General Relativity and Gravitation

, Volume 14, Issue 11, pp 1017–1022 | Cite as

Static conformally flat solutions in a general scalar-tensor theory of gravitation

  • V. U. M. Rao
  • D. R. K. Reddy
Research Articles


Explicit field equations in the general scalar-tensor theory of gravitation proposed by Nordtvedt are obtained with the aid of a static spherically symmetric conformally flat metric. Exact static solutions of Nordtvedt-Barker field equations both in vacuum and in the presence of a source-free electromagnetic field are presented and studied. It is shown that there are no spherically symmetric static conformally flat solutions of Nordtvedt-Barker field equations representing perfect fluid distribution with disordered radiation obeying the equation of stateρ=3p, except for the trivial empty flat space-time of Einstein's theory.


Radiation Electromagnetic Field Static Solution Field Equation Differential Geometry 
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  1. 1.
    Nordtvedt, K., Jr. (1970).Astrophys. J.,161, 1059.Google Scholar
  2. 2.
    Brans, C., and Dicke, R. H. (1961).Phys. Rev.,124, 925.Google Scholar
  3. 3.
    Jordan, P. (1959).Schwerkraft and Weltall, Vieweg, Braunschweig.Google Scholar
  4. 4.
    Barker, B. M. (1978).Astrophys. J.,219, 5.Google Scholar
  5. 5.
    Reddy, D. R. K. (1979).J. Math. Phys.,20, 23.Google Scholar
  6. 6.
    Reddy, D. R. K., and Rao, V. U. M. (1981).J. Phys. A Math. Gen.,14, 1973.Google Scholar
  7. 7.
    Dutta Choudhury, S. B., and Bhattacharya, D. (1980).J. Phys. A Math. Gen.,13, 3643.Google Scholar
  8. 8.
    Banerjee, A., and Dutta Choudhury, S. B. (1980).J. Math. Phys.,21, 2799.Google Scholar
  9. 9.
    Landau, L. and Lifshitz, E. (1959).The Classical Theory of Fields, Addison-Wesley, Reading, Massachusetts.Google Scholar

Copyright information

© Plenum Publishing Corporation 1982

Authors and Affiliations

  • V. U. M. Rao
    • 1
  • D. R. K. Reddy
    • 1
  1. 1.Department of Applied MathematicsAndhra UniversityWaltairIndia

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