English

Stability analysis of compactification in 3-d order Lovelock gravity

General Relativity and Quantum Cosmology 2023-01-19 v1 High Energy Physics - Theory

Abstract

It is known that spatial curvature can stabilize extra dimensions in Lovelock gravity. In the present paper we study stability of the stabilization solutions in 3-d order Lovelock gravity. We show that in the case of negative spatial curvature of extra dimension space the stabilization solution is always stable. On the contrary, for positive spatial curvature the stability depends on the coupling constant values.

Cite

@article{arxiv.2301.07192,
  title  = {Stability analysis of compactification in 3-d order Lovelock gravity},
  author = {Dmitry Chirkov and Alexey Toporensky},
  journal= {arXiv preprint arXiv:2301.07192},
  year   = {2023}
}

Comments

9 pages, 4 figures

R2 v1 2026-06-28T08:13:55.920Z