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 ≥ 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.

Geodesics in generalised Ellis–Bronnikov spacetime embedded in warped 5D background

“…In 5D scenario, we also have the effective potential V y (λ) corresponding to the motion along the extra dimension as well. Note that here we only consider m = 2 case as advantages of m > 2 is provided by the warped extra dimension as demonstrated in [91].…”

“…In [91], we demonstrated that a warped GEB (5D-WGEB) model, where a generalized version of Ellis-Bronnikov spacetime is embedded in a 5D warped background, satisfies the energy conditions, even for m = 2. Therefore, in this work also we shall focus mostly on the original E-B geometry embedded in 5D warped background (5D-WEB).…”

Geodesics in Generalised Ellis-Bronnikov Spacetime Embedded in Warped 5D Background

“…In [89], we demonstrated that a warped GEB (5D-WGEB) model, where a generalized version of Ellis-Bronnikov spacetime is embedded in a 5D warped background, satisfies the energy conditions, even for m = 2. Therefore, in this work also we shall focus mostly on the original E-B geometry embedded in 5D warped background (5D-WEB).…”