Viable Wormhole Solutions in Energy-Momentum Squared Gravity

TL;DR

This study explores static wormhole solutions within energy-momentum squared gravity, demonstrating the existence of stable, traversable wormholes that satisfy physical energy conditions using symmetry methods.

Contribution

It introduces a novel application of Noether symmetry to find viable wormhole solutions in energy-momentum squared gravity, a recent modified gravity theory.

Findings

Viable traversable wormholes are found for both dust and non-dust matter.

Stable wormhole solutions satisfy null and weak energy conditions.

Graphical analysis supports the physical viability of the solutions.

Abstract

This paper investigates static wormhole solutions through Noether symmetry approach in the context of energy-momentum squared gravity. This newly developed proposal resolves the singularity of big-bang and yields feasible cosmological results in the early times. We consider the particular model of this theory to establish symmetry generators and corresponding conserved quantities. For constant and variable red-shift functions, we examine the presence of viable traversable wormhole solutions for both dust as well as non-dust matter distributions and analyze the stable state of these solutions. We investigate the graphical interpretation of null and weak energy bounds for normal and effective energy-momentum tensors to examine the presence of physically viable wormhole geometry. It is found that realistic traversable and stable wormhole solutions are obtained for a particular model of this gravity.