Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-09-27
Prog.Theor.Phys.116:1159-1164,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
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.
Shiromizu Tetsuya
Yoshino Hirotaka
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