On the Stability of Planetary Circular Orbits in Noncommutative Spaces

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dc.creatorNozari, Kourosh
dc.creatorAkhshabi, Siamak
dc.date2006-08-16
dc.date2006-12-25
dc.date.accessioned2026-07-07T11:43:05Z
dc.date.available2026-07-07T11:43:05Z
dc.descriptionWe 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.
dc.description21 pages, 6 figures, revised version
dc.identifierhttps://arxiv.org/abs/gr-qc/0608076
dc.identifierhttp://arxiv.org/abs/gr-qc/0608076
dc.identifierChaosSolitonsFractals37:324,2008
dc.identifierdoi:10.1016/j.chaos.2006.09.042
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201111
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the Stability of Planetary Circular Orbits in Noncommutative Spaces
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