Existence of [z-(1/ √2)(t1+t2)]-type and [(t1+t2)z√2]-type Plane Waves in V4 for Bimetric Relativity

Abstract

The biometric relativity of Rosen (1973,74) admits[z-(1/ √2)(t₁+t₂)]-type and[(t₁+t₂)z√2]-type plane gravitational waves in four dimensional space-times V₄ having two time axes where in the latter case the spacetime can be reduced to conformal one.