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

Abstract

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.

Keywords

Radiation Electromagnetic Field Static Solution Field Equation Differential Geometry 

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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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