Unveiling the Dynamics of the Universe

Abstract

We explore the dynamics and evolution of the Universe at early and late times, focusing on both dark energy and extended gravity models and their astrophysical and cosmological consequences. Modified theories of gravity not only provide an alternative explanation for the recent expansion history of the universe, but they also offer a paradigm fundamentally distinct from the simplest dark energy models of cosmic acceleration. In this review, we perform a detailed theoretical and phenomenological analysis of different modified gravity models and investigate their consistency. We also consider the cosmological implications of well motivated physical models of the early universe with a particular emphasis on inflation and topological defects. Astrophysical and cosmological tests over a wide range of scales, from the solar system to the observable horizon, severely restrict the allowed models of the Universe. Here, we review several observational probes -- including gravitational lensing, galaxy clusters, cosmic microwave background temperature and polarization, supernova and baryon acoustic oscillations measurements -- and their relevance in constraining our cosmological description of the Universe.

arXiv comment94 pages, 14 figures. Review paper accepted for publication in a Special Issue of Symmetry. "Symmetry: Feature Papers 2016". V2: Matches published version, now 79 pages (new format)

References in corpus (292)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• A Universal Density Profile from Hierarchical Clustering
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Dynamics of dark energy
• HEALPix -- a Framework for High Resolution Discretization, and Fast Analysis of Data Distributed on the Sphere
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Supersymmetric Dark Matter
• The Confrontation between General Relativity and Experiment
• f(R) theories
• Cosmological parameters from CMB and other data: a Monte-Carlo approach
• Advanced LIGO
• 4D Gravity on a Brane in 5D Minkowski Space
• Extended Theories of Gravity
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Quintessence, Cosmic Coincidence, and the Cosmological Constant
• The Cosmological Constant
• Weak Gravitational Lensing
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Baryonic Features in the Matter Transfer Function
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Stable clustering, the halo model and nonlinear cosmological power spectra
• Improved cosmological constraints from a joint analysis of the SDSS-II and SNLS supernova samples
• The galileon as a local modification of gravity
• Essentials of k-essence
• Coupled Quintessence
• Cosmological Perturbation Theory in the Synchronous vs. Conformal Newtonian Gauge
• Cosmological Perturbation Theory in the Synchronous and Conformal Newtonian Gauges
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Mass function of dark matter halos
• f(T) teleparallel gravity and cosmology
• Observational Probes of Cosmic Acceleration
• Curvature Quintessence
• Generating the curvature perturbation without an inflaton
• Loop Quantum Cosmology: A Status Report
• Non-Gaussianity from Inflation: Theory and Observations
• Revising the Halofit Model for the Nonlinear Matter Power Spectrum
• Massive Gravity
• Einstein's Other Gravity and the Acceleration of the Universe
• From k-essence to generalised Galileons
• Planck 2013 results. XXII. Constraints on inflation
• Covariant Galileon
• Extra force in $f(R)$ modified theories of gravity
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Cosmology and fundamental physics with the Euclid satellite
• Brane-World Gravity
• Formation of Galaxy Clusters
• Quintom Cosmology: Theoretical implications and observations
• The Sunyaev-Zel'dovich Effect
• Reconstructing the Inflaton Potential --- an Overview
• Quantum Nature of the Big Bang
• Brane-world gravity
• Cosmic Growth History and Expansion History
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Healthy theories beyond Horndeski
• CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey
• Galaxy Clusters Discovered via the Sunyaev-Zel'dovich Effect in the 2500-square-degree SPT-SZ survey
• Effects of Galaxy Formation on Thermodynamics of the Intracluster Medium
• Second-Order Cosmological Perturbations from Inflation
• Imperfect Dark Energy from Kinetic Gravity Braiding
• Can dark energy evolve to the Phantom?
• Planck 2013 results. XX. Cosmology from Sunyaev-Zeldovich cluster counts
• Scaling solutions in general non-minimal coupling theories
• Detection of weak gravitational lensing distortions of distant galaxies by cosmic dark matter at large scales
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Detection of Weak Gravitational Lensing by Large-scale Structure
• Transforming gravity: from derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
• Beyond $\Lambda$CDM: Problems, solutions, and the road ahead
• Cosmology with cosmic shear observations: a review
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Cosmological scaling solutions of non-minimally coupled scalar fields
• Exploring gravitational theories beyond Horndeski
• Assisted inflation
• Action functionals for relativistic perfect fluids
