First law of black hole thermodynamics and the weak cosmic censorship conjecture for Kerr-Newman Taub-NUT black holes

Abstract

Stimulated by the recent researches of black hole thermodynamics for black hole with Newman-Unti-Tamburino (NUT) parameter, we investigate the thermodynamics and weak cosmic censorship conjecture for a Kerr-Newman Taub-NUT black hole. By defining the electric charge as a Komar integral over the event horizon, we construct a consistent first law of black hole thermodynamics for a Kerr-Newman Taub-NUT black hole through Euclidean action. Having the first law of black hole thermodynamics, we investigate the weak cosmic censorship conjecture for the black hole with a charged test particle and a complex scalar field. We find that an extremal black hole cannot be destroyed by a charged test particle and a complex scalar field. For a near-extremal black hole with small NUT parameter, it can be destroyed by a charged test particle but cannot be destroyed by a complex scalar field.

12 pages,3 figures,published version

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Cited by in corpus (7)

• Black Hole Chemistry: the first 15 years
• Weak Cosmic Censorship Conjecture Cannot be Violated in Gedanken Experiments
• Test fields and naked singularities: is the second law the cosmic censor?
• The First Law and Weak Cosmic Censorship for de Sitter Black Holes
• Overcharging a nonsingular black hole in general relativity: the nonlinear electrodynamic field effects
• Phase diagrams of quasinormal frequencies for Schwarzschild, Kerr, and Taub-NUT black holes
• The generalized second law for Kerr-Taub-NUT black holes perturbed by test field