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Equilibrium configuration of perfect fluid orbiting around black holes in some classes of alternative gravity theories

2014/06/30 by Sumanta Chakraborty · 11 citations
Physics and Astronomy · #Accretion (finance) #Angular momentum #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Cosmology and Gravitation Theories #Equipotential surface #General relativity #Perfect fluid #Specific relative angular momentum #Spherically symmetric spacetime #astro-ph.CO #gr-qc

paper · pdf · doi:10.1088/0264-9381/32/7/075007

published in Classical and Quantum Gravity 32(7), 075007 (IOP Publishing) · 29 pages; 4 figures; Thoroughly Revised; Matches Published Version

arxiv created 2015/03/10 · openalex publication_date 2015/03/10 · arxiv updated 2015/03/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

The hydrodynamic behavior of perfect fluid orbiting around black holes in spherically symmetric spacetime for various alternative gravity theories has been investigated. For this purpose we have assumed a uniform distribution for the angular momentum density of the rotating perfect fluid. The contours of equipotential surfaces are illustrated in order to obtain the nature of inflow and outflow of matter. It has been noticed that the marginally stable circular orbits originating from decreasing angular momentum density lead to closed equipotential surfaces along with cusps, allowing the existence of accretion disks. On the other hand, the growing part of the angular momentum density exhibits central rings for which stable configurations are possible. However, inflow of matter is prohibited. Among the solutions discussed in this work, the charged F ( R ) gravity and Einstein–Maxwell–Gauss–Bonnet solutions exhibit inflow and outflow of matter with central rings present. These varied accretion disk structures of perfect fluid attribute astrophysical importance to these spacetimes. The effect of higher curvature terms predominantly arises from the region near the black hole horizon. Hence the structural difference of the accretion disk in modified gravity theories in comparison to general relativity may act as an experimental probe for these alternative gravity theories.

Citations