Mimetic $F(R)$ gravity: inflation, dark energy and bounce

Abstract

We propose the mimetic $F(R)$ theory and investigate the early-time and late-time acceleration in such theory. It is demonstrated that inflation consistent with observable data may be realized in such theory. The reconstruction of realistic $\Lambda$CDM era is also possible as well as the unification of early-time inflation with late-time acceleration or bounce universe. It is stressed that specific universe evolution is governed by mimetic $F(R)$ theory which is different from convenient $F(R)$ gravity. The corresponding examples are presented. Mimetic $F(R)$ gravity is generalized by the addition of the scalar potential in the formulation of convenient $F(R)$ gravity with specific Lagrange multiplier constraint. It is demonstrated that such theory may admit the arbitrary universe evolution via the corresponding choice of the scalar potential and/or function $F(R)$.

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References in corpus (20)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Effective Field Theory for Inflation
• Cosmological reconstruction of realistic modified F(R) gravities
• Mimetic Dark Matter
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Cosmology with Mimetic Matter
• Exploring Bouncing Cosmologies with Cosmological Surveys
• On the recently proposed Mimetic Dark Matter
• Dark energy from modified gravity with Lagrange multipliers
• A Four-Dimensional Theory for Quantum Gravity with Conformal and Nonconformal Explicit Solutions

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