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Abstract: In this paper, the equations of motion for geodesics in the neutral rotatingBlack Ring metric are derived and the separability of these equations isconsidered. The bulk of the paper is concerned with sets of solutions where thegeodesic equations can be examined analytically - specifically geodesicsconfined to the axis of rotation, geodesics restricted to the equatorial plane,and geodesics that circle through the centre of the ring. The geodesics on therotational axis behave like a particle in a potential well, while the geodesicsconfined to the equatorial plane mimic those of the Schwarzschild metric. It isshown that it is impossible to have circular orbits that pass through the ring,but some numerical results are presented which suggest that it is possible tohave bound orbits that circle through the ring.



Autor: James Hoskisson

Fuente: https://arxiv.org/







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