Test the Weak Cosmic Censorship Conjecture in Torus-Like Black Hole under Charged Scalar Field

Abstract

We investigate weak cosmic censorship conjecture in charged torus-like black hole by the complex scalar field scattering. Using the relation between the conserved quantities of a black hole and the scalar field, we can calculate the change of the energy and charge within the infinitesimal time. The change of the enthalpy is connected to the change of energy, then we use those results to test whether the first law, the second law as well as the weak cosmic censorship conjecture are valid. In the normal phase space, the first law of thermodynamics and the weak cosmic censorship conjecture are valid, and the second law of thermodynamics is not violated. For the specific black hole under scalar field scattering we consider, in the extend phase space, the first law of thermodynamics and the weak cosmic censorship conjecture are valid. However, the second law of thermodynamics is violated when the black hole's initial charge reaches a certain value.

arXiv comment19 pages, 4 figures; typos corrected, references added

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Cited by in corpus (7)

• Remarks on the weak cosmic censorship conjecture of RN-AdS black holes with cloud of strings and quintessence under the scalar field
• Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field
• Regular solutions for black strings and torus-like black holes
• Charged torus-like black holes as heat engines
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Weak Cosmic Censorship Conjecture in Myers-Perry Black Hole with Separability
• Thermodynamics of Warped Anti-de Sitter Black Holes under Scattering of Scalar Field