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Nonlinear electrodynamics coupled to teleparallel theory of gravity 认领 引用 被引量：1
1
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第2期73-82,共10页
Using nonlinear electrodynamics coupled to teleparallel theory of gravity, regular charged spherically symmetric solutions are obtained. The nonlinear theory is reduced to the Maxwell one in the weak limit and the sol... Using nonlinear electrodynamics coupled to teleparallel theory of gravity, regular charged spherically symmetric solutions are obtained. The nonlinear theory is reduced to the Maxwell one in the weak limit and the solutions correspond to charged spacetimes. One of the obtained solutions contains an arbitrary function which we call general solution since we can generate from it the other solutions. The metric associated with these spacetimes is the same, i.e., regular charged static spherically symmetric black hole. In calculating the energy content of the general solution using the gravitational energy momentum within the framework of the teleparallel geometry, we find that the resulting form depends on the arbitrary function. Using the regularized expression of the gravitational energy-momentum we obtain the value of energy. 展开更多
关键词 tetrad theory of gravitation nonlinear electrodynamics spherically symmetric black holes gravitational energy-momentum
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Cosmological application on five-dimensional teleparallel theory equivalent to general relativity 认领 引用 被引量：1
2
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第10期122-129,共8页
A theory of（4＋1）-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel.The fundamental gravitational field variables are the 5-dimensional（5D）... A theory of（4＋1）-dimensional gravity has been developed on the basis of which equivalent to the theory of general relativity by teleparallel.The fundamental gravitational field variables are the 5-dimensional（5D） vector fields（pentad）,defined globally on a manifold M,and gravity is attributed to the torsion.The Lagrangian density is quadratic in the torsion tensor.We then apply the field equations to two different homogenous and isotropic geometric structures which give the same line element,i.e.,FRW in five dimensions.The cosmological parameters are calculated and some cosmological problems are discussed. 展开更多
关键词 5D teleparallel equivalent of general relativity 5D solutions cosmological parameters cosmological problems
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Energy and spatial momentum of charged rotating frames in tetrad gravity 认领 引用 被引量：1
3
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第11期90-101,共12页
We compute the total energy and the spatial momentum of four charged rotating （Kerr-Newman） frames by using the gravitational energy-momentum 3-form within the framework of the tetrad formulation of the general rela... We compute the total energy and the spatial momentum of four charged rotating （Kerr-Newman） frames by using the gravitational energy-momentum 3-form within the framework of the tetrad formulation of the general relativity theory. We show how the effect of the inertial always makes the total energy divergent. We use a natural regularization method, which yields the physical value for the total energy of the system. We show how the regularization method works on a number of different rotating frames that are related to each other by the local Lorentz transformation. We also show that the inertial has no effect on the spatial momentum components. 展开更多
关键词 teleparallel gravity energy-momentum Weitzenbock connection regularization teleparallelism
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Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity 认领 引用 被引量：1
4
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第2期120-127,共8页
A theory of（N＋1）-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity（TEGR）.The fundamental gravitational field variables are the（N＋1）-dimensional vector fields,de... A theory of（N＋1）-dimensional gravity is developed on the basis of the teleparallel equivalent of general relativity（TEGR）.The fundamental gravitational field variables are the（N＋1）-dimensional vector fields,defined globally on a manifold M,and the gravitational field is attributed to the torsion.The form of Lagrangian density is quadratic in torsion tensor.We then give an exact five-dimensional spherically symmetric solution（Schwarzschild（4＋1）-dimensions）.Finally,we calculate energy and spatial momentum using gravitational energy-momentum tensor and superpotential 2-form. 展开更多
关键词 （N＋1）-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and momentum
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Energy,momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity 认领 引用
5
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第3期85-91,共7页
We apply the energy momentum and angular momentum tensor to a tetrad field, with two unknown functions of radial coordinate, in the framework of a teleparallel equivalent of general relativity （TEGR）. The definition... We apply the energy momentum and angular momentum tensor to a tetrad field, with two unknown functions of radial coordinate, in the framework of a teleparallel equivalent of general relativity （TEGR）. The definition of the gravitational energy is used to investigate the energy within the external event horizon of the dyadosphere region for the Reissner-NordstrSm black hole. We also calculate the spatial momentum and angular momentum. 展开更多
关键词 Teleparallel equivalent of general relativity energy-momentum tensor angular momen- tum tensor angular momentum
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Energy and momentum of general spherically symmetric frames on the regularizing teleparallelism 认领 引用
6
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第1期101-109,共9页
In the context of the covariant teleparallel framework, we use the 2-form translational momentum to compute the total energy of two general spherically symmetric frames. The first one is characterized by an arbitrary ... In the context of the covariant teleparallel framework, we use the 2-form translational momentum to compute the total energy of two general spherically symmetric frames. The first one is characterized by an arbitrary function H（r）, which preserves the spherical symmetry and reproduces all the previous solutions, while the other one is characterized by a parameter ξ which ensures the vanishing of the axial of trace of the torsion. We calculate the total energy by using two procedures, i.e., when the WeitzenbSck connection Гα^β is trivial, and show how H（r） and ξ play the role of an inertia that leads the total energy to be unphysical. Therefore, we take into account Гα^β and show that although the spacetimes we use contain an arbitrary function and one parameter, they have no effect on the form of the total energy and momentum as it should be. 展开更多
关键词 gravitation teleparallel gravity energy-momentum conserved currents
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Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors,energy,momentum and angular momentum 认领 引用
7
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS 2010年第2期77-91,共15页
The energy--momentum tensor, which is coordinate-independent, is used to calculate energy, momentum and angular momentum of two different tetrad fields. Although, the two tetrad fields reproduce the same space--time t... The energy--momentum tensor, which is coordinate-independent, is used to calculate energy, momentum and angular momentum of two different tetrad fields. Although, the two tetrad fields reproduce the same space--time their energies are different. Therefore, a regularized expression of the gravitational energy--momentum tensor of the teleparallel equivalent of general relativity （TEGR）, is used to make the energies of the two tetrad fields equal. The definition of the gravitational energy--momentum is used to investigate the energy within the external event horizon. The components of angular momentum associated with these space--times are calculated. In spite of using a static space--time, we get a non-zero component of angular momentum! Therefore, we derive the Killing vectors associated with these space--times using the definition of the Lie derivative of a second rank tensor in the framework of the TEGR to make the picture more clear. 展开更多
关键词 teleparallel equivalent of general relativity brane world black holes gravitational energy--momentum tensor regularized expression of the gravitational energy--momentum
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Inconsistence of Non-Singular Spherically Symmetric Solution and a Satisfactory Energy-Momentum Complex 认领 引用
8
作者 Gamal G.L.Nashed 《Communications in Theoretical Physics》 SCIE CAS 2010年第10期625-629,共5页
Two spherically symmetric non-singular black hole solutions in Moiler tetrad theory of gravitation have been obtained. Although the two solutions have the same form of metric （spherically symmetric nonsingular black ... Two spherically symmetric non-singular black hole solutions in Moiler tetrad theory of gravitation have been obtained. Although the two solutions have the same form of metric （spherically symmetric nonsingular black hole）, their energy contents are different. We use another method given by Gibbons and Hawking to calculate the energy content of these solutions. We also obtained different value of energy. Study the requirements of a satisfactory energymomentum complex given by Moiler we find that the second solution, which behaves as 1/√r, is not transformed as a four-vector under Lorentz transformation. 展开更多
关键词 non-singular black hole solutions energy using Moiler complex energy using Gibbons and Hawking method Lorentz transformatio
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Thermal properties of Lense-Thirring spacetime in tetrad theory of gravity 认领 引用
9
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第8期51-58,共8页
Using the divergence term appearing in the Lagrangian of the teleparallel equivalent of general relativity （TEGR）, we calculate the thermodynamic quantities of four tetrads＇ spacetime reproducing Lense-Thirring （L... Using the divergence term appearing in the Lagrangian of the teleparallel equivalent of general relativity （TEGR）, we calculate the thermodynamic quantities of four tetrads＇ spacetime reproducing Lense-Thirring （LT） metric. We also investigate the first law of thermodynamics and the quantum statistical relation. 展开更多
