Characterization of Einstein Poisson warped product space

In this article, we study the problem of existence and nonexistence warping function associated with constant scalar curvature on pseudo-Riemannian Poisson warped product space under assumption that fiber has curvature. We characterize Einstein by taking various dimensions base B (i.e; (1). \(dim B=1,\) (2). \(dimB\ge 2\)).