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arXiv 0810.1177gr-qchep-th
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Einstein-Gauss-Bonnet引力中的圆轨道

Circular Orbits in Einstein-Gauss-Bonnet Gravity

Valeria M. Rosa, Patricio S. Letelier

摘要:

在n维牛顿引力理论、爱因斯坦广义相对论和爱因斯坦-高斯-邦纳引力理论的背景下,研究了与围绕球对称引力中心运动的粒子有关的圆轨道在径向和垂直扰动下的稳定性。还考虑了宇宙学常数的存在。我们发现,这个常数以及高斯-博内耦合常数是至关重要的$n>4$的稳定性。

英文摘要:

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 $n>4$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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