New Traversable Wormholes Solutions in $f(T)$ Gravity

Abstract

In this paper we search for dynamical traversable wormhole solution in the modified $f(T)$ theory of gravity, $T$ being the torsion scalar. For such wormhole, the time dependence is inserted in the static traversable wormhole metric of Morris and Thore. Two set of tetrads are adopted: the diagonal and the non-diagonal tetrads. The diagonal set of tetrads constrains and reduces $f(T)$ model to teleparallel theory where usual solutions have been found. With diagonal set of tetrads, free from the teleparallel theory constraint, our results show that the existence of traversable wormhole is possible only for non-dynamical spacetime metric, i.e, static traversable wormhole solutions. Moreover we take into account energy condition analysis and the results show that the violation of NEC is not determinant for existence of static traversable wormhole solutions.

arXiv comment12 pages and 6 figures

References in corpus (27)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Wormholes supported by a phantom energy
• Geometric structure of the generic static traversable wormhole throat
• Modified-gravity wormholes without exotic matter
• Possible wormholes in a brane world
• Wormholes supported by hybrid metric-Palatini gravity
• Static Spherically Symmetric Wormholes in $f(R,T)$ Gravity
• Topological Censorship and Higher Genus Black Holes
• Static wormhole solution for higher-dimensional gravity in vacuum
• Evolving Lorentzian Wormholes
• Static and symmetric wormholes respecting energy conditions in Einstein-Gauss-Bonnet gravity
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• Exact solutions for the Einstein-Gauss-Bonnet theory in five dimensions: Black holes, wormholes and spacetime horns
• R=0 spacetimes and self-dual Lorentzian wormholes
• $f(R)$ gravity solutions for evolving wormholes
• On wormholes with arbitrarily small quantities of exotic matter
• Asymptotically Lifshitz wormholes and black holes for Lovelock gravity in vacuum
• Self-similar cosmological solutions with dark energy. II: black holes, naked singularities and wormholes
• How much negative energy does a wormhole need?
• Vacuum solutions with nontrivial boundaries for the Einstein-Gauss-Bonnet theory
• Traversable wormholes: minimum violation of null energy condition revisited
• The traversable wormhole with classical scalar fields
• Self-similar cosmological solutions with dark energy. I: formulation and asymptotic analysis
• Impact of curvature divergences on physical observers in a wormhole space-time with horizons
• Study of Static Wormhole Solutions in $F(T,T_{\mathcal{G}})$ Gravity

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• Traversable wormhole models in $f(R)$ gravity
• On possible wormhole solutions supported by non-commutative geometry within $f(R,L_m)$ gravity
• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Nonlinear evolution of anisotropic matter configurations under higher-order curvature corrections