{"title":"Traversable Wormholes and their shadows in 4D Einstein–Gauss–Bonnet Gravity: An analytic description","authors":"Madhukrishna Chakraborty , Subenoy Chakraborty","doi":"10.1016/j.dark.2024.101793","DOIUrl":null,"url":null,"abstract":"<div><div>Einstein–Gauss–Bonnet gravity (EGB) in 4D started its journey in 2020, after a regularization on <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> limit of EGB gravity considering a rescaled GB coupling constant as <span><math><mfrac><mrow><mi>α</mi></mrow><mrow><mrow><mo>(</mo><mi>D</mi><mo>−</mo><mn>4</mn><mo>)</mo></mrow></mrow></mfrac></math></span> and taking the limit <span><math><mrow><mi>D</mi><mo>→</mo><mn>4</mn></mrow></math></span> by Glavan and Lin. As a result, the regularized 4D gravity theory have non trivial gravitational dynamics. The present work is an attempt to obtain solutions of 4D EGB theory in the background of static spherically symmetric space–time and it has been examined whether they correspond to any possible traversable Wormhole (WH). For matter field, isotropic/ anisotropic fluid and various possible equation of state are considered. Embedding diagrams are analyzed and energy conditions are examined for the WH solutions. Finally, feasible WH shadows have been determined in EGB theory.</div></div>","PeriodicalId":48774,"journal":{"name":"Physics of the Dark Universe","volume":"47 ","pages":"Article 101793"},"PeriodicalIF":5.0000,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics of the Dark Universe","FirstCategoryId":"101","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2212686424003765","RegionNum":2,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
Einstein–Gauss–Bonnet gravity (EGB) in 4D started its journey in 2020, after a regularization on limit of EGB gravity considering a rescaled GB coupling constant as and taking the limit by Glavan and Lin. As a result, the regularized 4D gravity theory have non trivial gravitational dynamics. The present work is an attempt to obtain solutions of 4D EGB theory in the background of static spherically symmetric space–time and it has been examined whether they correspond to any possible traversable Wormhole (WH). For matter field, isotropic/ anisotropic fluid and various possible equation of state are considered. Embedding diagrams are analyzed and energy conditions are examined for the WH solutions. Finally, feasible WH shadows have been determined in EGB theory.
期刊介绍:
Physics of the Dark Universe is an innovative online-only journal that offers rapid publication of peer-reviewed, original research articles considered of high scientific impact.
The journal is focused on the understanding of Dark Matter, Dark Energy, Early Universe, gravitational waves and neutrinos, covering all theoretical, experimental and phenomenological aspects.