Orbital Motion of a test particle around a Schwarzschild's Black Hole in STVG gravity

TL;DR

This paper explores the orbital dynamics of particles around a Schwarzschild-like black hole in Scalar Tensor Vector Gravity (STVG), analyzing horizons, singularities, and stable orbits to compare with general relativity.

Contribution

It presents a static spherically symmetric solution in STVG, examines its horizon structure, and studies particle orbits and ISCO in this modified gravity context.

Findings

Kretschmann invariant reduces to GR form as alpha approaches zero.

Effective potential for test particles around STVG black hole developed.

Radius of the innermost stable circular orbit (ISCO) analyzed.

Abstract

In this article, we have examined the existence of a static spherically symmetric solution in the Scalar Tensor Vector Gravity (STVG) and investigated its horizon distances to develop boundary limitations for our test particle. We have computed the Kretschmann invariant of the metric to study the singularities and verify that it reduces to general relativity's Kretschmann invariant as $\alpha\rightarrow0$. Further, we investigated the orbital motion of a time-like and light-like test particle around the static solution by developing an effective potential and the radius of the innermost stable circular orbit (ISCO).