Local first law of black hole

Abstract

We investigated the form and implications of the local first law of black hole thermodynamics in relation to an observer located at a finite distance from the black hole horizon. Our study is based on the quasilocal form of the first law for black hole thermodynamics, given by $\delta E=\frac{\bar{\kappa }}{8\pi }\delta A$, where $\delta E$ and $\delta A$ represent the changes in the black hole mass and area, respectively, and $\bar{\kappa }$ denotes the quasilocal surface gravity. We show that even at a finite distance, the quasilocal law still holds. It shows how the first law scales with the observer's location.

References in corpus (1)

• Island, Page Curve and Superradiance of Rotating BTZ Black Holes

Cited by in corpus (1)

• Bounds for Lyapunov exponent of circular light orbits in black holes