Null Geodesics and Red-Blue Shifts of Photons Emitted from Geodesic Particles Around a Non-Commutative Black Hole Spacetime

TL;DR

This paper studies how photons move and experience frequency shifts around a non-commutative Schwarzschild black hole, revealing that its gravitational attraction is stronger than in classical Schwarzschild black holes.

Contribution

It analyzes photon geodesics, effective potentials, and redshift in non-commutative black hole spacetime, providing new insights into observable effects of non-commutative geometry.

Findings

Photon trajectories depend on impact parameter.

Photons experience measurable redshift.

Non-commutative black holes are more gravitationally attractive.

Abstract

We investigate the geodesic motion of massless test particles in the background of a noncommutative geometry inspired Schwarzschild black hole. The behaviour of effective potential is analysed in the equatorial plane and the possible motions of massless particles (i.e. photons) for different values of impact parameter are discussed accordingly. We have also calculated the frequency shift of photons in this spacetime. Further, the mass parameter of a non-commutative inspired Schwarzschild black hole is computed in terms of the measurable redshift of photons emitted by massive particles moving along circular geodesics in equatorial plane. It is observed that the the gravitational field of a non-commutative inspired Schwarzschild black hole is more attractive than the Schwarzschild black hole in General Relativity.