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Anisotropic spheres in general relativity. (English) Zbl 0734.76094

Summary: A prescription originally conceived for perfect fluids is extended to the case of anisotropic pressures. The method is used to obtain exact analytical solutions of the Einstein equations for spherically-symmetric self-gravitating distribution of anisotropic matter. The solutions are matched to the Schwarzschild exterior metric.

MSC:

76Y05 Quantum hydrodynamics and relativistic hydrodynamics
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References:

[1] Bayin, S. S.: 1982,Phys. Rev. D26, 1262. · doi:10.1103/PhysRevD.26.1262
[2] Berger, S., Hojman, R., and Santamarina, J.: 1987,J. Math. Phys. 28, 2949. · Zbl 0634.76131 · doi:10.1063/1.527697
[3] Bowers, R. and Liang, E.: 1974,Astrophys. J. 188, 657. · doi:10.1086/152760
[4] Canuto, V.: 1973,Neutron Stars: General Review, Solvay Conference on Astrophysics and Gravitation, Brussels, Belgium.
[5] Cosenza, M., Herrera, L., Esculpi, M. and Witten, L.: 1981,J. Math. Phys. 22, 118. · Zbl 0483.70003 · doi:10.1063/1.524742
[6] Díaz, M. C. and Hojman, R.: 1990,J. Math. Phys. 31, 140. · Zbl 0706.76142 · doi:10.1063/1.528873
[7] Herrera, L. and Ponce de Leon, J.: 1985,J. Math. Phys. 26, 2018. · doi:10.1063/1.526872
[8] Lemaître, G.: 1933,Ann. Soc. Sci., Bruxelles A53, 97.
[9] Letelier, P. S.: 1980,Phys. Rev D22 807. · doi:10.1103/PhysRevD.22.807
[10] Maharaj, S. D. and Maartens, R.: 1989,Gen Rel. Grav. 21, 899. · doi:10.1007/BF00769863
[11] Patiño, A. and Rago, H.: 1989,Gen. Rel. Grav. 21, 637. · doi:10.1007/BF00760624
[12] Ponce de Leon, J.: 1987,J. Math. Phys. 28, 1114. · Zbl 0651.76052 · doi:10.1063/1.527557
[13] Ruderman, M.: 1972,Ann. Rev. Astron. Astrophys. 10, 427. · doi:10.1146/annurev.aa.10.090172.002235
[14] Tolman, R.: 1939,Phys. Rev. 55 364. · Zbl 0020.28407 · doi:10.1103/PhysRev.55.364
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