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A note on exact spherically symmetric interior solutions in higher dimensions

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Il Nuovo Cimento B (1971-1996)

Summary

A method of constructing a new family of solutions for higherdimensional perfect-fluid spheres from a known perfect-fluid solution is presented. We consider perfect-fluid solutions satisfying the equation of statep = kϱ, 0 <k ≤ 1. A new family of higher-dimensional interior solutions is obtained for each value ofk from a Tolman-type higher-dimensional perfect-fluid solution. Also, we present a solution, in higher dimensions, with spheroidal geometry on the hypersurfacest = constant.

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References

  1. Kramer D., Stephani H., Herlt E. andMacCallum M.,Exact Solutions of Einstein’s Field Equations (Cambridge University Press, Cambridge) 1980.

    MATH  Google Scholar 

  2. Green M. B., Schwarz J. H. andWitten E.,Superstring Theory (Cambridge University Press, Cambridge) 1987.

    MATH  Google Scholar 

  3. Green M. andGrass D.,Unified String Theories (World Scientific, Singapore) 1986.

    MATH  Google Scholar 

  4. Yoshimura M.,Phys. Rev. D,34 (1986) 1021.

    Article  MathSciNet  ADS  Google Scholar 

  5. Koikawa T.,Phys. Lett. A,117 (1986) 279.

    Article  MathSciNet  ADS  Google Scholar 

  6. Koikawa T. andYoshimura M.,Prog. Theor. Phys.,75 (1986) 977.

    Article  MathSciNet  ADS  Google Scholar 

  7. Myers R. C. andPerry M. J.,Ann. Phys. (N.Y.),172 (1986) 304.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. Krori K. D., Borgohain P. andDas K.,Phys. Lett. A,132 (1988) 321.

    Article  MathSciNet  ADS  Google Scholar 

  9. Krori K. D., Borgohain P. andDas K.,Can. J. Phys.,67 (1989) 25.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  10. Tikekar R.,J. Indian Math. Soc.,61 (1995) 37.

    MathSciNet  MATH  Google Scholar 

  11. Vaidya P. C. andTikekar R.,J. Astron. Astrophys.,3 (1982) 325.

    Article  ADS  Google Scholar 

  12. Patel L. K.,Mehta N. P. andMaharaj S. D., submitted toGen. Relativ. Gravit (1995).

  13. Tolman R. C.,Phys. Rev.,55 (1939) 365.

    Article  ADS  Google Scholar 

  14. Buchdahl H. A. andLand W. J., Austr. Math, Soc.,8 (1968) 6.

    Article  Google Scholar 

  15. Maharaj S. D. andLeach P. G. L.,J. Math. Phys.,37 (1996) 430.

    Article  MathSciNet  ADS  Google Scholar 

  16. Tikekar R.,J. Math. Phys.,31 (1990) 2454.

    Article  MathSciNet  ADS  MATH  Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Mathematics and Applied Mathematics, University of Natal Private Bag X10, 4014, Dalbridge, South Africa

    S. D. Maharaj & L. K. Patel

  2. Department of Mathematics, Gujarat University, 380009, Ahmedabad, India

    L. K. Patel

Authors
  1. S. D. Maharaj
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  2. L. K. Patel
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Maharaj, S.D., Patel, L.K. A note on exact spherically symmetric interior solutions in higher dimensions. Nuov Cim B 111, 1005–1010 (1996). https://doi.org/10.1007/BF02743296

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  • DOI: https://doi.org/10.1007/BF02743296

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