The Oscillating Universe: an Alternative to Inflation

Abstract

The aim of this paper is to show, that the 'oscillating universe' is a viable alternative to inflation. We remind that this model provides a natural solution to the flatness or entropy and to the horizon problem of standard cosmology. We study the evolution of density perturbations and determine the power spectrum in a closed universe. The results lead to constraints of how a previous cycle might have looked like. We argue that most of the radiation entropy of the present universe may have originated from gravitational entropy produced in a previous cycle. We show that measurements of the power spectrum on very large scales could in principle decide whether our universe is closed, flat or open.

revised version for publication in Classical and Quantum Gravity, 23 pages, uuencoded compressed tarred Latex file with 7 eps figures included, fig.8 upon request

References in corpus (4)

• Cosmic strings
• Pre-Big-Bang in String Cosmology
• The Entropy of the Gravitational Field
• Structure Formation in the Universe from Texture Induced Fluctuation

Cited by in corpus (30)

• The Pre-Big Bang Scenario in String Cosmology
• Tachyons, Scalar Fields and Cosmology
• A Critical Review of Classical Bouncing Cosmologies
• Primordial perturbations in a non singular bouncing universe model
• Can the Universe Create Itself?
• Parametric amplification of metric fluctuations through a bouncing phase
• A classical bounce: constraints and consequences
• Recycling the universe using scalar fields
• Could thermal fluctuations seed cosmic structure?
• The Cosmic Microwave Background: The history of its experimental investigation and its significance for cosmology
• Cosmological Hysteresis and the Cyclic Universe
• Inflationary Cosmology and Oscillating Universes in Loop Quantum Cosmology
• Adiabatic and entropy perturbations propagation in a bouncing Universe
• The Scale-invariant Power Spectrum of Primordial Curvature Perturbation in CSTB Cosmos
• Non-singular Brans-Dicke cosmology with cosmological constant
• Pre-big bang model has Planck problem
• A quantum cosmology approach to cosmic coincidence and inflation
• Emergent spontaneous symmetry breaking and emergent symmetry restoration in rippling gravitational background
• Time before Time - Classifications of universes in contemporary cosmology, and how to avoid the antinomy of the beginning and eternity of the world
• Bouncing universe of entropy-corrected Friedmann equations
• A pure general relativistic non-singular bouncing origin for the Universe
• A Cosmological Model with Dark Spinor Source
• Topological defects: A problem for cyclic universes?
• Universe bouncing its way to inflation
• The string theory swampland in the Euclid, SKA and Vera Rubin observatory era
• Growth of covariant perturbations in the contracting phase of a bouncing universe
• An Oscillating Holographic Dark Energy in $f(R)$ Gravity
• Cosmic hierarchy in $f(R)$ gravity
• A cyclic universe with colour fields
• Statistical Mechanical Theory of a Closed Oscillating Universe