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Charged perfect fluids in the presence of a cosmological constant

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Abstract

We consider the static and spherically symmetric field equations of general relativity for charged perfect fluid spheres in the presence of a cosmological constant. Following work by Florides (J Phys A Math Gen 16:1419–1433, 1983) we find new exact solutions of the field equations, and discuss their mass radius ratios. These solutions, for instance, require the charged Nariai metric to be the vacuum part of the spacetime. We also find charged generalizations of the Einstein static universe and speculate that the smallness problem of the cosmological constant might become less problematic if charge is taken into account.

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References

  1. Andreasson H.: Sharp bounds on the critical stability radius for relativistic charged spheres. Commun. Math. Phys. 288, 715–730 (2008)

    Article  MathSciNet  ADS  Google Scholar 

  2. Bailyn M., Eimerl D.: General-relativistic interior metric for a stable static charged matter fluid with large e/m. Phys. Rev. D5, 1897–1907 (1972)

    ADS  Google Scholar 

  3. Bekenstein J.D.: Hydrostatic equilibrium and gravitational collapse of relativistic charged fluid balls. Phys. Rev. D4, 2185–2190 (1971)

    ADS  Google Scholar 

  4. Bertotti B.: Uniform electromagnetic field in the theory of general relativity. Phys. Rev. 116, 1331–1333 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  5. Böhmer, C.G.: General Relativistic Static Fluid Solutions With Cosmological Constant. Unpublished Diploma thesis (2002)

  6. Böhmer C.G.: Eleven spherically symmetric constant density solutions with cosmological constant. Gen. Relativ. Gravit. 36, 1039–1054 (2004)

    Article  ADS  MATH  Google Scholar 

  7. Böhmer C.G., Harko T.: Minimum mass-radius ratio for charged gravitational objects. Gen. Relativ. Gravit. 39, 757–775 (2007)

    Article  ADS  MATH  Google Scholar 

  8. Bonnor W.B.: The mass of a static charged sphere. Zeitschrift für Physik 160, 59–65 (1960)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. Cooperstock F.I., de La Cruz V.: Sources for the Reissner-Nordstrom metric. Gen. Relativ. Gravit. 9, 835–843 (1978)

    Article  ADS  Google Scholar 

  10. Efinger H.J.: Über die Selbstenergie und Ladung eines durch Gravitationswirkungen stabilisierten Teilchens in einem gekrümmten Raum. Zeitschrift für Physik 188, 31–37 (1965)

    Article  MathSciNet  ADS  Google Scholar 

  11. Florides P.S.: A new interior schwarzschild solution. Proc. Royal Soc. A 337, 529–535 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  12. Florides P.S.: The complete field of a general static spherically symmetric distribution of charge. Nuovo Cimento A42, 343–359 (1977)

    ADS  Google Scholar 

  13. Florides P.S.: The complete field of charged perfect fluid spheres and of other static spherically symmetric charged distributions. J. Phys. A Math. Gen. 16, 1419–1433 (1983)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  14. Grøn Ø.: A charged generalization of Florides’ interior Schwarzschild solution. Gen. Relativ. Gravit. 18, 591–596 (1986)

    Article  ADS  Google Scholar 

  15. Kramer D., Neugebauer G.: Innere Reissner-Weyl-Lösung. Annalen der Physik 482, 129–135 (1971)

    Article  ADS  Google Scholar 

  16. Mehra A.L.: An interior solution for a charged sphere in general relativity. Phys. Lett. A88, 159–161 (1982)

    MathSciNet  ADS  Google Scholar 

  17. Ortaggio M.: Impulsive waves in the nariai universe. Phys. Rev. D65, 084046 (2002)

    ADS  Google Scholar 

  18. Robinson I.: A solution of the Maxwell-Einstein equations. Bull. Acad. Pol. Sci. Ser. Sci. Math. Astron. Phys. 7, 351–352 (1959)

    MATH  Google Scholar 

  19. Wilson S.J.: Exact solution of a static charged sphere in general relativity. Can. J. Phys. 47, 2401–2404 (1967)

    Article  ADS  Google Scholar 

  20. Xu, C.-M., Wu, X.-J., Huang, Z.: A New Class of Spherically Symmetric Interior Solution with Cosmological Constant Lambda. IC-86-392 (1986)

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Böhmer, C.G., Mussa, A. Charged perfect fluids in the presence of a cosmological constant. Gen Relativ Gravit 43, 3033–3046 (2011). https://doi.org/10.1007/s10714-011-1223-5

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