Analysis of accretion disk around a black hole in dRGT massive gravity

TL;DR

This paper investigates the properties of accretion disks around black holes in dRGT massive gravity, analyzing particle orbits, horizons, and potential astrophysical constraints on the theory.

Contribution

It provides a detailed analysis of accretion disk dynamics and stability in dRGT massive gravity, including potential observational constraints.

Findings

Stable circular orbits identified

Effective potentials plotted for different cases

Constraints on dRGT parameters suggested from gamma-ray bursts

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.