First Law of Black Rings Thermodynamics in Higher Dimensional Chern-Simons Gravity

TL;DR

This paper derives the first law of black ring thermodynamics in higher-dimensional Einstein gravity with a Chern-Simons term, extending previous five-dimensional results to more general settings.

Contribution

It presents the first derivation of the first law for black rings in higher dimensions with Chern-Simons terms, generalizing known five-dimensional cases.

Findings

Derived the physical process version of the first law.

Derived the equilibrium state version of the first law.

Extended black ring thermodynamics to higher dimensions with Chern-Simons terms.

Abstract

The physical process version and the equilibrium state version of the first law of black ring thermodynamics in n-dimensional Einstein gravity with Chern-Simons term were derived. This theory constitutes the simplest generalization of the five-dimensional one admitting a stationary black ring solutions. The equilibrium state version of the first law of black ring mechanics was achieved by choosing any cross section of the event horizon to the future of the bifurcation surface.