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

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.