• WEAKENED FIELD EQUATIONS IN GENERAL RELATIVITY ADMITTING  THE “GENERALIZED PLANE SYMMETRIC” METRIC

S R Bhoyar*; A. G. Deshmukh

• WEAKENED FIELD EQUATIONS IN GENERAL RELATIVITY ADMITTING THE “GENERALIZED PLANE SYMMETRIC” METRIC

S R Bhoyar*, A. G. Deshmukh

Abstract

In this paper, we propose to obtain the generalized plane gravitational waves in a set of five vacuum weakened equations in the generalized space-time introduced by us having plane symmetry in the sense of Taub [Ann.Math.53,472 (1951)]. These vacuum field equations has been suggested as alternatives to the Einstein vacuum field equations of general relativity. Furthermore we have discussed some particular cases.

Keywords

Plane symmetry, Plane gravitational waves, Curvature tensor, Ricci tensor, weakened field equations etc.

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