Advertisement

Astrophysics and Space Science

, Volume 100, Issue 1–2, pp 309–317 | Cite as

Axisymmetric stationary vacuum fields in the general scalar tensor theory

  • T. Singh
  • Tarkeshwar Singh
Article

Abstract

It is show that axisymmetric stationary vacuum solutions of the general scalar tensor theory of gravitation proposed by Nordvedt and later discussed by Barker and others can be obtained from the solutions of the axisymmetric stationary Einstein vacuum fields and also from the axisymmetric static vacuum fields of the general scalar tensor theory. The scalar tensor analogue of the Kerr solution has been obtained.

Keywords

Stationary Vacuum General Scalar Vacuum Solution Scalar Tensor Theory Tensor Theory 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Banerjee, A. and Duttachoudhury, S. B.: 1980,J. Math. Phys. 21, 2799.Google Scholar
  2. Barker, B. M.: 1978,Astrophys. J. 219, 5.Google Scholar
  3. Bergmann, P. G.: 1968,Int. J. Theor. Phys. 1, 25.Google Scholar
  4. Brans, C. H. and Dicke, R. H.: 1961,Phys. Rev. 124, 925.Google Scholar
  5. Duttachoudhury, S. B., and Battacharya, D.: 1980,J. Physique A13, 3643.Google Scholar
  6. Kerr, R. P.: 1963,Phys. Rev. Letters 11, 237.Google Scholar
  7. Kimball, A. M. and Yee, J. N.: 1974,Phys. Rev. D10, 420.Google Scholar
  8. Kinnersley, W. and Chitre, D. M.: 1978a,Phys. Rev. Letters 40, 1608.Google Scholar
  9. Kinnersley, W. and Chitre, D. M.: 1978b,J. Math. Phys. 19, 2037.Google Scholar
  10. Matzner, R. A. and Misner, C. W.: 1967,Phys. Rev. 154, 1229.Google Scholar
  11. Misa, R. M. and Pandey, D. B.: 1972,J. Math. Phys. 13, 1538.Google Scholar
  12. Nayak, B. K. and Tiwari, R. N.: 1977,J. Math. Phys. 18, 289.Google Scholar
  13. Nordvedt, K.: 1970,Astrophys. J. 161, 1059.Google Scholar
  14. Schwinger, J.: 1970,Particles, Sources and Fields, Addison-Wesley, Reading, Mass. Vol. I.Google Scholar
  15. Tomimatsu, A. and Sato, H.: 1973,Prog. Theor. Phys. 50, 95.Google Scholar
  16. Van den Burgh, N.: 1982,Gen. Rel. Grav. 14, 17.Google Scholar
  17. Wagoner, R. V.: 1970,Phys. Rev. D1, 3209.Google Scholar
  18. Yamazaki, M.: 1976,Sci. Rep. Kanazawa Univ. Japan 21, 1313.Google Scholar
  19. Yamazaki, M.: 1977a,Prog. Theor. Phys. 52, 1951.Google Scholar
  20. Yamazaki, M.: 1977b,J. Math. Phys. 18, 2502.Google Scholar
  21. Yamazaki, M.: 1978,J. Math. Phys. 19, 1847.Google Scholar

Copyright information

© D. Reidel Publishing Company 1984

Authors and Affiliations

  • T. Singh
    • 1
  • Tarkeshwar Singh
    • 1
  1. 1.Applied Mathematics Section, Institute of TechnologyBanaras Hindu UniversityVaranasiIndia

Personalised recommendations