关键词 Euclidean continuation method thermodynamic quantities first law of thermodynamic,quantum statistical relation
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Five-dimensional teleparallel theory equivalent to general relativity,the axially symmetric solution,energy and spatial momentum 认领 引用
10
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2011年第11期102-109,共8页
A theory of （4＋1）-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields （pe... A theory of （4＋1）-dimensional gravity is developed on the basis of the teleparallel theory equivalent to general relativity. The fundamental gravitational field variables are the five-dimensional vector fields （pentad）, defined globally on a manifold M, and gravity is attributed to the torsion. The Lagrangian density is quadratic in the torsion tensor. We then give the exact five-dimensional solution. The solution is a generalization of the familiar Schwarzschild and Kerr solutions of the four-dimensional teleparallel equivalent of general relativity. We also use the definition of the gravitational energy to calculate the energy and the spatial momentum. 展开更多
关键词 five-dimensional teleparallel equivalent of general relativity five-dimensional solution energy and spatial momentum
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Teleparallel equivalent theory of (1+1)-dimensional gravity 认领 引用
11
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS 2010年第11期124-131,共8页
A theory of （1＋1）-dimensional gravity is constructed on the basis of the teleparallel equivalent of general relativity. The fundamental field variables are the tetrad fields ei^μ and the gravity is attributed to t... A theory of （1＋1）-dimensional gravity is constructed on the basis of the teleparallel equivalent of general relativity. The fundamental field variables are the tetrad fields ei^μ and the gravity is attributed to the torsion. A dilatonic spherically symmetric exact solution of the gravitational field equations characterized by two parameters M and Q is derived. The energy associated with this solution is calculated using the two-dimensional gravitational energy- momentum formula. 展开更多
关键词 teleparallel equivalent theory of （1＋1）-dimensional gravity two-dimensional spherically symmetric dilatonic black hole energy
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Spherically Symmetric Solutions on a Non-Trivial Frame in f(T) Theories of Gravity 认领 引用 被引量：1
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作者 Gamal G.L.Nashed 《Chinese Physics Letters》 SCIE EI CAS CSCD 2012年第5期37-40,共4页
A new solution with constant torsion is derived using the field equations of f(T).Asymptotic forms of energy density,radial and transversal pressures are shown to meet the standard energy conditions,i.e.,weak and '... A new solution with constant torsion is derived using the field equations of f(T).Asymptotic forms of energy density,radial and transversal pressures are shown to meet the standard energy conditions,i.e.,weak and 'null' energy conditions according to some restrictions on T0,f(T0) and fT(T0). Other solutions are obtained for vanishing radial pressure and for specific choices of f(T).The physics relevant to the resulting models is discussed. 展开更多
关键词 radial torsion vanishing
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Gravitational collapse with standard and dark energy in the teleparallel equivalent of general relativity 认领 引用
13
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS CSCD 2012年第6期57-62,共6页
A perfect fluid with self-similarity of the second kind is studied within the framework of the teleparallel equivalent of general relativity （TEGR）. A spacetime which is not asymptotically fiat is derived. The energ... A perfect fluid with self-similarity of the second kind is studied within the framework of the teleparallel equivalent of general relativity （TEGR）. A spacetime which is not asymptotically fiat is derived. The energy conditions of this spacetime are studied. It is shown that after some time the strong energy condition is not enough to satisfy showing a transition from standard matter to dark energy. The singularities of this solution are discussed. 展开更多
关键词 perfect fluid with self-similarity of second kind teleparallel equivalent of general relativ-ity asymptotically nonflat spacetime energy conditions
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Gravitational radiation fields in teleparallel equivalent of general relativity and their energies 认领 引用
14
作者 Gamal G.L.Nashed 《Chinese Physics B》 SCIE EI CAS 2010年第11期132-139,共8页
We derive two new retarded solutions in the teleparallel theory equivalent to general relativity （TEGR）. One of these solutions gives a divergent energy. Therefore, we use the regularized expression of the gravitati... We derive two new retarded solutions in the teleparallel theory equivalent to general relativity （TEGR）. One of these solutions gives a divergent energy. Therefore, we use the regularized expression of the gravitational energymomentum tensor, which is a coordinate dependent. A detailed analysis of the loss of the mass of Bondi space-time is carried out using the flux of the gravitational energy-momentum. 展开更多
关键词 teleparallel equivalent of general relativity energy-momentum tensor Bondi mass gravitational radiation
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