Annali di Matematica Pura ed Applicata

, Volume 113, Issue 1, pp 43–52 | Cite as

Cylindrical wave solutions of a scalar-tensor theory

  • K. B. Lal
  • M. Q. Khan


Recently Dunn(1974) has formulated a scalar-tensor theory of gavitation and proposed a set of field equations, by taking a modification of the Riemannian geometry and has obtained static spherically symmetric solutions of the vacuum field equations. In this paper we have investigated the cylindrical wave solutions of the above mentioned field equations in a space-time with a metric which is more general than that of Einstein-Rosen. It has been shown that these solutions can be deduced from the known solutions of the field equations representing empty space-time taken along with the Einstein-Rosen metric. Lastly some plane-wave solutions corresponding to the Bondi's general plane-wave metric, have come under inverstigation as a direct consequence of a certain assumption.


Direct Consequence Field Equation Wave Solution Symmetric Solution Riemannian Geometry 
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Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1977

Authors and Affiliations

  • K. B. Lal
    • 1
  • M. Q. Khan
    • 1
  1. 1.GorakhpurIndia

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