We study a R**2 model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. The model is cast in Hamiltonian form subtracting from the original Lagrangian the total time derivative of f_{K} _{R}, where f_{K} is proportional to the trace of the extrinsic curvature tensor, and f_{R} is obtained differentiating the Lagrangian with respect to the highest derivative. Torsion is found to lead to a primary constraint linear in the momenta and a secondary constraint quadratic in the momenta, and the full field equations are finally worked out in detail. Problems to be studied for further research are the solution of these equations and the quantization of the model. One could then try to study a new class of quantum-cosmological models with torsion.
Hamiltonian structure of a Friedmann-Robertson-Walker universe with torsion / Esposito, G. - In: IL NUOVO CIMENTO DELLA SOCIETÀ ITALIANA DI FISICA. B, GENERAL PHYSICS, RELATIVITY, ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS. - ISSN 1594-9982. - 104B:2(1989), pp. 199-212. [10.1007/bf02906317]
Hamiltonian structure of a Friedmann-Robertson-Walker universe with torsion
ESPOSITO G
1989
Abstract
We study a R**2 model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. The model is cast in Hamiltonian form subtracting from the original Lagrangian the total time derivative of f_{K} _{R}, where f_{K} is proportional to the trace of the extrinsic curvature tensor, and f_{R} is obtained differentiating the Lagrangian with respect to the highest derivative. Torsion is found to lead to a primary constraint linear in the momenta and a secondary constraint quadratic in the momenta, and the full field equations are finally worked out in detail. Problems to be studied for further research are the solution of these equations and the quantization of the model. One could then try to study a new class of quantum-cosmological models with torsion.File | Dimensione | Formato | |
---|---|---|---|
NUCIA,B104,199.pdf
non disponibili
Dimensione
644.36 kB
Formato
Adobe PDF
|
644.36 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.