Stochastic cosmology, theories of perturbations and Lifshitz gravity
I.M. Khalatnikov, A.Yu. Kamenshchik

TL;DR
This paper reviews Lifshitz's contributions to stochastic cosmology, perturbation theories, and Horava-Lifshitz gravity, highlighting developments in anisotropic and isotropic universe models with scalar fields.
Contribution
It synthesizes Lifshitz's foundational ideas with recent advances in stochastic cosmology and Horava-Lifshitz gravity, emphasizing their interconnections.
Findings
Analysis of stochastic effects in anisotropic universes
Development of quasi-isotropic expansion methods
Insights into Horava-Lifshitz gravity applications in cosmology
Abstract
We review some works of E M Lifshitz connected with gravity and cosmology and also some later works, connected with his ideas. The main topics of this review are the stochastic cosmology of an anisotropic universe and of an isotropic universe with the scalar field, the quasi-isotropic (gradient) expansion in cosmology and Horava-Lifshitz gravity and cosmology.
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