Abstract
Recent times witnessed a significant interest in regularizing, a D rightarrow 4 limit, of EGB gravity initiated by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] by re-scaling GB coupling constant as alpha /(D-4) and taking limit D rightarrow 4, and in turn these regularized 4D gravities have nontrivial gravitational dynamics. Interestingly, the maximally or spherically symmetric solution to all the regularized gravities coincides in the 4D case. In view of this, we obtain an exact spherically symmetric wormhole solution in the 4D EGB gravity for an isotropic and anisotropic matter sources. In this regard, we consider also a wormhole with a specific radial-dependent shape function, a power-law density profile as well as by imposing a particular equation of state. To this end, we analyze the flare-out conditions, embedding diagrams, energy conditions and the volume integral quantifier. In particular our −ve branch results, in the limit alpha rightarrow 0, reduced exactly to vis-grave{a}-vis 4D Morris-Thorne of GR.
Highlights
Modern interest has been focused on traversable Lorentzian wormholes, was suggested by Morris and Thorne [1] and subsequently Morris, Thorne and Yurtsever [8]
The 4D EGB theory received compelling attention initiated by Glavan and Lin [55] who proposed a static spherically symmetric vacuum black holes which hold interesting properties, e.g., the black holes are free from the singularity problem, at small distances, the gravitational force is repulsive and an infalling particle fails to reach the singularity [55]
The paper is organized as follows: In the Sect. 2, we review the field equations in the 4D EGB gravity and show that it makes a nontrivial contribution to gravitational dynamics in 4D as well
Summary
Modern interest has been focused on traversable Lorentzian wormholes (which have no horizons, allowing two-way passage through them), was suggested by Morris and Thorne [1] and subsequently Morris, Thorne and Yurtsever [8]. The 4D EGB theory received compelling attention initiated by Glavan and Lin [55] (see [56,57]) who proposed a static spherically symmetric vacuum black holes which hold interesting properties, e.g., the black holes are free from the singularity problem, at small distances, the gravitational force is repulsive and an infalling particle fails to reach the singularity [55]. This is in contrast to the analogous H D black holes [52] Schwarzschild like curvature singularity inevitably forms. Obtained in [55,57] are exactly same as obtained in other regularised theories [84,89,91,94]
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