scholarly journals Traversable Wormholes in the Extended Teleparallel Theory of Gravity with Matter Coupling

2021 ◽  
pp. 2100048
Author(s):  
G. Mustafa ◽  
Mushtaq Ahmad ◽  
Ali Övgün ◽  
M. Farasat Shamir ◽  
Ibrar Hussain
Keyword(s):  
Matter Coupling ◽  
Traversable Wormholes ◽  
Teleparallel Theory ◽  
Theory Of Gravity

Kerr–Newman solution in modified teleparallel theory of gravity

2014 ◽  
Vol 24 (01) ◽  
pp. 1550007 ◽  
Author(s):  
Gamal G. L. Nashed
Keyword(s):  
Azimuthal Angle ◽  
Polar Angle ◽  
Radial Coordinate ◽  
Lorentz Transformations ◽  
Square Root ◽  
Axially Symmetric ◽  
Field Equations ◽  
Tetrad Field ◽  
Teleparallel Theory ◽  
Theory Of Gravity

A nondiagonal tetrad field having six unknown functions plus an angle Φ, which is a function of the radial coordinate r, azimuthal angle θ and the polar angle ϕ, is applied to the charged field equations of modified teleparallel theory of gravity. A special nonvacuum solution is derived with three constants of integration. The tetrad field of this solution is axially symmetric and its scalar torsion is constant. The associated metric of the derived solution gives Kerr–Newman spacetime. We have shown that the derived solution can be described by a local Lorentz transformations plus a diagonal tetrad field that is the square root of the Kerr–Newman metric. We show that any solution of general relativity (GR) can be a solution in f(T) under certain conditions.

scholarly journals New traversable wormhole solutions in f(T) gravity

2019 ◽  
Vol 28 (04) ◽  
pp. 1950065 ◽  
Author(s):  
R. C. Tefo ◽  
P. H. Logbo ◽  
M. J. S. Houndjo ◽  
J. Tossa
Keyword(s):  
Time Dependence ◽  
Energy Condition ◽  
Null Energy Condition ◽  
Traversable Wormhole ◽  
Torsion Scalar ◽  
Teleparallel Theory ◽  
Text Model ◽  
Spacetime Metric ◽  
Theory Of Gravity ◽  
Modified Formula

In this paper, we search for dynamical traversable wormhole solutions in the modified [Formula: see text] theory of gravity, [Formula: see text] being the torsion scalar. For such a wormhole, the time dependence is inserted in the static traversable wormhole metric of Morris and Thorne. Two set of tetrads are adopted: the diagonal and the nondiagonal tetrads. The diagonal set of tetrads constrains and reduces [Formula: see text] 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 nondynamical spacetime metric, i.e. static traversable wormhole solutions. Moreover we take into account energy condition analysis and the results show that the violation of null energy condition is not determinant for existence of static traversable wormhole solutions.

scholarly journals TELEPARALLEL ENERGY–MOMENTUM DISTRIBUTION OF STATIC AXIALLY SYMMETRIC SPACETIMES

2008 ◽  
Vol 23 (37) ◽  
pp. 3167-3177 ◽  
Author(s):  
M. SHARIF ◽  
M. JAMIL AMIR
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Momentum Distribution ◽  
Coupling Constant ◽  
Axially Symmetric ◽  
Symmetric Spacetimes ◽  
Teleparallel Theory ◽  
Theory Of Gravity ◽  
Comparison Of The Results ◽  
Special Case

This paper is devoted to discuss the energy–momentum for static axially symmetric spacetimes in the framework of teleparallel theory of gravity. For this purpose, we use the teleparallel versions of Einstein, Landau–Lifshitz, Bergmann and Möller prescriptions. A comparison of the results shows that the energy density is different but the momentum turns out to be constant in each prescription. This is exactly similar to the results available in literature using the framework of general relativity. It is mentioned here that Möller energy–momentum distribution is independent of the coupling constant λ. Finally, we calculate energy–momentum distribution for the Curzon metric, a special case of the above-mentioned spacetime.

