Thermodynamics with pressure and volume of 4D Gauss-Bonnet AdS Black Holes under the scalar field

Abstract

By using the scattering of a scalar field, we discuss the thermodynamics and overcharging problem in a 4D Gauss-Bonnet AdS black hole in both the normal phase space and extended phase space. In the normal phase space, where the cosmological constant and Gauss-Bonnet parameter are fixed, the first law and the second law of thermodynamics are valid. In addiction, the black hole cannot be overcharged and the weak cosmic censorship conjecture is valid. In the extended phase space, where the cosmological constant and Gauss-Bonnet parameter are treated as the thermodynamic variables, the first law is still valid. However, the second law is indefinite. Moreover, after the scattering of the scalar field, the extremal black hole cannot be overcharged and the near-extremal black hole can be overcharged.

17 pages, 6 figures

References in corpus (6)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Thermodynamics and Weak Cosmic Censorship Conjecture in Nonlinear Electrodynamics Black Holes via Charged Particle Absorption
• Geometrothermodynamic Analysis and $P$-$V$ criticality of Higher Dimensional Charged Gauss-Bonnet Black Holes With First Order Entropy Correction

Cited by in corpus (4)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Joule-Thomson expansion of the torus-like black hole
• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence