Note on properties of exact cosmological solutions in Lovelock gravity
S. Pavluchenko, A. Toporensky
TL;DR
This paper investigates unique properties of exact cosmological solutions in Lovelock gravity, highlighting differences from General Relativity, especially regarding exponential and generalized Milne solutions in a multidimensional anisotropic universe.
Contribution
It identifies specific features of Lovelock gravity solutions that are absent in General Relativity, expanding understanding of higher-dimensional cosmological models.
Findings
Existence of exponential solutions in Lovelock gravity.
Presence of generalized Milne solutions unique to Lovelock gravity.
Differences between Lovelock and Einstein gravity solutions.
Abstract
We study some properties of exact cosmological solutions for a flat multidimensional anisotropic Universe in Lovelock gravity. A particular attention is paid to some features of solution in a general Lovelock gravity which have no their counterparts in analogous solution of General Relativity. We consider exponential solutions and so called generalized Milne solution and discuss reasons for these solution to exist in Lovelock gravity and do not exist in General Relativity.
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