Astronomical School’s Report, 2000, Volume 1, Issue 2, Pages 38–41

https://doi.org/10.18372/2411-6602.01.2038
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UDC 530.12:531.51

Spheres of anisotropic fluid in general relativity

Burlikov V.V.

Ukrayins’kyy derzhavnyy khimiko-tekhnolohichnyy universytet

Abstract

The class of new exact solutions for non-static spherically symmetric configurations of anisotropic fluid is derived and investigated. It is assumed that the mass function vanishes at center and the energy density is uniform. The matching of the obtained solutions to the empty space is studied.

Keywords:

References

  1. Burlikov V.V., Korkina M.P. Odnorodnye sfericheskie konfiguratsii peremennoy prostranstvennoy krivizny, Izv. vuzov. Fizika, Vol. 41, 1998, Iss. 3, P. 12–17.
  2. Cosenza M., Herrera L., Esculpi M. and Witten L. Evolution of radiating anisotropic spheres in general relativity, Phys. Rev. D – v. 25, 1982, Iss. 10, pp.2527 – 2535. https://doi.org/10.1103/physrevd.25.2527
  3. Bayin S.S. Anisotropic fluid spheres in general relativity, Phys. Rev. D – v. 26, 1982, Iss. 6, pp.1262 – 1274. https://doi.org/10.1103/physrevd.26.1262
  4. Burlikov V.V. and Korkina M.P. Fluid spheres of uniform density with variable space curvature., Proceedings of the eighth Marcel Grossman meeting on general relativity (in 2 parts), World Scientific. 1999, Vol.1, p.316 – 318.
  5. Glass E.N. Shear – free gravitational collapse, J. Math. Phys, v.20, 1979, Iss. 7, pp.1508 – 1513. https://doi.org/10.1063/1.524210
  6. Herrera L. and Ponce de León J. Anisotropic spheres admitting a one – parameter group of conformal motions, J. Math. Phys, v.26, 1985, Iss.8, pp.2018 – 2023. https://doi.org/10.1063/1.526872
  7. Letelier P.S. Anisotropic fluids with two-perfect-fluid components, Phys. Rev. D – v.22, 1980, Iss. 44, pp.807 – 813. https://doi.org/10.1103/physrevd.22.807
  8. Misner C.W. and Sharp D.H. Relativistic equations for adiabatic, spherically symmetric gravitational collapse, Phys. Rev, v.136, 1964, Iss. 2B, pp.B571 – B576. https://doi.org/10.1103/physrev.136.b571
  9. Ponce de León J. Fluid spheres of uniform density in general relativity, J.Math.Phys, v. 27, 1986, Iss. 1, pp.271 – 276. https://doi.org/10.1063/1.527373
  10. Ponce de León J. Weil curvature tensor in static spherical sources, Phys. Rev. D – v.37, 1988, Iss.2, pp.309 – 317. https://doi.org/10.1103/physrevd.37.309

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