SL 2,C gauge theory of gravitation: Lagrangian approach

S. Malin

doi:10.1007/bf02748629

SL 2,C gauge theory of gravitation: Lagrangian approach

Il Nuovo Cimento B ◽

10.1007/bf02748629 ◽

1978 ◽

Vol 46 (1) ◽

pp. 49-56

Author(s):

S. Malin

Keyword(s):

Gauge Theory ◽

Lagrangian Approach ◽

Theory Of Gravitation

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Poincaré gauge theory of gravitation and its Hamiltonian formulation

Il Nuovo Cimento B ◽

10.1007/bf02721276 ◽

1981 ◽

Vol 62 (2) ◽

pp. 257-272 ◽

Cited By ~ 14

Author(s):

M. Blagojević ◽

I. A. Nikolić ◽

D. S. Popović ◽

Dj Živanović

Keyword(s):

Gauge Theory ◽

Hamiltonian Formulation ◽

Theory Of Gravitation

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DESITTER GAUGE THEORY OF GRAVITATION

International Journal of Modern Physics C ◽

10.1142/s0129183103004188 ◽

2003 ◽

Vol 14 (01) ◽

pp. 41-48 ◽

Cited By ~ 13

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.

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