where the Einstein Hilbert action is supplemented by higher curvature terms.
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