Abstract
We show the analysis of a thin accretion disk around a static and spherically symmetric black hole in dRGT massive gravity. We present the accretion disk analysis in a gravitational theory with a nonzero graviton mass. Also, we study the event horizons of the black hole and we calculate the equations of motion and effective potential. In the following, we obtain the specific energy, specific angular momentum, and angular velocity of the particles which move in circular orbits. In addition, we plot the effective potentials for two cases and we show the locations of stable circular orbits. At last, we show the possibility of constraining the parameter space of dRGT massive gravity by the astrophysical gamma-ray bursts.
Highlights
It is noticeable that massive gravity theory can be considered as a modification of general relativity for describing the current accelerated expansion of the Universe without a dark energy component [9]
We have studied the thin accretion disk around the static and spherically symmetric black hole in de Rham–Gabadadze–Tolley (dRGT) massive gravity
We would like to get some insights into the differences in dRGT massive gravity in comparison with general relativity
Summary
Several observational evidences such as supernovas Ia [1,2], CMB [3,4] and baryon acoustic oscillations [5,6] have indicated that there exist accelerated expansion of the Universe. The charged black hole solution in dRGT was done by [26], and recently the gravitational wave echoes from black holes in massive gravity have been studied by [29] In this stage, it is interesting to note that the study of accretion disks around compact objects is one of the possible methods for showing the difference between general relativity and alternative theories. The goal of this paper is analysing the accretion disk around the black hole in dRGT massive gravity theory. 2 we present and review the non-linear dRGT massive gravity theory and a static and spherically symmetric black hole solution in this theory. We discuss the emission of the GRB from the accretion disk of the black hole in dRGT massive gravity.
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