Embedded class one analysis of wormhole configurations in 4D Einstein–Gauss–Bonnet gravity with logarithmic redshift functions
Maurya S.K. Kumar J. Chaudhary S. Errehymy A. Mustafa G. Myrzakulov K.
May 2025Elsevier B.V.
Physics of the Dark Universe
2025#48
This work delves into the characteristics of wormhole solutions in the context of 4D Einstein–Gauss–Bonnet gravity. The redshift function, χ(r), and the shape function, φS(r), are key components of the metric and play a crucial role in modeling wormholes. Our exploration reveals the influence of 4D Einstein–Gauss–Bonnet gravity attributes, providing valuable insights into the formation of wormholes. Additionally, we analyze energy conditions and fundamental features of wormhole configurations. The Gauss–Bonnet coupling constant, Υ, is shown to significantly affect the stability of wormhole geometries, especially when the throats are supported by exotic matter. Stability analysis using the Tolman–Oppenheimer–Volkoff equation confirms that these solutions meet equilibrium conditions. Moreover, the deflection angle increases near the throat, where the gravitational field is strongest, and approaches zero at larger distances, indicating minimal light bending in weaker gravitational fields.
Energy condition , Exact solution , Gauss–Bonnet coupling constant , Wormhole
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Department of Mathematical and Physical Sciences, College of Arts and Sciences, University of Nizwa, P.O. Box 33, Nizwa 616, Oman
Department of Mathematics, Central University of Haryana, Jant-Pali, Haryana, Mahendergarh, 123029, India
Astrophysics Research Centre, School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Private Bag, X54001, Durban, 4000, South Africa
Center for Theoretical Physics, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan
Department of Physics, Zhejiang Normal University, Jinhua, 321004, China
Research Center of Astrophysics and Cosmology, Khazar University, 41 Mehseti Str., Baku, AZ1096, Azerbaijan
Department of General and Theoretical Physics, L.N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Mathematical and Physical Sciences
Department of Mathematics
Astrophysics Research Centre
Center for Theoretical Physics
Department of Physics
Research Center of Astrophysics and Cosmology
Department of General and Theoretical Physics
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