共查询到20条相似文献,搜索用时 10 毫秒
1.
José W. Maluf 《General Relativity and Gravitation》1996,28(11):1361-1376
In the teleparallel equivalent of general relativity the integral form of the Hamiltonian constraint contains explicitly theadm energy in the case of asymptotically flat space-times. We show that such expression of the constraint leads to a natural and straightforward construction of a Schrödinger equation for time-dependent physical states. The quantized Hamiltonian constraint is thus written as an energy eigenvalue equation. We further analyse the constraint equations in the case of a space-time endowed with a spherically symmetric geometry. We find the general functional form of the time-dependent solutions of the quantized Hamiltonian and vector constraints. 相似文献
2.
G.G.L. Nashed 《The European Physical Journal C - Particles and Fields》2007,51(2):377-383
Using a non-linear version of electrodynamics coupled to the teleparallel equivalent of general relativity (TEGR), we obtain
new regular exact solutions. The non-linear theory reduces to the Maxwell one in the weak limit with the tetrad fields corresponding
to a charged space-time. We then apply the energy-momentum tensor of the gravitational field, established in the Hamiltonian
structure of the TEGR, to the solutions obtained. 相似文献
3.
Spherically symmetric solution in higher-dimensional teleparallel equivalent of general relativity
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Gamal G.L.Nashed 《中国物理 B》2013,22(2):20401-020401
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. 相似文献
4.
Cosmological application on five-dimensional teleparallel theory equivalent to general relativity
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Gamal G.L.Nashed 《中国物理 B》2012,21(10):100401-100401
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. 相似文献
5.
Gravitational radiation fields in teleparallel equivalent of general relativity and their energies
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Gamal G.L. Nashed 《中国物理 B》2010,19(11):110506-110506
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. 相似文献
6.
G.G.L. Nashed 《The European Physical Journal C - Particles and Fields》2007,49(3):851-857
An exact charged solution with axial symmetry is obtained in the teleparallel equivalent of general relativity. The associated metric has the structure function G(ξ)=1-ξ2-2mAξ3-q2A2ξ4. The fourth order nature of the structure function can make calculations cumbersome. Using a coordinate transformation we get a tetrad whose metric has the structure function in a factorizable form (1-ξ2)(1+r+Aξ)(1+r-Aξ) with r± as the horizons of Reissner–Nordström space-time. This new form has the advantage that its roots are now trivial to write down. Then, we study the singularities of this space-time. Using another coordinate transformation, we obtain a tetrad field. Its associated metric yields the Reissner–Nordström black hole. In calculating the energy content of this tetrad field using the gravitational energy-momentum, we find that the resulting form depends on the radial coordinate! Using the regularized expression of the gravitational energy-momentum in the teleparallel equivalent of general relativity we get a consistent value for the energy. 相似文献
7.
Andrzej Okołów 《General Relativity and Gravitation》2014,46(1):1-33
We present the first part of an analysis aimed at introducing variables which are suitable for constructing a space of quantum states for the Teleparallel Equivalent of General Relativity via projective techniques—the space is meant to be applied in a canonical quantization of the theory. We show that natural configuration variables on the phase space of the theory can be used to construct a space of quantum states which however possesses an undesired property. We introduce then a family of new variables such that some elements of the family can be applied to build a space of quantum states free of that property. 相似文献
8.
Gravitational collapse with standard and dark energy in the teleparallel equivalent of general relativity
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Gamal G.L.Nashed 《中国物理 B》2012,21(6):60401-060401
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 flat 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. 相似文献
9.
G.G.L. Nashed 《The European Physical Journal C - Particles and Fields》2008,54(2):291-302
We apply the energy-momentum tensor to calculate energy, momentum and angular-momentum of two different tetrad fields. This
tensor is coordinate independent of the gravitational field established in the Hamiltonian structure of the teleparallel equivalent
of general relativity (TEGR). The spacetime of these tetrad fields is the charged dilaton. Our results show that the energy
associated with one of these tetrad fields is consistent, while the other one does not show this consistency. Therefore, we
use the regularized expression of the gravitational energy-momentum tensor of the TEGR. We investigate the energy within the
external event horizon using the definition of the gravitational energy-momentum.
