Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2011-12-26
Gravitation \& Cosmology, Vol.11 (2005), No.4 (44), pp.313-314
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
2 pages, Proceedings of the 12th Russian Gravitational Conference, Kazan, 20-36 June 2005
Scientific paper
A new exact static interior solution of the Einstein equations is obtained for a gravitating ball filled with a Pascal perfect fluid . The solution is an extension of the well-known interior solution with a parabolic distribution of mass density and describes more compact astrophysical objects such as neutron and hyperon stars. It is shown that a behaviour of the new mass density distribution near the stellar centre can be described as a cusp catastrophe.
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