Lagrangian Theory of Constrained Systems: Cosmological Application
| dc.creator | Esposito, Giampiero | |
| dc.creator | Gionti, Gabriele | |
| dc.creator | Marmo, Giuseppe | |
| dc.creator | Stornaiolo, Cosimo | |
| dc.date | 1995-06-29 | |
| dc.date.accessioned | 2026-07-07T12:01:22Z | |
| dc.date.available | 2026-07-07T12:01:22Z | |
| dc.description | Previous work in the literature has studied the Hamiltonian structure of an R-squared model of gravity with torsion in a closed Friedmann-Robertson-Walker universe. Within the framework of Dirac's theory, torsion is found to lead to a second-class primary constraint linear in the momenta and a second-class secondary constraint quadratic in the momenta. This paper studies in detail the same problem at a Lagrangian level, i.e. working on the tangent bundle rather than on phase space. The corresponding analysis is motivated by a more general program, aiming to obtain a manifestly covariant, multisymplectic framework for the analysis of relativistic theories of gravitation regarded as constrained systems. After an application of the Gotay-Nester Lagrangian analysis, the paper deals with the generalized method, which has the advantage of being applicable to any system of differential equations in implicit form. Multiplication of the second-order Lagrange equations by a vector with zero eigenvalue for the Hessian matrix yields the so-called first-generation constraints. Remarkably, in the cosmological model here considered, if Lagrange equations are studied using second-order formalism, a second-generation constraint is found which is absent in first-order formalism. This happens since first- and second-order formalisms are inequivalent. There are, however, no {\it a priori} reasons for arguing that one of the two is incorrect. First- and second-generation constraints are used to derive physical predictions for the cosmological model. | |
| dc.description | 22 pages, plain-tex, recently appearing in Nuovo Cimento B, volume 109, pages 1259-1273, December 1994 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9506075 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9506075 | |
| dc.identifier | NuovoCim.B109:1259-1274,1994 | |
| dc.identifier | doi:10.1007/BF02722837 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/207073 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Lagrangian Theory of Constrained Systems: Cosmological Application | |
| dc.type | text |