Abstract
We have analyzed the effects of a simple wormhole, known as the Ellis–Bronnikov-type wormhole, on a scalar field, where, analytically, we determine solutions of bound states and show that the relativistic energy profile of this scalar field is drastically influenced by the topology of space-time characterized by the presence of a global monopole. Before this analysis, we investigated the effects of this background on the deflection of light, which is influenced by the parameters associated with the wormhole throat and the topological defect.
Highlights
The pionic atom [18], in the exact solutions of the Klein– Gordon equation with presence of a dyon, magnetic flux and scalar potential [19], in exact solutions of scalar bosons with the Aharonov–Bohm effect and the Coulomb potential [20,21,22] and on the Dirac and Klein–Gordon oscillators [23]
In the General Theory of Relativity (GTR), null convergence condition (NCC) is used to demonstrate the attractive character of gravitational fields generated by conventional sources of matter; as in the the wormhole case it is violated in the throat, this implies that to support worm
The structure of this paper is as follows: in Sect. (2) we have shown that the topological charge presence in an Ellis– Bronnikov-type wormhole increases the angular deflection of the light in relation to the classic case without topological charge; in Sect. (2) we investigate a scalar field immersed in an Ellis–Bronnikov-type wormhole, where, in the search for solutions of bound states, we determine the relativistic energy profile of the relativistic quantum system; in Sect. (4) we present our conclusions
Summary
The pionic atom [18], in the exact solutions of the Klein– Gordon equation with presence of a dyon, magnetic flux and scalar potential [19], in exact solutions of scalar bosons with the Aharonov–Bohm effect and the Coulomb potential [20,21,22] and on the Dirac and Klein–Gordon oscillators [23]. In the context of modified gravity, one of us investigated how the energy-momentum tensor associated with the region outside the GM core [6] can give rise to wormhole solutions [24,25]. It is interesting to note that in this context of EiBI the source of matter that supports the wormhole is due to the energy-momentum tensor referring to the region outside the GM core and, it does not violate the energy conditions, even though it violates the CCN, as is expected [44].
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
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 callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
