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Shear-free spherically symmetric solutions with conformal symmetry

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Abstract

Dyer, McVittie and Oattes (1987) presented the field equations for shearfree perfect fluid spacetimes which are spherically symmetric and admit a conformal symmetry. Two special solutions of these equations are found. Furthermore, in the general case, one field equation is solved in terms of a Painlevé transcendent, while the remaining equation is reduced to an Emden-Fowler equation.

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References

  1. Maartens, R., and Maharaj, M. S. (1990).J. Math. Phys.,31, 151.

    Google Scholar 

  2. Herrera, L., and Ponce de Leon, J. (1985).J. Math. Phys.,26, 778, 2018, 2847.

    Google Scholar 

  3. Dyer, C. C., McVittie, G. C., and Oattes, L. M. (1987).Gen. Rel. Grav.,19, 887.

    Google Scholar 

  4. Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations (Cambridge University Press, Cambridge)

    Google Scholar 

  5. McVittie, G. C. (1933).Mon. Not. Roy. Astr. Soc.,93, 325; (1967).Ann. Inst. Henri Poincaré,6, 1; (1984).Ann. Inst. Henri Poincaré,40, 235.

    Google Scholar 

  6. Kamke, E. (1971).Differentialgleichungen Lösungsmethoden und Lösungen: Band 1, Gewöhnliche Differentialgleichungen, (3rd. ed., Chelsea Publishing, New York).

    Google Scholar 

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Natal, King George V Avenue, 4001, Durban, South Africa

    S. D. Maharaj & P. G. L. Leach

  2. Centre for Nonlinear Studies and Department of Computational and Applied Mathematics, University of the Witwatersrand, P.O. Wits 2050, Johannesburg, South Africa

    R. Maartens

Authors
  1. S. D. Maharaj
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  2. P. G. L. Leach
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  3. R. Maartens
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Maharaj, S.D., Leach, P.G.L. & Maartens, R. Shear-free spherically symmetric solutions with conformal symmetry. Gen Relat Gravit 23, 261–267 (1991). https://doi.org/10.1007/BF00762289

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  • DOI: https://doi.org/10.1007/BF00762289

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