Surface Terms of Quasitopological Gravity and Thermodynamics of Charged Rotating Black Branes

TL;DR

This paper develops a well-defined variational principle for quasitopological gravity, introduces charged rotating black branes, and analyzes their thermodynamics using counterterms, Gibbs free energy, and a Smarr formula.

Contribution

It presents the surface term for quasitopological gravity, constructs charged rotating black brane solutions, and explores their thermodynamic properties and laws.

Findings

Finite action obtained via counterterm method

Thermodynamic quantities computed from Gibbs free energy

First law of thermodynamics verified with Smarr formula

Abstract

We introduce the surface term for quasitopological gravity in order to make the variational principle of the action well-defined. We also introduce the charged black branes of quasitopological gravity and calculate the finite action through the use of counterterm method. Then we compute the thermodynamic quantities of the black brane solution by use of Gibbs free energy and investigate the first law of thermodynamics by introducing a Smarr-type formula. Finally, we generalize our solutions to the case of rotating charged solutions.