Unimodular Mimetic $F(R)$ Inflation

Understand

We propose the unimodular-mimetic $F(R)$ gravity theory, to resolve cosmological constant problem and dark matter problem in a unified geometric manner.

• We demonstrate that such a theory naturally admits accelerating universe evolution.
• Furthermore, we construct unimodular-mimetic $F(R)$ inflationary cosmological scenarios compatible with the Planck and BICEP2/Keck-Array observational data.
• We also address the graceful exit issue, which is guaranteed by the existence of unstable de Sitter vacua.