Circular motion of particle around Schwarzschild-MOG black hole

TL;DR

This paper investigates the effects of MOG gravity on the circular motion of particles around Schwarzschild-MOG black holes, including shadow size, orbital radii, and electromagnetic field behavior, revealing significant deviations from standard Schwarzschild black holes.

Contribution

It provides a detailed analysis of particle orbits, black hole shadow, and electromagnetic fields in Schwarzschild-MOG spacetime, highlighting new features due to MOG gravity.

Findings

MOG increases black hole shadow and photon sphere size.

ISCO and marginally bound orbits are larger in Schwarzschild-MOG.

Magnetic field near the black hole is non-uniform with denser field lines.

Abstract

In this note, we have analyzed the circular motion of test particles around the Schwarzschild-MOG black hole. First, we have studied the shadow cast by the spherical symmetric black hole within MOG gravity. It has been shown that due to the effect of MOG both the photonspere and shadow of the black hole increase. We have also shown that the characteristic radii of massive particles circularly orbiting around the Schwarzschild-MOG black hole, namely, the innermost stable circular orbits (ISCO) and marginally bound orbits are greater than that in pure Schwarzschild one. Assuming a black hole in the external uniform magnetic field we have studied the structure of the electromagnetic field. We have shown that the magnetic field behaves like non-uniform in the vicinity of the Schwarzschild-MOG black hole and field lines become denser. Finally, we investigated charged particles' motion around the Schwarzschild-MOG black hole in the presence of an external magnetic field and shown that the ISCO position for charged particle is always less than one for neutral particles.