Positive energy theorem implies constraints on static steller models

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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7 pages, final version accepted for publication in Prog. Theore. Phys

Scientific paper

10.1143/PTP.116.1159

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.

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