2020
DOI: 10.1103/physrevd.101.084012
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Conformally symmetric traversable wormholes in modified teleparallel gravity

Abstract: In this paper, we consider wormhole geometries in the context of teleparallel equivalent of general relativity (TEGR) as well as f (T ) gravity. The TEGR is an alternative geometrical formulation of Einstein's general relativity, where modified teleparallel gravity or f (T ) gravity has been invoked as an alternative approach for explaining an accelerated expansion of the universe. We present the analytical solutions under the assumption of spherical symmetry and the existence of a conformal Killing vectors to… Show more

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Cited by 41 publications
(11 citation statements)
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“…However, this difficulty can go away if we frame wormholes within the context of modified gravity, where the existence of additional gravitational corrections, understood as a kind of matter fluid, are able to restore geodesic completeness without unavoidably violating the energy conditions, see e.g. [45][46][47][48][49][50][51][52][53][54].…”
Section: Introductionmentioning
confidence: 99%
“…However, this difficulty can go away if we frame wormholes within the context of modified gravity, where the existence of additional gravitational corrections, understood as a kind of matter fluid, are able to restore geodesic completeness without unavoidably violating the energy conditions, see e.g. [45][46][47][48][49][50][51][52][53][54].…”
Section: Introductionmentioning
confidence: 99%
“…It is noteworthy that the pressure p in ref. [90] has a negative value that is inconsistent with plausible stellar models. Our present model is consistent, as pressure is positive inside the configuration.…”
Section: Discussionmentioning
confidence: 99%
“…For the choice of Pt=mPr and Pr=wρ, the differential equations in ()‐() becomes highly non‐linear and very complicated to solve and analyze these types of systems (see Ref. [35]). Therefore, we consider two different specific shape functions in finding wormhole solutions.…”
Section: Wormhole Models With Non‐linear F(q)mentioning
confidence: 99%