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

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 $\varphi =\ln \left(\frac{r_0}{r}+1\right)$ 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.

21 pages, 14 figures

References in corpus (25)

• Traversable wormholes: Some simple examples
• Traversable wormholes from surgically modified Schwarzschild spacetimes
• Modified-gravity wormholes without exotic matter
• Einstein-Gauss-Bonnet traversable wormholes satisfying the weak energy condition
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• The Lovelock Black Holes
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Brans wormholes
• Evolving wormhole geometries within nonlinear electrodynamics
• Avoidance of Big Rip In Phantom Cosmology by Gravitational Back Reaction
• Higher-dimensional evolving wormholes satisfying the null energy condition
• Thin-shell wormholes in Brans-Dicke gravity
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Wormholes minimally violating the null energy condition
• Gravitational lensing effect in traversable wormholes
• Thin-shell wormholes in Rastall gravity
• Cylindrical wormholes in DGP gravity
• Traversable wormholes: minimum violation of null energy condition revisited
• Wormholes and solitonic shells in five-dimensional DGP theory
• Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity
• Addendum to "Thin-shell wormholes supported by ordinary matter in Einstein-Gauss-Bonnet gravity"
• Wormhole modeling in $R^2$ gravity with linear trace term

Cited by in corpus (2)

• The 4D Einstein-Gauss-Bonnet Theory of Gravity: A Review
• Traversable wormhole solutions with non-exotic fluid in framework of $f(Q)$ gravity