Abstract
This paper investigates particle dynamics around the noncommutative Reissner Nordström black hole. We study escape velocity of the particle at innermost stable circular orbit. In order to discuss the stability of orbits we analyze effective potential.We compare our results with the dynamics of particles in Reissner Nordström as well as noncommutative Schwarzschild black hole. We observe that the noncommutative parameter affects the motion of particles.
Highlights
It is believed that the concept of continuous spacetime breaks down at short distances
We explore the dynamics of particles around Noncommutative Reissner Nordstrom (NCRN) black holes (BHs)
The left plot shows that the escape velocity is higher for Θ = 0, the increasing values NC parameter correspond to less chances for the particle to escape from the vicinity of the BH
Summary
It is believed that the concept of continuous spacetime breaks down at short distances (of the order of Planck lenght). The noncommutativity of spacetime is based on quantum mechanics. [xα, xβ] = ιΘαβ, where Θαβ is antisymmetric matrix that has dimension (lenght), it is real valued It describes a small region in αβ-plane (of the observable domain) as the Planck’s constant represents very small fundamental cell of the observable phase space in quantum mechanics. In the framework of quantum mechanics, the singular sources are smeared out and the spacetime is described by NC geometry. Such modifications to GR have a compelling effect on the BH structure. We explore the dynamics of particles around Noncommutative Reissner Nordstrom (NCRN) BH.
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