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 mge 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.
Highlights
Difficult to be created in macroscopic quantities [5]
We look to investigate whether the spacetime geometry given by Eq (11) may lead to satisfaction of energy conditions or not
After discussing the energy conditions for a generalised Ellis–Bronnikov (GEB) wormhole embedded in a 5D warped braneworld background in detail, we summarise in Table 7,1 the status of the inequalities of the energy conditions, at or near the location of the socalled brane
Summary
It is known for long that there are classical ways as well to circumvent the problem of exotic matter that violates the energy conditions [18,19,20,21] One such way is the framework of large class of the so-called modified theories of gravity. We on the other hand, want to see if the presence of a smooth warping factor can lead to a viable wormhole geometry with energy condition satisfying matter source. This is an yet unexplored feature of these class of models. At the end we conclude with summarising the key results and future plans
Sign-in/Register to view highlights & summary 
Published Version (
Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call