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

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