Wormholes and Off-Diagonal Solutions in f(R,T), Einstein and Finsler Gravity Theories

TL;DR

This paper explores the existence of off-diagonal solutions and wormhole configurations in various modified gravity theories, providing a framework for integrating complex gravitational field equations and presenting explicit examples.

Contribution

It demonstrates parameterizations of local frames and connections that enable solving f(R,T) gravity equations in off-diagonal forms with explicit solutions.

Findings

Existence of parameterizations for off-diagonal solutions in f(R,T) gravity

Explicit examples of exact off-diagonal solutions and wormholes

Framework for integrating complex gravitational field equations

Abstract

The aims of this work are 1) to sketch a proof that there are such parameterizations of the local frame and canonical connection structures when the gravitational field equations in f(R,T)-modified gravity, MG, can be integrated in generic off-diagonal forms with metrics depending on all spacetime coordinates and 2) to provide some examples of exact solutions.