Extended translational invariance and the tetrad theory of gravitation

1977 ◽  
Vol 20 (4) ◽  
pp. 538-541
Author(s):  
V. N. Tunyak
Keyword(s):  
Translational Invariance ◽  
Theory Of Gravitation ◽  
Tetrad Theory

scholarly journals REISSNER–NORDSTRÖM SOLUTIONS AND ENERGY IN TELEPARALLEL THEORY

2006 ◽  
Vol 21 (29) ◽  
pp. 2241-2250 ◽  
Author(s):  
GAMAL G. L. NASHED
Keyword(s):  
Spherically Symmetric ◽  
Tetrad Field ◽  
Symmetric Spacetimes ◽  
Time Space ◽  
Teleparallel Theory ◽  
Theory Of Gravitation ◽  
Spherically Symmetric Spacetimes ◽  
Charged Source ◽  
Superpotential Method ◽  
Tetrad Theory

We give three different spherically symmetric spacetimes for the coupled gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. One of these contains an arbitrary function and generates the others. These spacetimes give the Reissner–Nordström metric black hole. We then calculated the energy associated with these spacetimes using the superpotential method. We find that unless the time-space components of the tetrad field go to zero faster than [Formula: see text] at infinity, one gets different results for the energy.

scholarly journals Energy and Momentum in the Tetrad Theory of Gravitation

1997 ◽  
Vol 98 (6) ◽  
pp. 1355-1370 ◽  
Author(s):  
T. Shirafuji ◽  
G. G. L. Nashed
Keyword(s):  
Theory Of Gravitation ◽  
Energy And Momentum ◽  
Tetrad Theory

scholarly journals Energy-momentum complex in M�ller's tetrad theory of gravitation

1993 ◽  
Vol 32 (9) ◽  
pp. 1627-1642 ◽  
Author(s):  
F. I. Mikhail ◽  
M. I. Wanas ◽  
Ahmed Hindawi ◽  
E. I. Lashin
Keyword(s):  
Theory Of Gravitation ◽  
Momentum Complex ◽  
Tetrad Theory

scholarly journals REISSNER–NORDSTRÖM SPACE–TIME IN THE TETRAD THEORY OF GRAVITATION

2007 ◽  
Vol 16 (01) ◽  
pp. 65-79 ◽  
Author(s):  
GAMAL G. L. NASHED ◽  
TAKESHI SHIRAFUJI
Keyword(s):  
Exact Solutions ◽  
Arbitrary Function ◽  
Energy Content ◽  
Analytic Solutions ◽  
Spherically Symmetric ◽  
Theory Of Gravitation ◽  
Momentum Complex ◽  
Charged Source ◽  
Superpotential Method ◽  
Tetrad Theory

We give two classes of spherically symmetric exact solutions of the coupled gravitational and electromagnetic fields with charged source in the tetrad theory of gravitation. The first solution depends on an arbitrary function H(R,t). The second solution depends on a constant parameter η. These solutions reproduce the same metric, i.e. the Reissner–Nordström metric. If the arbitrary function which characterizes the first solution and the arbitrary constant of the second solution are set to be zero, then the two exact solutions will coincide with each other. We then calculate the energy content associated with these analytic solutions using the superpotential method. In particular, we examine whether these solutions meet the condition, which Møller required for a consistent energy–momentum complex, namely, we check whether the total four-momentum of an isolated system behaves as a four-vector under Lorentz transformations. It is then found that the arbitrary function should decrease faster than [Formula: see text] for R → ∞. It is also shown that the second exact solution meets the Møller's condition.

On Mø11er's tetrad theory of gravitation cosmology

1984 ◽  
Vol 16 (5) ◽  
pp. 501-512 ◽  
Author(s):  
D. Saez ◽  
T. De Juan
Keyword(s):  
Theory Of Gravitation ◽  
Tetrad Theory

scholarly journals ENERGY AND ANGULAR MOMENTUM OF GENERAL FOUR-DIMENSIONAL STATIONARY AXI-SYMMETRIC SPACE–TIME IN TELEPARALLEL GEOMETRY

2008 ◽  
Vol 23 (12) ◽  
pp. 1903-1918 ◽  
Author(s):  
GAMAL G. L. NASHED
Keyword(s):  
Angular Momentum ◽  
Symmetric Space ◽  
Electromagnetic Fields ◽  
Momentum Distribution ◽  
Symmetric Solution ◽  
Space Time ◽  
Theory Of Gravitation ◽  
Momentum Complex ◽  
Tetrad Theory

We derive an exact general axi-symmetric solution of the coupled gravitational and electromagnetic fields in the tetrad theory of gravitation. The solution is characterized by four parameters: M (mass), Q (charge), a (rotation) and L (NUT). We then calculate the total exterior energy using the energy–momentum complex given by Møller in the framework of Weitzenböck geometry. We show that the energy contained in a sphere is shared by its interior as well as exterior. We also calculate the components of the spatial momentum to evaluate the angular momentum distribution. We show that the only nonvanishing components of the angular momentum is in the Z direction.

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