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A solution of the Einstein-Maxwell equations describing conformally flat spacetime outside a charged domain wall

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Abstract.

We derive and discuss the physical interpretation of a conformally flat, static solution of the Einstein-Maxwell equations. It is argued that it describes a conformally flat, static spacetime outside a charged spherically symmetric domain wall. The acceleration of gravity is directed away from the wall in spite of the positive gravitational mass of the electric field outside the wall, as given by the Tolman-Whittaker expression. The reason for the repulsive gravitation is the strain of the wall which is calculated using the Israel formalism for singular surfaces.

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References

  1. B. Bertotti, Phys. Rev. 116, 1331 (1959)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  2. I. Robinson, Bull. Acad. Pol. Sci. Ser. Sci. Math. Astr. Phys. 7, 351 (1959)

    MATH  Google Scholar 

  3. N. Tariq, B.O.J. Tupper, J. Math. Phys. 15, 2232 (1974)

    Article  MathSciNet  ADS  Google Scholar 

  4. R.G. McLenaghan, N. Tariq, B.O.J. Tupper, J. Math. Phys. 16, 829 (1975)

    Article  MathSciNet  ADS  Google Scholar 

  5. M. Cahen, J. Leroy, J. Math. Mech. 16, 501 (1966)

    MathSciNet  MATH  Google Scholar 

  6. D. Lovelock, Commun. Math. Phys. 5, 205 (1967)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  7. D. Lovelock, Commun. Math. Phys. 5, 257 (1967)

    Article  MathSciNet  ADS  Google Scholar 

  8. P. Dolan, Commun. Math. Phys. 9, 161 (1968)

    Article  MathSciNet  ADS  MATH  Google Scholar 

  9. O. Grøn, Gen. Relativ. Gravit. 20, 123 (1988)

    Article  ADS  Google Scholar 

  10. W. Israel, Nuovo Cimento B 44, 1 (1966)

    Article  ADS  Google Scholar 

  11. W. Israel, Nuovo Cimento B 48, 1 (1967)

    Article  Google Scholar 

  12. O. Grøn, Phys. Rev. D 31, 2129 (1985)

    Article  ADS  Google Scholar 

  13. O. Grøn, S. Johannesen, Eur. Phys. J. Plus 126, 28 (2011)

    Article  Google Scholar 

  14. O. Grøn, S. Johannesen, Eur. Phys. J. Plus 126, 29 (2011)

    Article  Google Scholar 

  15. O. Grøn, S. Johannesen, Eur. Phys. J. Plus 126, 30 (2011)

    Article  Google Scholar 

  16. A. Melfo, H. Rago, Astrophys. Space Sci. 193, 9 (1992)

    Article  MathSciNet  ADS  Google Scholar 

  17. J. Ipser, P. Sikivie, Phys. Rev. D 30, 712 (1984)

    Article  MathSciNet  ADS  Google Scholar 

  18. A. Barnaveli, M. Gogberashvili, Theor. Math. Phys. 100, 1023 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  19. J.T. Jebsen, Ark. Mat. 18, 15 (1921) translated into English and reprinted in Gen. Relativ. Gravit. 37, 2253 (2005)

    Google Scholar 

  20. G.D. Birkhoff Relativity and Modern Physics (Harvard University Press, Cambridge, USA, 1923)

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Engineering, Oslo University College, P.O. Box 4, St.Olavs Plass, N-0130, Oslo, Norway

    Ø. Grøn & S. Johannesen

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  1. Ø. Grøn
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  2. S. Johannesen
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Correspondence to S. Johannesen.

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Grøn, Ø., Johannesen, S. A solution of the Einstein-Maxwell equations describing conformally flat spacetime outside a charged domain wall. Eur. Phys. J. Plus 126, 89 (2011). https://doi.org/10.1140/epjp/i2011-11089-5

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  • DOI: https://doi.org/10.1140/epjp/i2011-11089-5

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