Positive energy theorem implies constraints on static steller models

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Using the positive energy theorem, we derive some constraints on static steller models in asymptotically flat spacetimes in a general setting without imposing spherical symmetry. We show that there exist no regular solutions under certain conditions on the equation of state. As the contraposition, we obtain some constraints on the pressure and adiabatic index.
7 pages, final version accepted for publication in Prog. Theore. Phys

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/176216

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0609124
 http://arxiv.org/abs/gr-qc/0609124
 Prog.Theor.Phys.116:1159-1164,2007
 doi:10.1143/PTP.116.1159

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