Bouncing solutions in Rastall's theory with a barotropic fluid

Abstract

Rastall's theory is a modification of Einstein's theory of gravity where the covariant divergence of the stress-energy tensor is no more vanishing, but proportional to the gradient of the Ricci scalar. The motivation of this theory is to investigate a possible non-minimal coupling of the matter fields to geometry which, being proportional to the curvature scalar, may represent an effective description of quantum gravity effects. Non-conservation of the stress-energy tensor, via Bianchi identities, implies new field equations which have been recently used in a cosmological context, leading to some interesting results. In this paper we adopt Rastall's theory to reproduce some features of the effective Friedmann's equation emerging from loop quantum cosmology. We determine a class of bouncing cosmological solutions and comment about the possibility of employing these models as effective descriptions of the full quantum theory.

Latex file, 14 pages, 1 figure in eps format. Typos corrected, one reference added. Published version

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• Perturbed thermodynamics of charged black hole solution in Rastall theory
• A connection between Rastall-type and f(R, T) gravities
• Scalar QNMs for higher dimensional black holes surrounded by quintessence in Rastall gravity
• Cosmic dynamics and qualitative study of Rastall model with spatial curvature
• Qualitative study of anisotropic Rastall cosmologies
• On Gödel-type Solution in Rastall's Gravity
• A dynamical system representation of generalized Rastall gravity
• Effects of Rastall parameter on perturbation of dark sectors of the Universe
• Lemaitre-Tolman-Bondi Static Universe in Rastall-like Gravity
• Bouncing cosmological model with general relativistic hydrodynamics in extended gravity
• Rastall's theory of gravity: Spherically symmetric solutions and the stability problem