Thermodynamics of Asymptotically Conical Geometries

TL;DR

This paper investigates the thermodynamics of asymptotically conical geometries, deriving key physical quantities and confirming the validity of thermodynamic laws and inequalities in these spacetimes.

Contribution

It provides a detailed analysis of thermodynamic properties of subtracted geometries, establishing the equivalence of different mass definitions and extending thermodynamic relations to AC geometries.

Findings

Mass and angular momentum are shown to be equivalent across methods.

The Smarr formula and first law are confirmed for these geometries.

An analog of the Christodoulou-Ruffini inequality is proposed.

Abstract

We study the thermodynamical properties of a class of asymptotically conical (AC) geometries known as "subtracted geometries". We derive the mass and angular momentum from the regulated Komar Integral and the Hawking-Horowitz prescription and show that they are equivalent. By deriving the asymptotic charges we show that the Smarr formula and the first law of thermodynamics hold. We also propose an analog of Christodulou-Ruffini inequality. The analysis can be generalized to other AC geometries.