Singularity theorems and the [General Relativity + additional matter fields] formulation of metric theories of gravitation |
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Authors: | Haydeh Sirousse Zia |
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Institution: | (1) Laboratoire de Gravitation et Cosmologie Relativistes, CNRS/URA 769, Université Pierre et Marie Curie, Tour 22-12, BoÎte 142, 4 place Jussieu, F-75252 Paris Cedex 05, France |
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Abstract: | By using the General Relativity + additional matter fields] formulation (which depends on a redefined metrich
) of metric theories of gravitation, the study of singularities characterized by incomplete nonspacelike geodesics is simplified, but may be used only if (at least) the non-spacelike geodesics of the original metricg
are conserved under the transformation betweeng
and the new metrich
. In order that every class of geodesies of a diagonal Bianchi I metric correspond to the same class of geodesies of a diagonal metrich
, it is necessary that the transformation between these two metrics be a constant (positive) conformal transformation. We analyse the implications of the previous results for the singularitiesg
when the latter is a solution of theories with a quadratic or polynomial Lagrangian. |
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Keywords: | |
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