New anisotropic models from isotropic solutions

Details New anisotropic models from isotropic solutions New anisotropic models from isotropic solutions

2005-10-16

arxiv.org/abs/gr-qc/0510073v1

Math.Methods Appl.Sci. 29 (2006) 67-83

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, To appear in Math. Meth. Appl. Sci

Scientific paper

10.1002/mma.665

We establish an algorithm that produces a new solution to the Einstein field equations, with an anisotropic matter distribution, from a given seed isotropic solution. The new solution is expressed in terms of integrals of known functions, and the integration can be completed in principle. The applicability of this technique is demonstrated by generating anisotropic isothermal spheres and anisotropic constant density Schwarzschild spheres. Both of these solutions are expressed in closed form in terms of elementary functions, and this facilitates physical analysis.

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