Constraints from accretion onto a Tangherlini-Reissner-Nordstrom black hole

TL;DR

This paper analyzes the conditions for steady accretion onto higher-dimensional charged black holes, revealing constraints on mass and charge ratios that may challenge cosmic censorship.

Contribution

It provides an analytical study of accretion onto Tangherlini-Reissner-Nordstrom black holes in arbitrary dimensions, highlighting conditions for accretion and potential violations of cosmic censorship.

Findings

Accretion conditions constrain mass-to-charge ratio.

Critical points and velocities are analytically determined.

High charge ratios may produce naked singularities.

Abstract

We investigate spherically symmetric, steady state, adiabatic accretion onto a Tangherlini-Reissner-Nordstrom black hole in arbitrary dimensions by using $D$-dimensional general relativity. We obtain basic equations for accretion and determine analytically the critical points, the critical fluid velocity, and the critical sound speed. We lay emphasis on the condition under which the accretion is possible. This condition constrains the ratio of mass to charge in a narrow limit, which is independent of dimension for large dimension. This condition may challenge the validity of the cosmic censorship conjecture since a naked singularity is eventually produced as the magnitude of charge increases compared to the mass of black hole.