Singularity formation in general relativistic dynamics of homogeneous scalar fields |
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Authors: | Roberto Giambò ,Andrea Stimilli |
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Affiliation: | Dipartimento di Matematica e Informatica, Università di Camerino, Italy |
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Abstract: | Collapsing dynamics of a wide class of self-interacting, self-gravitating homogeneous scalar field models is analyzed. The assumptions made on the potential satisfy some general conditions allowing to show that the generic evolution is divergent in a finite time. Combining results shown here with the ones from [R. Giambó, F. Giannoni, G. Magli, J. Math. Phys. 49 (2008) 042504], dealing with sub-exponential growing potentials, allows us to obtain the same results of singularity formation for more general potentials. Moreover it turns out that these models can be completed to find radiating collapsing star models of the Vaidya type, where blackholes are generically formed. |
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Keywords: | 83C75 83F05 |
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