First Law of Black Saturn Thermodynamics

TL;DR

This paper derives the first law of thermodynamics for a complex black object called black Saturn, composed of a black hole and black rings, within n-dimensional dilaton gravity with form fields.

Contribution

It presents the first derivation of the thermodynamic first law for black Saturn configurations in higher-dimensional dilaton gravity.

Findings

Derived the first law of thermodynamics for black Saturns.

Extended thermodynamic principles to n-dimensional dilaton gravity.

Provided a general framework for black objects with multiple horizons.

Abstract

The physical version and equilibrium state version of the first law of thermodynamics for a black object consisting of n-dimensional charged stationary axisymmetric black hole surrounded by $a$ black rings, the so-called black Saturn was derived. The general setting for our derivation is n-dimensional dilaton gravity with p + 1 strength form fields.