Generalised Ellis-Bronnikov wormholes embedded in warped braneworld background and energy conditions

Abstract

Ellis-Bronnikov (EB) wormholes require violation of null energy conditions at the `throat'. This problem was cured by a simple modification of the `shape function', which introduces a new parameter $m\ge 2$ ($m=2$ corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.

19+6 preprint pages

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Cited by in corpus (10)

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• Energy Constraints for Evolving Spherical and Hyperbolic Wormholes in $f(R,T)$ Gravity
• Echoes from bounded universes
• On quantum traversability of wormholes
• Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background
• On the uplift of 4D wormholes in Braneworld models and their 5D structure
• Generalized Ellis-Bronnikov wormhole solution in the scalar-Einstein-Gauss-Bonnet $4d$ gravitational model
• Field Sources for Generalized Ellis-Bronnikov Wormhole
• Embedding Wormholes and Dyonic Black Strings in Warped Braneworlds via Local Sum Rules