The first theorem states that all flat space-time gravitational theories must have a Lagrangian with a first term that is an homogeneous (degree-1) function of the 4-velocity ui, plus a functional of ηijuiuj. The second theorem states that all gravitational theories, that satisfy the strong equivalence principle have a Lagrangian with a first term gij(x)uiuj plus an irrelevant term. In both cases the theories must issue from a unique variational principle. Therefore, under this condition it is impossible to find a flat space-time theory that satisfies the strong equivalence principle. © 1980 Plenum Publishing Corporation.
Documento: | Artículo |
Título: | Two theorems on flat space-time gravitational theories |
Autor: | Castagnino, M.; Chimento, L. |
Filiación: | Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Universidad Nacional de Buenos Aires, Pabellón 1, Ciudad Universitaria, Buenos Aires, Argentina |
Año: | 1980 |
Volumen: | 12 |
Número: | 10 |
Página de inicio: | 825 |
Página de fin: | 835 |
DOI: | http://dx.doi.org/10.1007/BF00763058 |
Título revista: | General Relativity and Gravitation |
Título revista abreviado: | Gen Relat Gravit |
ISSN: | 00017701 |
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00017701_v12_n10_p825_Castagnino |