Thermal analysis of black hole in de Rham--Gabadadze--Tolley massive gravity in Barrow entropy framework

Abstract

This study examines a recently hypothesized black hole solution in de Rham--Gabadadze--Tolley massive gravity. Firstly, we consider the negative cosmological constant as a thermodynamic pressure. We extract the thermodynamical properties such as Hawking temperature, heat capacity and Gibbs free energy using the Barrow entropy. We also obtain a new pressure associated to the perfect fluid dark matter and discuss the first-order van der Waals-like phase transition. This black hole's stability is investigated through specific heat and Gibbs free energy. Also, we analyze the thermodynamic curvatures behavior of black hole through geometry methods (Weinhold, Ruppeiner, Hendi-Panahiyah-Eslam-Momennia (HPEM), and geometrothermodynamics (GTD)).

19 pages, 18 captioned figures, published in Physica Scripta

References in corpus (7)

• Barrow black hole corrected-entropy model and Tsallis nonextensivity
• Hairy Black Holes in Massive Gravity: Thermodynamics and Phase Structure
• Are ultra-spinning Kerr-Sen-AdS${}_4$ black holes always super-entropic ?
• Phase transition of a charged AdS black hole with a global monopole through geometrical thermodynamics
• Coexistent Physics and Microstructure of the Regular Bardeen Black Hole in Anti-de Sitter Spacetime
• Thermodynamics and phase transition of BTZ black hole in a cavity
• Massive gravity solution of Black Holes and Entropy Bounds

Cited by in corpus (2)

• Ayón--Beato--García black hole coupled with a cloud of strings: thermodynamics, shadows and quasinormal modes
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics