Accretion with Back-Reaction onto Cylindrically Symmetric Black Hole with Energy Conditions Analysis

TL;DR

This study investigates how matter accretion affects cylindrically symmetric black holes, analyzing metric corrections, energy conditions, and thermodynamics, revealing that charge does not modify the corrected metric in a perturbative framework.

Contribution

The paper introduces a perturbative method to analyze back-reaction effects on cylindrically symmetric black holes, including energy conditions and thermodynamic properties, with new insights into charge effects.

Findings

Corrected metrics resemble Vaidya form near the horizon.

Charge does not alter the corrected metric in the perturbative regime.

Energy conditions are satisfied in the models studied.

Abstract

This paper is devoted to study back-reaction effects from matter accretion onto a cylindrically symmetric black hole using a perturbative scheme, focusing on cases where accretion reaches a quasi-steady state. We examine three distinct models by deriving corrections to the metric coefficients and obtaining expressions for the mass function. We analyze energy conditions, the self-consistency of the corrected solution and present formulas for the corrected apparent horizon and discussed thermodynamic properties. Our results align with the Vaidya form near the apparent horizon, regardless of the energy-momentum tensor's form. Furthermore, we show that for a charged cylindrically symmetric black hole, the corrected mass term resembles that of the static case, indicating that charge does not alter the corrected metric form in this perturbative approach.