Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-02-08
Pramana66:609-614,2006
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
9 pages, to appear in Pramana - J. Phys
Scientific paper
10.1007/BF02704504
Einstein field equations for anisotropic spheres are solved and exact interior solutions obtained. This paper extends earlier treatments to include anisotropic models which accommodate a wider variety of physically viable energy densities. Two classes of solutions are possible. The first class contains the limiting case $\mu\propto r^{-2}$ for the energy density which arises in many astrophysical applications. In the second class the singularity at the center of the star is not present in the energy density. The models presented in this paper allow for increasing and decreasing profiles in the behavior of the energy density.
Chaisi M.
Maharaj Sunil D.
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