Multi-fluid potential in the loop cosmology

Abstract

The scalar field can behave like a fluid with equation of state $p_{\varphi }=w{\rho }_{\varphi }$, where $w\in [-1,1]$. In this Letter we derive a class of the scalar field potentials for which $w=$ const. Scalar field with such a potential can mimic ordinary matter, radiation, cosmic strings, etc. We perform our calculations in the framework of the loop cosmology with holonomy corrections. We solve the model analytically for the whole parameter space. Subsequently, we perform similar consideration for the model with a phantom field ($w<-1$). We show that scalar field is monotonic function in both cases. This indicates that it can be treated as a well-defined internal time for these models. Moreover we perform preliminary studies of the scalar field perturbations with this potential. We indicate that non-Gaussian features are present admitting for the possible observational constraints of the model.

6 pages, 6 figures, new section on perturbations added. Version to appear in PLB

References in corpus (13)

• Quantum Nature of the Big Bang: Improved dynamics
• Quantum Nature of the Big Bang
• Quantum Nature of the Big Bang: An Analytical and Numerical Investigation
• Corrections to the Friedmann Equations from LQG for a Universe with a Free Scalar Field
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Avoidance of future singularities in loop quantum cosmology
• Loop cosmological dynamics and dualities with Randall-Sundrum braneworlds
• Is loop quantization in cosmology unique?
• Phantom field dynamics in loop quantum cosmology
• Gravitational waves from the Big Bounce
• Exact solutions for Big Bounce in loop quantum cosmology
• Cosmological evolution of interacting phantom (quintessence) model in Loop Quantum Gravity
• Universe from vacuum in loop-string cosmology

Cited by in corpus (17)

• Loop Quantum Cosmology: A Status Report
• The Matter Bounce Scenario in Loop Quantum Cosmology
• Non-singular bounce scenarios in loop quantum cosmology and the effective field description
• The Observational Implications of Loop Quantum Cosmology
• Loop Quantum Cosmology Gravitational Baryogenesis
• Deformed Matter Bounce with Dark Energy Epoch
• Ekpyrotic loop quantum cosmology
• Inflation in Loop Quantum Cosmology
• Inverse volume corrections to emergent tachyonic inflation in loop quantum cosmology
• Bouncing cosmologies via modified gravity in the ADM formalism: Application to Loop Quantum Cosmology
• Reconstructing the Universe Evolution from Loop Quantum Cosmology Scalar Fields
• The Dapor-Liegener model of Loop Quantum Cosmology: A dynamical analysis
• Observational constraints on anisotropies for bouncing alternatives to inflation
• Qualitative study in Loop Quantum Cosmology
• Dynamical behaviors of FRW Universe containing a positive/negative potential scalar field in loop quantum cosmology
• Variety of $(d+1)$ dimensional Cosmological Evolutions with and without bounce in a class of LQC -- inspired Models
• A quasi-matter bounce equivalent to Starobinsky inflation