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

v2: 8 pages, 4 figures, texts modified and references added, version accepted by Physics Letters B

References in corpus (6)

• Black holes in vector-tensor theories
• Phase transitions in geometrothermodynamics
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Jeans analysis in modified gravity
• Hawking radiation of linear dilaton black holes
• Hairy black hole solutions in $U(1)$ gauge-invariant scalar-vector-tensor theories

Cited by in corpus (5)

• Dark energy in scalar-vector-tensor theories
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Effect of Dark Energy in Geometrothermodynamics and Phase Transitions of Regular Bardeen AdS Black Hole
• Analytic Electrically Charged Black Holes in $F(R)$-ModMax Theory
• Exploring Self-Gravitating Cylindrical Structures in Modified Gravity: Insights from Scalar-Vector-Tensor Theory