Torsion, Scalar Field and f(\mathcal{R}) Gravity
| dc.creator | Mahato, Prasanta | |
| dc.date | 2007-10-20 | |
| dc.date | 2008-02-14 | |
| dc.date.accessioned | 2026-07-07T09:21:04Z | |
| dc.date.available | 2026-07-07T09:21:04Z | |
| dc.description | The role of torsion and a scalar field $ϕ$ in gravitation in the background of a particular class of the Riemann-Cartan geometry is considered here. Some times ago, a Lagrangian density with Lagrange multipliers has been proposed by the author which has been obtained by picking some particular terms from the SO(4,1) Pontryagin density, where the scalar field $ϕ$ causes the de Sitter connection to have the proper dimension of a gauge field. Here it has been shown that the divergence of the axial torsion gives the Newton's constant and the scalar field becomes a function of the Ricci scalar $\mathcal{R}$. The starting Lagrangian then reduces to a Lagrangian representing the metric $f(\mathcal{R})$ gravity theory. | |
| dc.description | 15 pages, no figure | |
| dc.identifier | https://arxiv.org/abs/0710.3821 | |
| dc.identifier | http://arxiv.org/abs/0710.3821 | |
| dc.identifier | Annales de la Fondation Louis de Broglie 32 (2007) 297-310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/154898 | |
| dc.subject | Astrophysics | |
| dc.title | Torsion, Scalar Field and f(\mathcal{R}) Gravity | |
| dc.type | text |