Eur. Phys. J. C (2015) 75: 508
https://doi.org/10.1140/epjc/s10052-015-3734-9

Regular Article - Theoretical Physics

Accretion processes for general spherically symmetric compact objects

¹ Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, UK
² Department of Mathematics, School of Natural Sciences (SNS), National University of Sciences and Technology (NUST), H-12, Islamabad, Pakistan

^* e-mail: sebastian.beltran.14@ucl.ac.uk

Received: 25 September 2015
Accepted: 14 October 2015
Published online: 28 October 2015

Abstract

We investigate the accretion process for different spherically symmetric space-time geometries for a static fluid. We analyze this procedure using the most general black hole metric ansatz. After that, we examine the accretion process for specific spherically symmetric metrics obtaining the velocity of the sound during the process and the critical speed of the flow of the fluid around the black hole. In addition, we study the behavior of the rate of change of the mass for each chosen metric for a barotropic fluid.