| Revue: | Brazilian journal of physics |
| Base de datos: | PERIÓDICA |
| Número de sistema: | 000389464 |
| ISSN: | 0103-9733 |
| Autores: | Novello, Mario1 Bittencourt, Eduardo2 |
| Instituciones: | 1Instituto de Cosmologia Relatividade e Astrofisica, Rio de Janeiro. Brasil 2Universita di Roma "La Sapienza", Dipartimento de Fisica, Roma, Lazio. Italia |
| Año: | 2015 |
| Periodo: | Dic |
| Volumen: | 45 |
| Número: | 6 |
| Paginación: | 756-805 |
| País: | Brasil |
| Idioma: | Inglés |
| Tipo de documento: | Artículo |
| Enfoque: | Experimental, aplicado |
| Resumen en inglés | We present an overview of recent developments concerning modifications of the geometry of space-time to describe various physical processes of interactions among classical and quantum configurations. We concentrate in two main lines of research: the Metric Relativity and the Dynamical Bridge. We describe the notion of equivalent (dragged) metric gμν which is responsible to map the path of any accelerated body in Minkowski space-time onto a geodesic motion in such associated g geometry. Only recently, the method introduced by Einstein in general relativity was used beyond the domain of gravitational forces to map arbitrary accelerated bodies submitted to non-Newtonian attractions onto geodesics of a modified geometry. This process has its roots in the very ancient idea to treat any dynamical problem in Classical Mechanics as nothing but a problem of static where all forces acting on a body annihilates themselves including the inertial ones. This general procedure, that concerns arbitrary forces—beyond the uses of General Relativity that is limited only to gravitational processes—is nothing but the relativistic version of the d’Alembert method in classical mechanics and consists in the principle of Metric Relativity. The main difference between gravitational interaction and all other forces concerns the universality of gravity which added to the interpretation of the equivalence principle allows all associated geometries—one for each different body in the case of non-gravitational forces—to be unified into a unique Riemannian space-time structure. The same geometrical description appears for electromagnetic waves in the optical limit within the context of nonlinear theories or material medium. Once it is largely discussed in the literature, the so-called analogue models of gravity, we will dedicate few sections on this emphasizing their relation with the new concepts introduced here. Then, we pass to the de |
| Disciplinas: | Física y astronomía, Matemáticas |
| Palabras clave: | Física, Matemáticas aplicadas, Geometría Riemanniana, Teoría clásica de campos, Teoría de campos no lineales, Mecánica cuántica |
| Keyword: | Physics and astronomy, Mathematics, Physics, Applied mathematics, Riemannian geometry, Classical field theory, Nonlinear field theory, Quantum mechanics |
| Texte intégral: | Texto completo (Ver PDF) |
