Circular orbits in Einstein-Gauss-Bonnet gravity

Journal Article · Wed Oct 15 04:00:00 EDT 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.084038· OSTI ID:21254463

Rosa, Valeria M; Letelier, Patricio S ^[1]

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1. Departamento de Matematica, Universidade Federal de Vicosa, 36570-000 Vicosa, M.G. (Brazil)

The stability under radial and vertical perturbations of circular orbits associated to particles orbiting a spherically symmetric center of attraction is studied in the context of the n-dimensional: the Newtonian theory of gravitation, Einstein's general relativity, and the 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.

• OSTI ID: 21254463
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 8 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CLASSICAL MECHANICS
COSMOLOGICAL CONSTANT
COUPLING CONSTANTS
DISTURBANCES
GENERAL RELATIVITY THEORY
GRAVITATION
MANY-DIMENSIONAL CALCULATIONS
ORBITS
PARTICLES
PERTURBATION THEORY
STABILITY