Abstract
In this work, we present the new technique for discussing the dynamical motion of neutral as well as charged particles in the absence/presence of magnetic field around the time conformal Schwarzschild black hole. Initially, we find the numerical solutions of geodesics of Schwarzschild black hole and the time conformal Schwarzschild black hole. We observe that the Schwarzschild spacetime admits the time conformal factor $e^{\epsilon f(t)}$, where $f(t)$ is an arbitrary function and $\epsilon$ is very small which causes the perturbation in the spacetimes. This technique also re-scale the energy content of spacetime. We also investigate the thermal stability, horizons and energy conditions corresponding time conformal Schwarzschild spacetime. Also, we examine the dynamics of neutral and charged particle around time conformal Schwarzschild black hole. We investigate the circumstances under which the particle can escape from vicinity of black hole after collision with another particle. We analyze the effective potential and effective force of particle in the presence of magnetic field with angular momentum graphically.
Highlights
The dynamics of a particles in the vicinity of a black hole (BH) is the most intriguing problems in the BH astrophysics
The transfer of energy to particles moving around in a BH geometry is due to the magnetic field, so that there is a possibility of their escape to spatial infinity [6]
We found the conservation laws corresponding to the exact Schwarzschild spacetime and the time conformal Schwarzschild spacetime and compare their numerical solutions
Summary
The dynamics of a particles (massless or massive, neutral or charged) in the vicinity of a black hole (BH) is the most intriguing problems in the BH astrophysics. The transfer of energy to particles moving around in a BH geometry is due to the magnetic field, so that there is a possibility of their escape to spatial infinity [6]. A high energy may be produced by a charged particles collision in the presence of a magnetic field rather than its absence. We calculate the escape velocity of a particle and investigate some important characteristics such as the effective potential and the effective force of particle motions around the BH with respect to time. 3, we investigate the dynamics of a neutral particle through the effective potential, effective force, and escape velocity. 4, the motion of the charged particle is discussed, the behavior of the effective potential, effective force and escape velocity is analyzed in the presence of a magnetic field. One can obtain the approximate Noether symmetries of a Schwarzschild solution by considering its first order perturbation and investigating the energy-momentum of corresponding spacetime
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have