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
1983 ◽  
Vol 74 (1) ◽  
pp. 93-111 ◽  
Author(s):  
T. Fukuyama ◽  
K. Kamimura

1983 ◽  
Vol 74 (1) ◽  
pp. 83-92 ◽  
Author(s):  
R. de Azeredo Campos ◽  
C. G. Oliveira

2003 ◽  
Vol 14 (01) ◽  
pp. 41-48 ◽  
Author(s):  
G. ZET ◽  
V. MANTA ◽  
S. BABETI

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.


1976 ◽  
Vol 65 (5) ◽  
pp. 437-440 ◽  
Author(s):  
Kenji Hayashi

1993 ◽  
Vol 08 (37) ◽  
pp. 3497-3505
Author(s):  
YONG-WAN KIM ◽  
YOUNG-JAI PARK ◽  
KEE YONG KIM ◽  
YONGDUK KIM ◽  
WON-TAE KIM

We analyze the minimal chiral Schwinger model with the Wess-Zumino action in the Hamiltonian formulation and show that Mitra’s “Faddeevian regularization” originates in the matter gauge-fixed model in the case of a regularization ambiguity with a=2. Furthermore, we obtain the generalized model which satisfies the Faddeevian regularization for a≥1.


1982 ◽  
Vol 14 (9) ◽  
pp. 729-742 ◽  
Author(s):  
Takeshi Fukuyama

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