Stability Analysis of Compactification in 3rd Order Lovelock Gravity

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 3rd order Lovelock gravity. We show that in the case of negative spatial curvature of extra-dimensional space, the stabilization solution...

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Bibliographic Details
Published in:Gravitation & cosmology 2023-09, Vol.29 (3), p.262-268
Main Authors: Chirkov, D., Toporensky, A.
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Classical and Quantum Gravitation
Curvature
Observations and Techniques
Physics
Physics and Astronomy
Quantum Physics
Relativity Theory
Stability analysis
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Summary: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 3rd order Lovelock gravity. We show that in the case of negative spatial curvature of extra-dimensional space, the stabilization solution is always stable. On the contrary, for positive spatial curvature, the stability depends on the coupling constant values.
ISSN:0202-2893
1995-0721
DOI:10.1134/S0202289323030064