Accretion Onto a Charged Higher-Dimensional Black Hole

TL;DR

This paper investigates steady-state polytropic fluid accretion onto higher-dimensional charged black holes, deriving key equations and analyzing how charge and extra dimensions influence accretion dynamics and profiles.

Contribution

It formulates generalized conservation equations and analyzes critical accretion parameters for higher-dimensional Reissner-Nordström black holes, extending previous work to include charge and extra dimensions.

Findings

Accretion slows down with increased charge in higher dimensions.

Results reduce to Schwarzschild case when charge is zero.

Gas temperature and compression profiles are characterized in the accretion process.

Abstract

This paper deals with the steady-state polytropic fluid accretion onto a higher-dimensional Reissner-Nordstr$\ddot{o}$m black hole. We formulate the generalized mass flux conservation equation, energy flux conservation and relativistic Bernoulli equation to discuss the accretion process. The critical accretion is investigated by finding critical radius, critical sound velocity and critical flow velocity. We also explore gas compression and temperature profiles to analyze the asymptotic behavior. It is found that the results for Schwarzschild black hole are recovered when $q=0$ in four dimensions. We conclude that accretion process in higher dimensions becomes slower in the presence of charge.