Wormholes in 4D Einstein–Gauss–Bonnet gravity

• Published in: The European physical journal. C, Particles and fields Vol. 80; no. 8; pp. 1 - 13
• Main Authors: Jusufi, Kimet, Banerjee, Ayan, Ghosh, Sushant G.
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2020; Springer; Springer Nature B.V; SpringerOpen
• Subjects: Anisotropy; Astronomy; Astrophysics and Cosmology; Elementary Particles; Equations of state; Gravitation; Hadrons; Heavy Ions; Measurement Science and Instrumentation; Nuclear Energy; Nuclear Physics; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Regular Article - Theoretical Physics; Shape functions; String Theory; Wormholes
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-020-8287-x

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.