Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity

TL;DR

This paper demonstrates the existence of non-exotic matter wormholes in 4D Einstein-Gauss-Bonnet gravity, with some solutions satisfying energy conditions and others reducing to known GR solutions.

Contribution

It constructs specific wormhole solutions in 4D Einstein-Gauss-Bonnet gravity that do not require exotic matter, expanding the understanding of wormhole viability in modified gravity.

Findings

Negative branch solutions satisfy null energy conditions throughout spacetime.

Positive branch solutions reduce to Morris-Thorne wormholes in General Relativity.

The analysis confirms stability and existence of these wormholes without exotic matter.

Abstract

In the present paper, we investigate wormholes in 4D-Einstein-Gauss-Bonnet gravity without the requirement of exotic matters. We have taken the radial dependent red-shift function $\phi=\ln \left( {\frac {r_{{0}}}{r}}+1 \right)$ and shape function $b(r)={\frac{r_{0}\ln(r+1)}{\ln({r_0}+1)}}$ as well as anisotropic matter sources through equation of state (EoS) $p_r(r) = \omega \rho(r)$. We examine the energy conditions, flaring out condition, throat condition and anisotropic parameter. The volume integral quantifier is also analyzed to validate the existence and stability of the WH solution. We find, for -ve branch wormhole solutions satisfy the null energy conditions (NEC) throughout the entire space time and +ve branch reduces exactly to Morris-Thorne of GR.