Authors : D. N. Warade
Page Nos : 90-92
Description :
By Considering four dimensional plane symmetric line element containing the two times axes t1 and t2 as under: ds^2=-Ady^2-ϕ_2^2 Bdz^2+ϕ_3^2 2Bdt_1^2+2Bdt_2^2
The solutions of propagation equation of the generalities R_ij=0 in empty region of space-times for [z-√(t_1^2+t_2^2 )]—type plane wave is found as
P=m ̿/2m-m ̅^2/(4m^2 )-(m ̅B ̅)/2mB+B ̿/2B-(3B ̅^2)/(4B^2 )=0
Equivalent solutions are obtained by employing the concept of curvature tensor and Ricci tensor for above mentioned plane wave.
