The issue of zeroth law for Killing horizons in Lanczos-Lovelock gravity
Sudipta Sarkar, Swastik Bhattacharya
TL;DR
This paper investigates the zeroth law for Killing horizons within Lanczos-Lovelock gravity, revealing that unlike in general relativity, the surface gravity may not be constant even under standard energy conditions.
Contribution
It demonstrates that the zeroth law does not generally hold in Lanczos-Lovelock gravity, highlighting differences from Einstein's theory.
Findings
Surface gravity may vary on Killing horizons in Lanczos-Lovelock gravity.
The zeroth law's validity depends on specific conditions beyond those in general relativity.
The law holds in general relativity but generally fails in Lanczos-Lovelock gravity.
Abstract
We study the zeroth law for Killing horizons in Lanczos-Lovelock gravity. We show that the surface gravity of a general Killing horizon in Lanczos-Lovelock gravity (except for general relativity) may not be constant even when the matter source satisfies dominant energy condition.
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