Space isotropy and weak equivalence principle in a scalar theory of gravity
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| Format: | Artículo científico |
| Language: | en |
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Sociedade Brasileira de Física
2006
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| _version_ | 1876491456154173440 |
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| author | Mayeul Arminjon |
| author_facet | Mayeul Arminjon |
| contents | Space isotropy and weak equivalence principle in a scalar theory of gravity Mayeul Arminjon Física, Astronomía y Matemáticas Space anisotropy Universality of gravitation We consider a preferred-frame bimetric theory in which the scalar gravitational field both influences the metricand has direct dynamical effects. A modified version (v2) is built, by assuming now a locally-isotropic dilationof physically measured distances, as compared with distances evaluated with the Euclidean space metric. Thedynamical equations stay unchanged: they are based on a consistent formulation of Newtons second law ina curved space-time. To obtain a local conservation equation for energy with the new metric, the equationfor the scalar field is modified: now its l.h.s. is the flat wave operator. Fluid dynamics is formulated and theasymptotic scheme of post-Newtonian approximation is adapted to v2. The latter also explains the gravitationaleffects on light rays, as did the former version (v1). The violation of the weak equivalence principle found forgravitationally-active bodies at the point-particle limit, which discarded v1, is proved to not exist in v2. Thusthat violation was indeed due to the anisotropy of the space metric assumed in v1. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436210 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.36 |
| format | Artículo científico |
| id | redalyc_46436210 |
| institution | Redalyc |
| language | en |
| publishDate | 2006 |
| publisher | Sociedade Brasileira de Física |
| spellingShingle | Space isotropy and weak equivalence principle in a scalar theory of gravity Mayeul Arminjon Física, Astronomía y Matemáticas Space anisotropy Universality of gravitation Space isotropy and weak equivalence principle in a scalar theory of gravity Mayeul Arminjon Física, Astronomía y Matemáticas Space anisotropy Universality of gravitation We consider a preferred-frame bimetric theory in which the scalar gravitational field both influences the metricand has direct dynamical effects. A modified version (v2) is built, by assuming now a locally-isotropic dilationof physically measured distances, as compared with distances evaluated with the Euclidean space metric. Thedynamical equations stay unchanged: they are based on a consistent formulation of Newtons second law ina curved space-time. To obtain a local conservation equation for energy with the new metric, the equationfor the scalar field is modified: now its l.h.s. is the flat wave operator. Fluid dynamics is formulated and theasymptotic scheme of post-Newtonian approximation is adapted to v2. The latter also explains the gravitationaleffects on light rays, as did the former version (v1). The violation of the weak equivalence principle found forgravitationally-active bodies at the point-particle limit, which discarded v1, is proved to not exist in v2. Thusthat violation was indeed due to the anisotropy of the space metric assumed in v1. 2006 artículo científico 0103-9733 https://www.redalyc.org/articulo.oa?id=46436210 en http://www.redalyc.org/revista.oa?id=464 Brazilian Journal of Physics application/pdf Sociedade Brasileira de Física Brazilian Journal of Physics (Brasil) Num.1B Vol.36 |
| title | Space isotropy and weak equivalence principle in a scalar theory of gravity |
| topic | Física, Astronomía y Matemáticas Space anisotropy Universality of gravitation |
| url | https://www.redalyc.org/articulo.oa?id=46436210 |