Stability analysis of compactification in 3-d order Lovelock gravity
Dmitry Chirkov, Alexey Toporensky
TL;DR
This paper investigates the stability of extra dimensions in 3rd order Lovelock gravity, showing that negative curvature guarantees stability while positive curvature's stability depends on coupling constants.
Contribution
It provides a detailed stability analysis of compactification solutions in 3rd order Lovelock gravity, highlighting the role of spatial curvature.
Findings
Negative spatial curvature ensures stability of extra dimensions.
Stability with positive curvature depends on coupling constant values.
The analysis advances understanding of compactification in higher-order gravity theories.
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.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Differential Geometry Research