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Type-D vacuum solutions with cosmological constant

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Abstract

All type-D vacuum (nonnull orbit and null orbit) solutions with λ are exhibited in canonical coordinates. The nonnull orbit metrics with λ contain four families of solutions: the static Levi-Cività metrics, the nondivergingD's, the divergingD's, and the diverging and twisting solutions. The null orbit metrics subdivide into two subclasses of solutions: the divergenceless null orbitD's, and the diverging and twisting null orbit solution.

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References

  1. Czapor, S. R., and McLenaghan, R. G. (1982).J. Math. Phys.,23, 2159.

    Google Scholar 

  2. García D. A., Salazar I. H. All null orbit typeD electrovac solutions with cosmo logical constant, (1983).J. Math. Phys.,24, 2498.

    Google Scholar 

  3. Kinnersley, W. (1969).J. Math. Phys.,10, 1195.

    Google Scholar 

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

    Google Scholar 

  5. Kottler, F. (1918).Ann. Phys. Ser.,4, 56.

    Google Scholar 

  6. Schwarzschild, K. (1916).Sitzungsber. Akad. Wiss. Berlin,7, 189.

    Google Scholar 

  7. Carter, B. (1968).Commun. Math. Phys.,10, 280.

    Google Scholar 

  8. Kinnersley, W., and Walker, M. (1970).Phys. Rev. D,2, 1359.

    Google Scholar 

  9. Levi-Cività, T. (1918).Atti Accel. dei-Lincei, Rediconti,27, 343.

    Google Scholar 

  10. García, D. A.,and Salazar, I. H. (1983).Gen. Rel. Grav.,15, 417.

    Google Scholar 

  11. Plebański, J. F., (1975).Ann. Phys. (N.Y.),90, 196.

    Google Scholar 

  12. Debever, R., and McLenaghan, R. G. (1981).J. Math. Phys.,22, 1711.

    Google Scholar 

  13. Plebański, J. F., and Demiański, M. (1976).Ann. Phys. (N.Y.),98, 98.

    Google Scholar 

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Authors and Affiliations

  1. Departamento de Física, Centra de Investigatión y de Estudios Avanzados del IPN, Apdo. Postal 14-740, 07000, México D.F., Mexico

    Alberto García D.

  2. Sectión de Graduados, Escuela Superior de Ingeniería Mecánica y Eléctrica del IPN, México D.F., México

    Alberto García D. & Humberto Salazar I.

Authors
  1. Alberto García D.
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  2. Humberto Salazar I.
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Alberto García, D., Humberto Salazar, I. Type-D vacuum solutions with cosmological constant. Gen Relat Gravit 16, 417–422 (1984). https://doi.org/10.1007/BF00762333

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  • DOI: https://doi.org/10.1007/BF00762333

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