-type and -type four dimensional plane wave solutions of Einstein's field

ABSTRACT: In the present paper, we have studied
( ) ]
2
1
[ y  z  t - type and
[t 2 ( y  z)]-type plane
wave solutions of Einstein’s field equations in general theory of relativity in the case where the zero mass scalar
field coupled with gravitational field and zero mass scalar field coupled with gravitational & electromagnetic
field and established the existence of these two types of plane wave solutions in
V4
. Furthermore we have
considered the case of massive scalar field and shown that the non-existence of these two types of plane wave
solutions in GR theory.
Keywords : Einstein’s field equations in general relativity in case where the zero mass scalar field coupled with
gravitational field and zero mass scalar field coupled with gravitational & electromagnetic field, four
dimensional space-time, etc.