Study of motion around a static black hole in Einstein and Lovelock gravity
arXiv:1412.4013 · doi:10.1103/PhysRevD.91.064063
Abstract
We study motion around a static Einstein and pure Lovelock black hole in higher dimensions. It is known that in higher dimensions, bound orbits exist only for pure Lovelock black hole in all even dimensions, D=2N+2, where N is degree of Lovelock polynomial action. In particular, we compute periastron shift and light bending and the latter is given by one of transverse spatial components of Riemann curvature tensor. We also consider pseudo-Newtonian potentials and Kruskal coordinates.
arXiv comment8 pages including 8 figures and 1 table, discussion and references modified; version accepted for publication in Physical Review D
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