Abstract
In the present paper, LP-Kenmotsu manifolds admitting eta-Ricci solitons have been studied. Moreover, some results for eta-Ricci solitons in LP-Kenmotsu manifolds in the spacetime of general relativity have also been proved. Through a nontrivial example, we have given a proof for the existence of eta-Ricci solitons in a 5-dimensional LP-Kenmotsu manifold.