Determinantal invariant gravity

Abstract

Einstein-Hilbert action with a determinantal invariant has been considered. The obtained field equation contains the \texttt{inverse Ricci tensor}, ${\Re }_{\alpha \beta }$. The linearized solution of invariant has been examined, and constant curvature space-time metric solution of the field equation gives different curvature constant for each values of $\sigma$. $\sigma =0$ gives a trivial solution for constant curvature, $R_0$.

6 pages

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• The Higgs field as an inflaton
• Massive Gravity in Minkowski Space via Gravitational Higgs Mechanism