Perfect fluid and scalar field in the Reissner-Nordstrom metric

TL;DR

This paper analyzes steady-state accretion of perfect fluids, including Chaplygin gas, onto Reissner-Nordstrom black holes and naked singularities, revealing conditions for static atmospheres and potential thermodynamic violations.

Contribution

It provides analytic solutions for fluid accretion with various equations of state in the Reissner-Nordstrom metric and explores the absence of steady accretion onto naked singularities.

Findings

Analytic solutions for fluid accretion with linear and Chaplygin equations of state.

No steady accretion onto Reissner-Nordstrom naked singularities, leading to static atmospheres.

Discussion of potential violation of the third law of black hole thermodynamics.

Abstract

We describe spherically symmetric steady-state accretion of perfect fluid in the Reissner-Nordstrom metric. We present analytic solutions for accretion of a fluid with the linear equations of state and of the Chaplygin gas. It is also shown that, under reasonable physical conditions, there is no steady-state accretion of a perfect fluid onto a Reissner-Nordstrom naked singularity. Instead, a static atmosphere of fluid is formed. We discuss a possibility of violation of the third law of black hole thermodynamics for a phantom fluid accretion.