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Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
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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.
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Cited by 1 Pith paper
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Traversable wormholes from a smoothed string fluid in 4D Einstein-Gauss-Bonnet gravity
A 4D Einstein-Gauss-Bonnet wormhole sourced by a smoothed string fluid is built, but the advertised null-energy-condition satisfaction and asymptotic flatness are not supported by the paper's own equations.
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