Circular Orbits in Einstein-Gauss-Bonnet Gravity
Valeria M. Rosa, Patricio S. Letelier
TL;DR
This paper investigates the stability of circular orbits in various gravitational theories, including Einstein-Gauss-Bonnet gravity, highlighting the importance of the cosmological constant and Gauss-Bonnet coupling for stability in higher dimensions.
Contribution
It provides a comparative analysis of orbit stability across Newtonian, Einstein, and Einstein-Gauss-Bonnet theories, emphasizing the role of the cosmological constant and Gauss-Bonnet term in higher dimensions.
Findings
Stability depends on the cosmological constant and Gauss-Bonnet coupling for dimensions greater than four.
In Einstein-Gauss-Bonnet gravity, certain parameter conditions ensure orbit stability.
The presence of a cosmological constant influences the stability criteria across theories.
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 .
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