Wormholes in 4D Einstein–Gauss–Bonnet gravity

Recent times witnessed a significant interest in regularizing, a D → 4 limit, of EGB gravity initiated by Glavan and Lin [Phys. Rev. Lett. 124, 081301 (2020)] by re-scaling GB coupling constant as α / ( D - 4 ) and taking limit D → 4 , and in turn these regularized 4 D gravities have nontrivial gravitational dynamics. Interestingly, the maximally or spherically symmetric solution to all the regularized gravities coincides in the 4 D case. In view of this, we obtain an exact spherically symmetric wormhole solution in the 4 D 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 α → 0 , reduced exactly to vis- a ` -vis 4D Morris-Thorne of GR.