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

In the present paper, we investigate wormholes in 4D Einstein–Gauss–Bonnet (EGB) gravity without the requirement of exotic matters. We have taken the radial-dependent red-shift function ϕ = ln r 0 r + 1 and shape function b ( r ) = r 0 ln ( r + 1 ) ln ( r 0 + 1 ) as well as anisotropic matter source...

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Bibliographic Details
Published in:Pramāṇa 2022-11, Vol.96 (4), Article 218
Main Authors: Mishra, Ambuj Kumar, Shweta, Sharma, Umesh Kumar
Format: Article
Language:English
Subjects:
Astronomy
Astrophysics and Astroparticles
Observations and Techniques
Physics
Physics and Astronomy
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Summary:In the present paper, we investigate wormholes in 4D Einstein–Gauss–Bonnet (EGB) gravity without the requirement of exotic matters. We have taken the radial-dependent red-shift function ϕ = ln r 0 r + 1 and shape function b ( r ) = r 0 ln ( r + 1 ) ln ( r 0 + 1 ) as well as anisotropic matter sources through the equation of state (EoS) p r ( r ) = ω ρ ( r ) . We examine the energy conditions, flaring-out condition, throat condition and anisotropic parameter. The volume integral quantifier is also analysed to validate the existence and stability of the WH solution. We find that the negative branch wormhole solutions satisfy the null energy conditions (NEC) throughout the entire space–time and positive branch reduces exactly to Morris–Thorne of GR.
ISSN:0973-7111
0973-7111
DOI:10.1007/s12043-022-02458-0