Noncommutative corrections to the Schwarzschild-AdS metric shift circular orbits and yield a Mercury perihelion constraint on the noncommutative length scale near 10^-32 meters.
On the Stability of Planetary Circular Orbits in Noncommutative Spaces
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abstract
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.
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gr-qc 1years
2024 1verdicts
REJECT 1representative citing papers
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Geodesic motion of a test particle around a noncommutative Schwarzchild Anti-de Sitter black hole
Noncommutative corrections to the Schwarzschild-AdS metric shift circular orbits and yield a Mercury perihelion constraint on the noncommutative length scale near 10^-32 meters.