New Classes of Off-Diagonal Cosmological Solutions in Einstein Gravity

TL;DR

This paper introduces new off-diagonal anisotropic cosmological solutions in Einstein gravity using anholonomic deformation, revealing models that mimic inflation and could relate to dark energy and dark matter.

Contribution

It presents a novel method for constructing anisotropic, inhomogeneous cosmological solutions with off-diagonal metrics in Einstein gravity, expanding the landscape of exact solutions.

Findings

Certain solutions mimic de Sitter inflation scenarios.

Models exhibit local anisotropy and inhomogeneity.

Potential implications for dark energy and dark matter theories.

Abstract

In this work, we apply the anholonomic deformation method for constructing new classes of anisotropic cosmological solutions in Einstein gravity and/or generalizations with nonholonomic variables. There are analyzed four types of, in general, inhomogeneous metrics, defined with respect to anholonomic frames and their main geometric properties. Such spacetimes contain as particular cases certain conformal and/or frame transforms of the well known Friedman-Robertson-Walker, Bianchi, Kasner and Godel universes and define a great variety of cosmological models with generic off-diagonal metrics, local anisotropy and inhomogeneity. It is shown that certain nonholonomic gravitational configurations may mimic de Sitter like inflation scenaria and different anisotropic modifications without satisfying any classical false-vacuum equation of state. Finally, we speculate on perspectives when such off-diagonal solutions can be related to dark energy and dark matter problems in modern cosmology.