Loop Quantum Cosmology Corrected Gauss-Bonnet Singular Cosmology

Abstract

In this work we investigate which Loop Quantum Cosmology corrected Gauss-Bonnet $F(\mathcal{G})$ gravity can realize two singular cosmological scenarios, the intermediate inflation and the singular bounce scenarios. The intermediate inflation scenario has a Type III sudden singularity at $t=0$, while the singular bounce has a soft Type IV singularity. By using perturbative techniques, we find the holonomy corrected $F(\mathcal{G})$ gravities that generate at leading order the aforementioned cosmologies and we also argue that the effect of the holonomy corrections is minor to the power spectrum of the primordial curvature perturbations of the classical theory.

IJGMMP Accepted

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Cited by in corpus (12)

• Dynamical Systems Perspective of Cosmological Finite-time Singularities in $f(R)$ Gravity and Interacting Multifluid Cosmology
• Dynamics of Inflation and Dark Energy from $F(R,\mathcal{G})$ Gravity
• Unification of a Bounce with a Viable Dark Energy Era in Gauss-Bonnet Gravity
• $k$-essence $f(R)$ Gravity Inflation
• Inflation in mimetic f(G) gravity
• The Classical and Loop Quantum Cosmology Phase Space of Interacting Dark Energy and Superfluid Dark Matter
• Phantom energy dominated universe as a transient stage in $f(R)$ cosmology
• Generalized Logarithmic Equation of State in Classical and Loop Quantum Cosmology Dark Energy-Dark Matter Coupled Systems
• Late-time Cosmology of scalar field assisted $f(\mathcal{G})$ gravity
• Loop Quantum Cosmology with a noncommutative quantum deformed photon gas
• Cosmology from a running vacuum model driven by a scalar field
• Constraints on a scalar-tensor model with Gauss-Bonnet coupling from SN Ia and BAO observations