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An asymptotically flat vacuum solution

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Abstract

An asympototically flat algebraically general vacuum metric is obtained. The solution is characterized by two commuting spacelike Killing vectors with flat integral surfaces and depends on one arbitrary function.

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References

  1. Newman, E. T., and Penrose, R. (1962).J. Math. Phys.,3, 566.

    Google Scholar 

  2. Bilge, A. H. (1989).Class. Quant. Grav.,6, 823.

    Google Scholar 

  3. Frolov, V. P. (1979).Trudy Lebedev Inst.Akad.Nauk. SSR,96, 72

    Google Scholar 

  4. Newman, E. T., and Unti, T. W. J. (1962).J. Math. Phys.,3, 891.

    Google Scholar 

  5. Gradshteyn, I. S., and Ryzhik, I. M. (1980).Table of Integrals, Series, and Products, (Academic Press, Inc. San Diego).

    Google Scholar 

  6. Petrovski, I. G. (1966).Ordinary Differential Equations, (Dover Publications, New York).

    Google Scholar 

  7. Papapetrou, A. (1971).Comptes Rendus Hebdomadaires des Séances de l'Academie des Sciences 272 1613.

    Google Scholar 

  8. Edgar, S. B. (1980).Gen. Rel Grav.,12, 347.

    Google Scholar 

  9. Reid, W. T. (1972),Riccati Differential Equations, (Academic Press, New York).

    Google Scholar 

  10. Kolassis, C. (1989).Class. Quant. Grav.,6, 683.

    Google Scholar 

  11. Kramer, D., Stephani, H., MacCallum, M., and Herlt, E. (1980).Exact Solutions of Einstein's Field Equations, (VEB Deutscher Verlag der Wissenschaften, Berlin).

    Google Scholar 

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Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    A. H. Bilge

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  1. A. H. Bilge
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Bilge, A.H. An asymptotically flat vacuum solution. Gen Relat Gravit 22, 365–377 (1990). https://doi.org/10.1007/BF00756145

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  • DOI: https://doi.org/10.1007/BF00756145

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