Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-03-20
Gen.Rel.Grav.41:1835-1851,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
20 pages, 1 figure, references and some comments added, typos corrected, in press GRG
Scientific paper
10.1007/s10714-008-0755-9
We have constructed star models consisting of four parts: (i) a homogeneous inner core with anisotropic pressure (ii) an infinitesimal thin shell separating the core and the envelope; (iii) an envelope of inhomogeneous density and isotropic pressure; (iv) an infinitesimal thin shell matching the envelope boundary and the exterior Schwarzschild spacetime. We have analyzed all the energy conditions for the core, envelope and the two thin shells. We have found that, in order to have static solutions, at least one of the regions must be constituted by dark energy. The results show that there is no physical reason to have a superior limit for the mass of these objects but for the ratio of mass and radius.
Chan Raymond
da Silva F. A. M.
Villas da Rocha Jaime F.
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