Thermodynamics and weak cosmic censorship conjecture of the torus-like black hole

Abstract

After studying the energy-momentum relation of charged particles' Hamilton-Jacobi equations, we discuss the laws of thermodynamics and the weak cosmic censorship conjecture in torus-like black holes. We find that both the first law of thermodynamic as well as the weak cosmic censorship conjecture are valid in both the normal phase space and extended phase space. However, the second law of thermodynamics is only valid in the normal phase space. Our results show that the first law and weak cosmic censorship conjecture do not depend on the phase spaces while the second law depends. What's more, we find that the shift of the metric function that determines the event horizon take the same form in different phase spaces, indicating that the weak cosmic censorship conjecture is independent of the phase space.

15 pages

References in corpus (4)

• Thermodynamics of de Sitter Black Holes: Thermal Cosmological Constant
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Thermodynamics with Pressure and Volume under Charged Particle Absorption
• Holographic thermalization and gravitational collapse in the spacetime dominated by quintessence dark energy

Cited by in corpus (6)

• Joule-Thomson expansion of Lower-dimensional black hole
• Regular solutions for black strings and torus-like black holes
• Charged torus-like black holes as heat engines
• The Weak Cosmic Censorship Conjecture in Hairy Kerr Black Holes
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• Thermodynamic and observational implications of black holes in toroidal geometry