  Einstein like $(\varepsilon)$-para Sasakian manifolds are introduced. For an
$(\varepsilon) $-para Sasakian manifold to be Einstein like, a necessary and
sufficient condition in terms of its curvature tensor is obtained. The scalar
curvature of an Einstein like $(\varepsilon) $-para Sasakian manifold is
obtained and it is shown that the scalar curvature in this case must satisfy
certain differential equation. A necessary and sufficient condition for an
$(\varepsilon) $-almost paracontact metric hypersurface of an indefinite
locally Riemannian product manifold to be $(\varepsilon) $-para Sasakian is
obtained and it is proved that the $(\varepsilon) $-para Sasakian hypersurface
of an indefinite locally Riemannian product manifold of almost constant
curvature is always Einstein like.