Lorentz distributed wormhole solutions in f(T) gravity with off-diagonal tetrad under conformal motions

2020 ◽  
Vol 35 (29) ◽  
pp. 2050240
Author(s):  
Asifa Ashraf ◽  
G. Mustafa ◽  
Mushtaq Ahmad ◽  
Ibrar Hussain
Keyword(s):  
Positive Integer ◽  
Conformal Symmetry ◽  
Teleparallel Gravity ◽  
Exotic Matter ◽  
Energy Conditions ◽  
Physical Concept ◽  
Conformal Motion ◽  
Teleparallel Theory ◽  
Theory Of Gravity ◽  
The Stability

In this work, the possible existence of wormhole solutions have been investigated in the extended teleparallel [Formula: see text] theory of gravity by incorporating the Lorentzian source of non-commutative geometry through the conformal motion. The physical concept of conformal symmetry becomes more arguable when it is discussed in the background of non-commutative geometry, especially with the Lorentzian source. In this context, two specific different models of the extended teleparallel theory, that is, [Formula: see text], and [Formula: see text] (where [Formula: see text], [Formula: see text], [Formula: see text] being real constants and [Formula: see text] a positive integer) have been studied. The corresponding energy conditions are worked out and are analyzed graphically in the presence of the conformal motion with Lorentzian source. The presence of the exotic matter has been confirmed due to the violation of null energy conditions under some particular conditions, thereby proving the existence of the wormhole geometries in both of the models under investigation. Moreover, the stability of the wormhole geometries via the Tolman-Oppenheimer-Volkov equation has been discussed. It is concluded that these wormhole solutions supported by the non-exotic matter truly exist and are well stable under the extended teleparallel gravity.

Mesonic tilted cosmological model with wet dark fluid in F(T) theory of gravity

2020 ◽  
Vol 98 (7) ◽  
pp. 636-642 ◽  
Author(s):  
V.J. Dagwal
Keyword(s):  
Heat Conduction ◽  
Cosmological Model ◽  
Tilt Angle ◽  
Cosmological Models ◽  
Wet Dark Fluid ◽  
Torsion Scalar ◽  
Dark Fluid ◽  
Tilted Cosmological Model ◽  
Teleparallel Theory ◽  
Theory Of Gravity

This study presents mesonic tilted cosmological models with wet dark fluid in the F(T) theory of gravity, which is an extension of the Teleparallel theory of gravity, where T is the torsion scalar. In this paper, a new idea is introduced about the F(T) theory of gravity with the help of tilt angle, heat conduction, and mesonic wet dark fluid. The cosmological evolution in F(T) models is investigated. The physical and geometrical aspects of the models are also discussed.

scholarly journals Energy-momentum of the Friedmann models in General Relativity and the teleparallel theory of gravity

2008 ◽  
Vol 86 (11) ◽  
pp. 1297-1302 ◽  
Author(s):  
M Sharif ◽  
M Jamil Amir
Keyword(s):  
General Relativity ◽  
Energy Density ◽  
Spherical Shell ◽  
Momentum Density ◽  
Friedmann Universe ◽  
Coupling Constant ◽  
Dimensionless Coupling ◽  
Teleparallel Theory ◽  
Theory Of Gravity ◽  
Dimensionless Coupling Constant

This paper is devoted to the evaluation of the energy-momentum density components for the Friedmann models. For this purpose, we have used Møller’s pseudotensor prescription in General Relativity and a certain energy-momentum density developed from Møller’s teleparallel formulation. We show that the energy density of the closed Friedmann universe vanishes on the spherical shell at the radius ρ = 2[Formula: see text]. This coincides with the earlier results available in the literature. We also discuss the energy of the flat and open models. A comparison shows a partial consistency between Møller’s pseudotensor for General Relativity and teleparallel theory. Further, we show that the results are independent of the free dimensionless coupling constant of the teleparallel gravity.PACS No.: 04.20.–q

Sign in / Sign up

Export Citation Format

Share Document