Cosmic dynamics and qualitative study of Rastall model with spatial curvature

Abstract

We investigate the cosmic dynamics of Rastall gravity in non-flat Friedmann-Robertson-Walker (FRW) space-time with barotropic fluid. In this context, we are concerned about the class of model satisfying the affine equation of state. We derive the autonomous system for the Rastall model with barotropic fluid. We apply the derived system to investigate the critical points for expanding and bouncing cosmologies and their stable nature and cosmological properties. The expanding cosmology yields de Sitter universe at late times with decelerating past having matter and radiation dominated phases. Investigation of autonomous system for bouncing cosmology yields oscillating solutions in positive spatial curvature region. We also investigate the consequences of setting-up a model of non-singular universe by using energy conditions. The distinct features of the Rastall model compared to the standard model have been discussed in detail.

arXiv comment14 pages, Typos corrected

References in corpus (29)

• f(R,T) gravity
• Properties of singularities in (phantom) dark energy universe
• Dynamical systems applied to cosmology: dark energy and modified gravity
• Cosmological dynamics of R^n gravity
• Rastall gravity is equivalent to Einstein gravity
• Einstein and Rastall Theories of Gravitation in Comparison
• Rastall Cosmology and the ΛCDM Model
• Black Hole Solutions Surrounded by Perfect Fluid in Rastall Theory
• Dark energy cosmology with generalized linear equation of state
• A Generalization to the Rastall Theory and Cosmic Eras
• Dynamical analysis of anisotropic scalar-field cosmologies for a wide range of potentials
• Note on the Evolution of the Gravitational Potential in Rastall Scalar Field Theories
• Dynamical system analysis of generalized energy-momentum-squared gravity
• Cosmological phase space analysis of the F (X) - V (phi) scalar field and bouncing solutions
• Cosmological consequences in the framework of generalized Rastall theory of gravity
• Rastall gravity extension of the standard $\Lambda$CDM model: theoretical features and observational constraints
• Constraining the Rastall parameters in static spacetimes with galaxy-scale strong gravitational lensing
• A connection between Rastall-type and f(R, T) gravities
• Emergent cosmic space in Rastall theory
• Linear growth index of matter perturbations in Rastall gravity
• Bouncing solutions in Rastall's theory with a barotropic fluid
• Compactifying the state space for alternative theories of gravity
• Structure Formation in Generalized Rastall Gravity
• Holographic dark energy in Rastall theory
• Cosmological implications of Rastall-$f(R)$ theory
• Bouncing solutions in $f(T)$ gravity
• On Rastall gravity formulation as a $f(R,{\mathcal{L}}_m)$ and a $f(R,T)$ theory
• Interacting vacuum at infinity
• Asymptotic Poincaré compactification and finite-time singularities

Cited by in corpus (6)

• Qualitative study of anisotropic Rastall cosmologies
• Dynamical systems of modified Gauss-Bonnet gravity: cosmological implications
• Compact stars in Rastall gravity: hydrostatic equilibrium and radial pulsations
• Cosmological model with Gong-Zong Parametrization in $f(R,L_m)$ gravity
• Dynamical system analysis in descending dark energy model
• The $f(Q)$ gravity and affine EoS: Compatibility and observational constraints