PACS 04.70.Bw; 04.50.+h; 04.20.-Jb 相似文献
10.
Five-dimensional teleparallel theory equivalent to general relativity, the axially symmetric solution, energy and spatial momentum
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Gamal G.L. Nashed 《中国物理 B》2011,20(11):110402-110402
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. 相似文献
11.
Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity
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Gamal G.L.Nashed 《中国物理 B》2012,(3):85-91
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-Nordstrm black hole.We also calculate the spatial momentum and angular momentum. 相似文献
12.
Energy, momentum and angular momentum in the dyadosphere of a charged spacetime in teleparallel equivalent of general relativity
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Gamal G.L. Nashed 《中国物理 B》2012,21(3):30401-030401
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-Nordström black hole. We also calculate the spatial momentum and angular momentum. 相似文献
13.
Vladimir S. Matveev 《Journal of Geometry and Physics》2012,62(3):675-691
We discuss whether it is possible to reconstruct a metric from its nonparameterized geodesics, and how to do it effectively. We explain why this problem is interesting for general relativity. We show how to understand whether all curves from a sufficiently big family are nonparameterized geodesics of a certain affine connection, and how to reconstruct algorithmically a generic 4-dimensional metric from its nonparameterized geodesics. The algorithm works most effectively if the metric is Ricci-flat. We also prove that almost every metric does not allow nontrivial geodesic equivalence, and construct all pairs of 4-dimensional geodesically equivalent metrics of Lorentz signature. 相似文献
14.
Ilija Lukačević 《General Relativity and Gravitation》1990,22(7):721-734
Space-times conformal to physical space-time are considered, assuming the nongravitational energy is conservative after the conformal transformation. Necessary and sufficient conditions satisfied by the conformal factor axe found for a given type of transformation of the energy tensor. The weak gravitational field is defined and the coordinate conditions for the existence of conformal factors in such a field are obtained. 相似文献
15.
Brane world black holes in teleparallel theory equivalent to general relativity and their Killing vectors, energy, momentum and angular momentum
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Gamal G.L. Nashed 《中国物理 B》2010,19(2):20401-020401
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. 相似文献
16.
Yu. ya. Kolbovskii 《Russian Physics Journal》1974,17(1):22-24
We obtain and investigate relationships between the optical scalars (expansion, rotation, shear) of isotropic congruences in conformally related spaces. 相似文献
17.
E. Sheldon 《Contemporary Physics》2013,54(6):449-452
New developments in our understanding of the electron-atom collision process have been made possible by combining the use of highly monochromatic electron beams and intense CO2 lasers. This paper reviews such experiments and discusses possible future progress in what is a new field in atomic collision physics. 相似文献
18.
Jack Cohn 《General Relativity and Gravitation》1975,6(2):143-150
The view is taken that the field equations of General Relativity, without a definition of congruence of length and time intervals at different events, are without physical content. The possibility is explored that the customary Einstein field equations are to be used but with a different congruence definition than is customary. When these resulting equations are, in turn, expressed with the customary congruence, they comprise a new set of field equations physically not equivalent to either Einstein's or Brans-Dicke's formulations of general relativity. Similarities with Einstein's and Brans-Dicke's formulations are discussed, and the possibility of experimental confirmation of these new equations is also briefly considered. 相似文献
19.
N. T. Bishop 《General Relativity and Gravitation》1982,14(1):31-36
It is shown that the field equations of general relativity never afford a minimum or maximum-not even locally-to the action integralI. Solutions of the field equations always represent a stationary value ofI. 相似文献
20.
W. B. Bonnor 《General Relativity and Gravitation》2007,39(3):257-265
The two exterior solutions for a charged line-mass are examined. In both cases the mass per unit length is negative. 相似文献