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.

arXiv comment17 pages, 6 figures

References in corpus (31)

• P-V criticality of charged AdS black holes
• Gauss-Bonnet Black Holes in AdS Spaces
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Extended thermodynamics and microstructures of four-dimensional charged Gauss-Bonnet black hole in AdS space
• Anti-de Sitter Black Hole Thermodynamics in Higher Derivative Gravity and New Confining-Deconfining Phases in dual CFT
• Thermodynamics and P-v criticality of Bardeen-AdS Black Hole in 4-D Einstein-Gauss-Bonnet Gravity
• Charged 4D Einstein-Gauss-Bonnet-AdS Black Holes: Shadow, Energy Emission, Deflection Angle and Heat Engine
• Joule-Thomson expansion of charged Gauss-Bonnet black holes in AdS space
• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Weak cosmic censorship conjecture for the novel $4D$ charged Einstein-Gauss-Bonnet black hole with test scalar field and particle
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Weak cosmic censorship conjecture for Kerr-Taub-NUT black hole with test scalar field and particle
• Thermodynamics and weak cosmic censorship conjecture in Reissner-Nordstr$\ddot{o}$m anti-de Sitter black holes with scalar field
• Weak cosmic censorship conjecture with pressure and volume in the Gauss-Bonnet AdS black hole
• Thermodynamics and Weak Cosmic Censorship Conjecture of 4D Gauss-Bonnet-Maxwell Black Holes via Charged Particle Absorption
• The weak cosmic censorship conjecture and thermodynamics in the quintessence AdS black hole under charge particle absorption
• No Violation of the Second Law in Extended Black Hole Thermodynamics
• Chaos in Charged Gauss-Bonnet AdS Black Holes in Extended Phase Space
• Thermodynamics and weak cosmic censorship conjecture in the Kerr-AdS black hole
• Overspinning Kerr-MOG black holes by test fields and the third law of black hole dynamics
• Overcharging problem and thermodynamics in extended phase spaces
• 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
• Thermodynamics and weak cosmic censorship conjecture of an AdS black hole with a monopole in the extended phase space

Cited by in corpus (6)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Joule-Thomson expansion of Lower-dimensional black hole
• Thermodynamics with pressure and volume of black holes based on two assumptions under scalar field scattering
• 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