Wormholes without exotic matter in nonminimal torsion-matter coupling $f(T)$ gravity

Lin, Rui-Hui; Wu, Zhen-Yuan; Zhai, Xiang-Hua

doi:10.48550/arxiv.1906.10323

Cited by 2 publications

(3 citation statements)

References 41 publications

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“…It is also observed that as we increase the value of parameter α, our wormhole solution avoids exotic matter (or avoid violation of WEC and NEC) and provides more appropriate solution of wormhole geometry. Due to the problematic nature of exotic matter, it is suggested to minimize the presence of exotic matter to make it appropriate for travelling [37,40,41]. We observe that exponential function violates the non-existence theorem and supports the wormhole formulation with less amount of exotic matter with the higher values of parameter α.…”

Section: A Anisotropic Fluidmentioning

confidence: 75%

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Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Fayyaz,

Shamir

2020

Preprint

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This paper is devoted to find the feasible shape functions for the construction of static wormhole geometry in the frame work of logarithmic-corrected R 2 gravity model. We discuss the asymptotically flat wormhole solutions sustained by the matter sources with anisotropic pressure, isotropic pressure and barotropic pressure. For anisotropic case, we consider three shape functions and evaluate the null energy conditions and weak energy conditions graphically along with their regions. Moreover, for barotropic and isotropic pressures, we find shape function analytically and discuss its properties. For the formation of traversable wormhole geometries, we cautiously choose the values of parameters involved in f (R) gravity model. We show explicitly that our wormhole solutions violates the non-existence theorem even with logarithmic corrections. We discuss all physical properties via graphical analysis and it is concluded that the wormhole solutions with relativistic formalism can be well justified with logarithmic corrections.

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Section: A Anisotropic Fluidmentioning

confidence: 75%

“…Due to the problematic nature of exotic matter, it is suggested to minimize the presence of exotic matter to make it appropriate for travelling [37,40,41]. In classical GR the wormhole geometry is supported by the presence of exotic matter that violates the NEC and WEC.…”

Section: Introductionmentioning

confidence: 99%

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Fayyaz,

Shamir

2020

Preprint

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“…It was demonstrated that obtained solution satisfies the weak and the null energy conditions at the throat and its vicinity. In this line of direction several solutions have been thoroughly analyzed for wormholes [68][69][70]. It should be stressed that, dynamical wormhole in f (T ) gravity was found in [71].…”

Section: Introductionmentioning

confidence: 99%

Conformally symmetric traversable wormholes in modified teleparallel gravity

et al. 2020

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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 proceed a more systematic approach in searching for exact wormhole solutions. More preciously, the existence of a conformal symmetry places restrictions on the model. Considering the field equations with a diagonal tetrad and anisotropic distribution of the fluid, we study the properties of traversable wormholes in TEGR that violates the weak and the null energy conditions at the throat and its vicinity. In the second part, wormhole solutions are constructed in the framework of f (T ) gravity, where T represents torsion scalar. As a consistency check, we also discuss the behavior of energy conditions with a viable power-law f (T ) model and the corresponding shape functions. In addition, a wide variety of solutions are deduced by considering a linear equation of state relating the density and pressure, for the isotropic and anisotropic pressure, independently of the shape functions, and various phantom wormhole geometries are explored.

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Wormholes without exotic matter in nonminimal torsion-matter coupling $f(T)$ gravity

Cited by 2 publications

References 41 publications

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity

Conformally symmetric traversable wormholes in modified teleparallel gravity

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