From conformal Killing vector fields to boost-rotational symmetry
Fuente:
Redalyc
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Artículo científico |
| Langue: | en |
| Publié: |
Sociedad Mexicana de Física A.C.
2007
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1876481751376723968 |
|---|---|
| author | J. Estevez-Delgado |
| author_facet | J. Estevez-Delgado |
| contents | From conformal Killing vector fields to boost-rotational symmetry J. Estevez-Delgado T. Zannias Física, Astronomía y Matemáticas General relativity Einstein equations conformal Killing vector field We discuss a connection between three-dimensional Riemannian manifolds (§; °) admitting a special conformal Killing vector field »and static vacuum or non-vacuum spacetimes. Any such (§; °) generates a vacuum spacetime (M; g) but it also generates a spacetime(M; g; ©), where (g; ©) satisfies the Einstein-Klein-Gordon massless minimally coupled gravity equations, or the Einstein-Conformal scalarfield equations. The resulting spacetimes either admit four Killing vector fields or possess boost and rotational symmetry. We argue that thisconnection goes beyond the vacuum or Einstein-scalar field system and it should be viewed as a mechanism of generating solutions for theEinstein equations, admitting a hypersurface orthogonal Killing vector field. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066206 https://www.redalyc.org/journal/570/57066206/ https://www.redalyc.org/journal/570/57066206/html/ https://www.redalyc.org/journal/570/57066206/57066206.epub https://www.redalyc.org/journal/570/57066206/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| format | Artículo científico |
| id | redalyc_57066206 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | From conformal Killing vector fields to boost-rotational symmetry J. Estevez-Delgado Física, Astronomía y Matemáticas General relativity Einstein equations conformal Killing vector field From conformal Killing vector fields to boost-rotational symmetry J. Estevez-Delgado T. Zannias Física, Astronomía y Matemáticas General relativity Einstein equations conformal Killing vector field We discuss a connection between three-dimensional Riemannian manifolds (§; °) admitting a special conformal Killing vector field »and static vacuum or non-vacuum spacetimes. Any such (§; °) generates a vacuum spacetime (M; g) but it also generates a spacetime(M; g; ©), where (g; ©) satisfies the Einstein-Klein-Gordon massless minimally coupled gravity equations, or the Einstein-Conformal scalarfield equations. The resulting spacetimes either admit four Killing vector fields or possess boost and rotational symmetry. We argue that thisconnection goes beyond the vacuum or Einstein-scalar field system and it should be viewed as a mechanism of generating solutions for theEinstein equations, admitting a hypersurface orthogonal Killing vector field. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57066206 https://www.redalyc.org/journal/570/57066206/ https://www.redalyc.org/journal/570/57066206/html/ https://www.redalyc.org/journal/570/57066206/57066206.epub https://www.redalyc.org/journal/570/57066206/movil en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| title | From conformal Killing vector fields to boost-rotational symmetry |
| topic | Física, Astronomía y Matemáticas General relativity Einstein equations conformal Killing vector field |
| url | https://www.redalyc.org/articulo.oa?id=57066206 https://www.redalyc.org/journal/570/57066206/ https://www.redalyc.org/journal/570/57066206/html/ https://www.redalyc.org/journal/570/57066206/57066206.epub https://www.redalyc.org/journal/570/57066206/movil |