Weak Cosmic Censorship Conjecture in Kerr-Newman-(Anti-)de Sitter Black Hole with Charged Scalar Field

TL;DR

This paper examines whether extremal and near-extremal Kerr-Newman-(anti-)de Sitter black holes can be overcharged or overspun by charged scalar field scattering, finding the weak cosmic censorship conjecture remains valid under various boundary conditions.

Contribution

It demonstrates that the weak cosmic censorship conjecture holds for Kerr-Newman-(anti-)de Sitter black holes under scalar field scattering, regardless of boundary conditions, and shows thermodynamic preference for this stability.

Findings

Black holes cannot be overcharged or overspun by scalar field scattering.

The weak cosmic censorship conjecture is valid for all boundary conditions considered.

The conjecture is thermodynamically favored during the scattering process.

Abstract

We investigate the weak cosmic censorship conjecture in extremal and near-extremal Kerr-Newman-(anti-)de Sitter black holes by the scattering of a massive scalar field with an electric charge. Under this scattering, the scalar field fluxes change the black hole state, as determined by the mass, angular momentum, and electric charge. The black hole may exceed its extremal condition because of these changes. However, we find that the black hole cannot be overcharged or overspun by the scattering. In particular, although the fluxes are closely associated with the asymptotic boundary conditions along the flat, anti-de Sitter, and de Sitter spacetimes, the weak cosmic censorship conjecture is valid for any scalar field boundary conditions. Moreover, the validity of the weak cosmic censorship conjecture is thermodynamically preferred for this scattering.