Emergent Cosmology, Inflation and Dark Energy

Abstract

A new class of gravity-matter models defined in terms of two independent non-Riemannian volume forms (alternative generally covariant integration measure densities) on the space-time manifold are studied in some detail. These models involve an additional $R^2$ (square of the scalar curvature) term as well as scalar matter field potentials of appropriate form so that the pertinent action is invariant under global Weyl-scale symmetry. Scale invariance is spontaneously broken upon integration of the equations of motion for the auxiliary volume-form degrees of freedom. After performing transition to the physical Einstein frame we obtain: (i) An effective potential for the scalar field with two flat regions which allows for a unified description of both early universe inflation as well as of present dark energy epoch; (ii) For a definite parameter range the model possesses a non-singular "emergent universe" solution which describes an initial phase of evolution that precedes the inflationary phase; (iii) For a reasonable choice of the parameters the present model conforms to the Planck Collaboration data.

v.1 14 pages, 2 figures; v.2 references and acknowledgements added; v.3 very significant upgrade - 24 pages, change of list of authors, two new sections, extended abstract, introduction and conclusions, additional citations and acknowledgements; v.4 title shortened, further improvements, version to appear in "General Relativity and Gravitation"

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• Unified Dark Energy and Dark Matter from Dynamical Space Time
• Quintessential inflation: A tale of emergent and broken symmetries
• Recent advances in cosmological singularities
• $\alpha$ attractors in Quintessential Inflation motivated by Supergravity
• Gravity-Assisted Emergent Higgs Mechanism in the Post-Inflationary Epoch
• Two scalar fields inflation from scale-invariant gravity with modified measure
• Quintessential inflation and cosmological seesaw Mechanism: reheating and observational constraints
• Lorentzian Quintessential Inflation
• Quintessential Inflation from Lorentzian Slow Roll
• Non-Canonical Volume-Form Formulation of Modified Gravity Theories and Cosmology
• Unifying Inflation with early and late Dark Energy in Multi-Fields: Spontaneously broken scale invariant TMT
• Vacuum Structure and Gravitational Bags Produced by Metric-Independent Spacetime Volume-Form Dynamics
• A transition between bouncing hyper-inflation to ΛCDM from diffusive scalar fields
• Does the diffusion DM-DE interaction model solve cosmological puzzles?
• Cosmological aspects of a unified dark energy and dust dark matter model
• Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
• Quintessential Inflation with Dynamical Higgs Generation as an Affine Gravity
• The Scale Factor Potential Approach to Inflation
• Curvaton reheating in a Scale Invariant Two Measures Theory
• Linear potentials in galaxy halos by Asymmetric Wormholes
• Instant preheating in a scale invariant two measures theory
• Emergent Universe by Tunneling in a Jordan-Brans-Dicke Theory
• Radiation Like Scalar Field and Gauge Fields in Cosmology for a theory with Dynamical Time
• Cosmology from multimeasure multifield model
• Classically and Quantum stable Emergent Universe from Conservation Laws
• Cosmological Solutions from a Multi-Measure Model with Inflaton Field
• Bouncing Cosmology in Fourth-Order Gravity
• The Hubble tension from the standpoint of quantum cosmology
• Modified Measures as an Effective Theory for Causal Fermion Systems
• The spectrum of Gravitational Waves, their overproduction in quintessential inflation and its influence in the reheating temperature
• Cosmology of fermionic dark energy coupled to curvature
• Constraining the quintessential $\alpha$-attractor inflation through dynamical horizon exit method
• Thermodynamics of a Non-canonical $f(\bar{R},\bar{T})$ gravity
• The multi-measure cosmological model and its peculiar effective potential
• Emergent Spacetime and Cosmic Inflation
• Special cases of the Multi-Measure Model -- understanding the prolonged inflation
• Brane world creation from flat or almost flat space in dynamical tension string theories
• Relieving String Tension By Making Baby Universes in a Dynamical String Tension Braneworld Model
• Cosmological solutions from models with unified dark energy and dark matter and with inflaton field
• Does diffusion mechanism favor the emergent scenario of the universe?
• Cosmology via Metric-Independent Volume-Form Dynamics
• A Born-Infeld Scalar and a Dynamical Violation of the Scale Invariance from the Modified Measure Action
• Cosmological Singularities in Brane Gravity
• Light Like Segment Compactification and Braneworlds with Dynamical String Tension