English

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

General Relativity and Quantum Cosmology 2022-11-23 v1

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 ϕ=ln(r0r+1)\phi=\ln \left( {\frac {r_{{0}}}{r}}+1 \right) and shape function b(r)=r0ln(r+1)ln(r0+1)b(r)={\frac{r_{0}\ln(r+1)}{\ln({r_0}+1)}} as well as anisotropic matter sources through equation of state (EoS) pr(r)=ωρ(r)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.

Keywords

Cite

@article{arxiv.2106.04369,
  title  = {Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity},
  author = {Ambuj Kumar Mishra and Shweta and Umesh Kumar Sharma},
  journal= {arXiv preprint arXiv:2106.04369},
  year   = {2022}
}

Comments

21 pages, 14 figures