Flow Dynamical Aspects of Black Holes in Rainbow Gravity

Abstract

In this dissertation the accretion of the Schwarzschild black hole immersed in an electromagnetic eld is discussed in the context of rainbow gravity. Discussion of the Hamilton Jacobi equations for astrophysical uid is also given. Then the cyclic and heteroclinic ow of the Schwarzschild black hole in rainbow gravity is discussed. Later, we nd the Hamiltonian, sonic points, non-sonic critical points of the given system and discuss the isothermal test uid with its solution. Further, conditions for critical accretion and polytropic solution for the Schwarzschild black hole are discussed in the framework of rainbow gravity.