# Traversable Wormholes in Higher Dimensional Theories of Gravity

## TL;DR

This paper reviews traversable wormhole solutions in higher-dimensional modified gravity theories, focusing on conditions that allow these solutions without violating energy conditions, unlike in classical General Relativity.

## Contribution

It provides a comprehensive analysis of wormhole solutions in higher-dimensional modified gravity theories that satisfy energy conditions, highlighting new parameter constraints and matter source considerations.

## Key findings

- Wormhole solutions can satisfy energy conditions in modified gravity with extra dimensions.
- Parameter constraints enable traversable wormholes without exotic matter.
- In-depth analysis of matter sources and energy condition compliance.

## Abstract

Wormhole solutions in classical General Relativity are unstable and hence non traversable. Morris and Thorne discovered a traversable wormhole solution that required the energy momentum tensor of matter sources to violate various energy conditions and are out of the purview of the standard model of particle physics. The search for traversable wormhole solutions in Modified Theories of Gravity has been of significant interest in the decades after Morris and Thorne first published their results as such violations may be avoided in such theories. This work comprehensively reviews traversable wormhole solutions in modified theories of gravity with extra dimensions that satisfy the various energy conditions with an in depth look at the matter sources and the various constraints on the parameters of the theory to make the energy momentum of the matter sources respect the energy conditions.