M�ller's tetrad theory of gravitation as a special case of Poincar� gauge theory?A coincidence?

1982 ◽  
Vol 14 (6) ◽  
pp. 531-547 ◽  
Author(s):  
Hildegard Meyer
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravitation ◽  
Special Case ◽  
Tetrad Theory

Poincaré gauge theory of gravitation and its Hamiltonian formulation

1981 ◽  
Vol 62 (2) ◽  
pp. 257-272 ◽  
Author(s):  
M. Blagojević ◽  
I. A. Nikolić ◽  
D. S. Popović ◽  
Dj Živanović
Keyword(s):  
Gauge Theory ◽  
Hamiltonian Formulation ◽  
Theory Of Gravitation

DESITTER GAUGE THEORY OF GRAVITATION

2003 ◽  
Vol 14 (01) ◽  
pp. 41-48 ◽  
Author(s):  
G. ZET ◽  
V. MANTA ◽  
S. BABETI
Keyword(s):  
Gauge Theory ◽  
Riemann Tensor ◽  
Space Time ◽  
Point Of View ◽  
Field Equations ◽  
Minkowski Space Time ◽  
Strength Tensor ◽  
Group A ◽  
Theory Of Gravitation ◽  
Tensor Formula

A deSitter gauge theory of gravitation over a spherical symmetric Minkowski space–time is developed. The "passive" point of view is adapted, i.e., the space–time coordinates are not affected by group transformations; only the fields change under the action of the symmetry group. A particular ansatz for the gauge fields is chosen and the components of the strength tensor are computed. An analytical solution of Schwarzschild–deSitter type is obtained in the case of null torsion. It is concluded that the deSitter group can be considered as a "passive" gauge symmetry for gravitation. Because of their complexity, all the calculations, inclusive of the integration of the field equations, are performed using an analytical program conceived in GRTensorII for MapleV. The program allows one to compute (without using a metric) the strength tensor [Formula: see text], Riemann tensor [Formula: see text], Ricci tensor [Formula: see text], curvature scalar [Formula: see text], field equations, and the integration of these equations.

Restrictions on gauge theory of gravitation

1976 ◽  
Vol 65 (5) ◽  
pp. 437-440 ◽  
Author(s):  
Kenji Hayashi
Keyword(s):  
Gauge Theory ◽  
Theory Of Gravitation

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 Geometrodynamik

1976 ◽  
Vol 31 (10) ◽  
pp. 1155-1159 ◽  
Author(s):  
F. Vollendorf
Keyword(s):  
Gravitational Field ◽  
Maxwell Field ◽  
Field Equations ◽  
Theory Of Gravitation ◽  
Special Case

Abstract This article is based upon the idea to solve the problem of combining the electromagnetic and the gravitational field by starting from Maxwell's theory. It is shown that the theory of the Maxwell field can be generalized in such a way that Einstein's theory of gravitation becomes a special case of it. Finally we find field equations which refer only to geometric quantities.

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