Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-08-16
ChaosSolitonsFractals37:324,2008
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 pages, 6 figures, revised version
Scientific paper
10.1016/j.chaos.2006.09.042
We investigate the effects of space noncommutativity and the generalized uncertainty principle on the stability of circular orbits of particles in both a central force potential and Schwarzschild spacetime. We find noncommutative form of the effective potential which up to first order of noncommutativity parameter contains an angular momentum dependent extra term. This angular momentum dependent extra term affects the stability of circular orbits in such a way that the radius of a stable circular orbit in noncommutative space is larger than its commutative counterpart. In the case of large angular momentum, the condition for stability of circular orbits in noncommutative space differs considerably from commutative case.
Akhshabi Siamak
Nozari Kourosh
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