Cosmological Solutions in Biconnection and Bimetric Gravity Theories

TL;DR

This paper develops a method to construct complex cosmological solutions in massive gravity theories, explaining late-time acceleration and effects akin to dark energy and dark matter through off-diagonal metric interactions.

Contribution

It introduces a novel approach using anholonomic frame deformation to generate off-diagonal cosmological solutions in biconnection and bimetric gravity theories.

Findings

Solutions describe late-time acceleration due to effective cosmological terms

Models incorporate matter, graviton mass, and nonlinear interactions

Potential explanations for dark energy and dark matter effects

Abstract

We show how generic off--diagonal cosmological solutions depending, in general, on all spacetime coordinates can be constructed in massive gravity using the anholonomic frame deformation method. Such metrics describe the late time acceleration due to effective cosmological terms induced by nonlinear off--diagonal interactions and graviton mass and include matter, graviton mass and other effective sources modelling nonlinear gravitational and matter fields interactions with polarization of physical constants and deformations of metrics, which may explain certain dark energy and dark matter effects.