On the Scalar-Vector-Tensor Gravity: Black Hole, Thermodynamics and Geometrothermodynamics

TL;DR

This paper explores a new class of scalar-vector-tensor gravity theories, revealing novel black hole solutions, analyzing their thermodynamics, and applying geometrothermodynamics to confirm the consistency of thermodynamic properties.

Contribution

It introduces new black hole solutions within scalar-vector-tensor gravity and applies geometrothermodynamics to validate their thermodynamic characteristics.

Findings

Discovered novel metric functions for black holes.

Analyzed black hole thermodynamics including entropy, temperature, and heat capacity.

Confirmed thermodynamic properties using geometrothermodynamics.

Abstract

Recently, a new class of modified gravity theories formulated via an additional scalar and vector field on top of the standard tensor field has been proposed. The direct implications of these theories are expected to be relevant for cosmology and astrophysics. In the present work, we revisit the modified framework of the scalar-vector-tensor theories of gravity. Surprisingly, we discover novel metric function for the black hole solutions. We also investigate the semi-classical thermodynamics of the black holes and study the thermodynamic properties of the obtained solutions. Moreover, we quantify the entropy and the temperature of the new black hole and also calculate the heat capacity. Finally, we also apply the formalism of the geometrothermodynamics to examine thermodynamic properties of the new black hole. This formalism yields results consistent with those obtained from the usual thermodynamic implementation.