Black Rings and the Physical Process Version of the First Law of Thermodynamics

TL;DR

This paper extends the physical process version of the first law of thermodynamics to black rings in higher-dimensional Einstein gravity with additional fields, deriving variations of key quantities and proving the law for stationary black rings.

Contribution

It introduces the first derivation of the physical process version of the first law for black rings in higher dimensions with extra fields.

Findings

Derived first order variations of mass, angular momentum, and charge for black rings.

Proved the physical process version of the first law for stationary black rings.

Extended thermodynamic laws to higher-dimensional black objects with additional fields.

Abstract

We consider the problem of physical process version of the first law of black ring thermodynamics in n-dimensional Einstein gravity with additional (p+1)-form field strength and dilaton fields. The first order variations of mass, angular momentum and local charge for black ring was derived. By means of them we prove the physical process version of the first law of thermodynamics for stationary black rings.