Circular Orbits in Einstein-Gauss-Bonnet Gravity

Abstract

The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is study in the context of the n-dimensional: Newtonian theory of gravitation, Einstein's general relativity, and Einstein-Gauss-Bonnet theory of gravitation. The presence of a cosmological constant is also considered. We find that this constant as well as the Gauss-Bonnet coupling constant are crucial to have stability for $n>4$.

11 pages, 4 figs, RevTex, Phys. Rev. D, in press

References in corpus (3)

• Five-dimensional rotating black holes in Einstein-Gauss-Bonnet theory
• Constants of Geodesic Motion in Higher-Dimensional Black-Hole Spacetimes
• Dynamical black holes with symmetry in Einstein-Gauss-Bonnet gravity