Higher dimensional gravity and Farkas property in oriented matroid theory
Higher dimensional gravity and Farkas property in oriented matroid theory
| dc.contributor | es-ES | |
| dc.contributor | en-US | |
| dc.creator | Nieto, J. A. | |
| dc.date | 2012-05-09 | |
| dc.date.accessioned | 2018-03-16T15:49:04Z | |
| dc.date.available | 2018-03-16T15:49:04Z | |
| dc.identifier | http://ojs.unam.mx/index.php/rmf/article/view/31831 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1202716 | |
| dc.description | We assume gravity in a d-dimensional manifold M and consider a splitting of the form M = Mp × Mq, with d = p + q. The most general two-block metric associated with Mp and Mq is used to derive the corresponding Einstein-Hilbert action S. We focus on the special case of two distinct conformal factors ψ and φ (ψ for the metric in Mp and φ for the metric in Mq), and we write the action S in the form S = Sp+Sq, where Sp and Sq are actions associated with Mp and Mq, respectively. We show that a simplified action is obtained precisely when ψ = φ-1. In this case, we find that under the duality transformation φ ↔ φ -1, the action Sp for theMp-space or the action Sq for the Mq-space remain invariant, but not both. This result establishes an analogy between Farkas property in oriented matroid theory and duality in general relativity. Furthermore, we argue that our approach can be used in several physical scenarios such as 2t physics and cosmology. | es-ES |
| dc.description | We assume gravity in a d-dimensional manifold M and consider a splitting of the form M = Mp × Mq, with d = p + q. The most general two-block metric associated with Mp and Mq is used to derive the corresponding Einstein-Hilbert action S. We focus on the special case of two distinct conformal factors ψ and φ (ψ for the metric in Mp and φ for the metric in Mq), and we write the action S in the form S = Sp+Sq, where Sp and Sq are actions associated with Mp and Mq, respectively. We show that a simplified action is obtained precisely when ψ = φ-1. In this case, we find that under the duality transformation φ ↔ φ -1, the action Sp for theMp-space or the action Sq for the Mq-space remain invariant, but not both. This result establishes an analogy between Farkas property in oriented matroid theory and duality in general relativity. Furthermore, we argue that our approach can be used in several physical scenarios such as 2t physics and cosmology. | en-US |
| dc.format | application/pdf | |
| dc.language | spa | |
| dc.publisher | Revista Mexicana de Física | es-ES |
| dc.relation | http://ojs.unam.mx/index.php/rmf/article/view/31831/29399 | |
| dc.source | Revista Mexicana de Física; Vol 58, No 002 (2012) | es-ES |
| dc.subject | es-ES | |
| dc.subject | Higher dimensional gravity; gravitational duality; 2t physics | en-US |
| dc.title | Higher dimensional gravity and Farkas property in oriented matroid theory | es-ES |
| dc.title | Higher dimensional gravity and Farkas property in oriented matroid theory | en-US |
| dc.type | Artículos de revistas | |
| dc.type | Artículos de revistas |