Determinantal invariant gravity

Abstract

Einstein–Hilbert action with a determinantal invariant has been considered. The obtained field equation contains the inverse Ricci tensor, [Formula: see text]. The linearized solution of invariant has been examined, and it is concluded that the constant curvature spacetime metric solution of the field equation gives different curvature constant for each values of [Formula: see text]. The [Formula: see text] gives a trivial solution for constant curvature, [Formula: see text].