• Planck 2013 Results. XXIV. Constraints on primordial non-Gaussianity
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Bayesian Galaxy Shape Measurement for Weak Lensing Surveys - III. Application to the Canada-France-Hawaii Telescope Lensing Survey
• Gravitational Lensing
• Power Spectrum Tomography with Weak Lensing
• A Parameterized Post-Friedmann Framework for Modified Gravity
• CFHTLenS: The Canada-France-Hawaii Telescope Lensing Survey - Imaging Data and Catalogue Products
• Very weak lensing in the CFHTLS Wide: Cosmology from cosmic shear in the linear regime
• Measuring the dark side (with weak lensing)
• A discriminating probe of gravity at cosmological scales
• Non-Gaussianity of the primordial perturbation in the curvaton model
• A new measure for cosmic shear
• Where new gravitational physics comes from: M-theory?
• Dark Energy Dominance and Cosmic Acceleration in First Order Formalism
• The effect of primordial non-Gaussianity on halo bias
• Eddington's theory of gravity and its progeny
• Evidence for the accelerated expansion of the Universe from weak lensing tomography with COSMOS
• Extended Gravity Theories and the Einstein-Hilbert Action
• Cosmological reconstruction of realistic modified F(R) gravities
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Inflationary cosmology in modified gravity theories
• Gravity assisted dark energy dominance and cosmic acceleration
• Covariant conservation of energy momentum in modified gravities
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• CMB Anomalies after Planck
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Confirmation of general relativity on large scales from weak lensing and galaxy velocities
• Quantifying the effect of baryon physics on weak lensing tomography
• The conformal frame freedom in theories of gravitation
• Nonminimal coupling of perfect fluids to curvature
• Metric-affine f(R) theories of gravity
• Quantitative String Evolution
• Born-Infeld-Einstein Actions?
• $f(T,\mathcal{T})$ gravity and cosmology
• Cosmology with Weak Lensing Surveys
• Cosmological dynamics of R^n gravity
• The abundance of high-redshift objects as a probe of non-Gaussian initial conditions
• Modified gravity models of dark energy
• Effects of Scale-Dependent Non-Gaussianity on Cosmological Structures
• Extending the Velocity-dependent One-scale String Evolution Model
• Lectures on Loop Quantum Gravity
• On Non-Gaussianity in the Curvaton Scenario
• CFHTLenS revisited: assessing concordance with Planck including astrophysical systematics
• Wormholes supported by hybrid metric-Palatini gravity
• Reconstructing the universe history, from inflation to acceleration, with phantom and canonical scalar fields
• The Excursion Set Theory of Halo Mass Functions, Halo Clustering, and Halo Growth
• The bispectrum of galaxies from high-redshift galaxy surveys: primordial non-Gaussianity and non-linear galaxy bias
• The Coyote Universe Extended: Precision Emulation of the Matter Power Spectrum
• The shape of primordial non-Gaussianity and the CMB bispectrum
• PRISM (Polarized Radiation Imaging and Spectroscopy Mission): An Extended White Paper
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Dark Matter from R^2-gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• Generalized energy conditions in Extended Theories of Gravity
• A new view of k-essence
• On the estimation of gravitational wave spectrum from cosmic domain walls
• Generalized Assisted Inflation
• Energy conditions in modified gravity
• CFHTLenS: Testing the Laws of Gravity with Tomographic Weak Lensing and Redshift Space Distortions
• Isocurvature Perturbations in Multiple Inflationary Models
• Hybrid metric-Palatini gravity
• Constraints on cosmic string tension imposed by the limit on the stochastic gravitational wave background from the European Pulsar Timing Array
• Modified gravity with R-matter couplings and (non-)geodesic motion
• Self-tuning and the derivation of the Fab Four
• Review of local non-Gaussianity from multi-field inflation
• Testing General Relativity with Current Cosmological Data
• On the Growth of Perturbations as a Test of Dark Energy
• Accelerated expansion from structure formation
• The Universality of Einstein Equations
• Weak Lensing Probes of Modified Gravity
• Constraining primordial non-Gaussianity with future galaxy surveys
• Self-similar cosmological solutions with a non-minimally coupled scalar field
• A viability criterion for modified gravity with an extra force
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Primordial statistical anisotropy generated at the end of inflation
• Cascading Gravity and Degravitation
• Large non-Gaussianity in multiple-field inflation
• Modified Gravity N-body Code Comparison Project
• Bouncing Cosmologies in Palatini $f(R)$ Gravity
• Structure formation from non-Gaussian initial conditions: multivariate biasing, statistics, and comparison with N-body simulations
• Constraints on a New Post-General Relativity Cosmological Parameter
• Cosmic microwave background anisotropy from wiggly strings
• Hydrodynamical simulations of the Sunyaev-Zel'dovich effect: cluster scaling relations and X-ray properties
• Dynamics of Assisted Inflation
• Cosmology of hybrid metric-Palatini f(X)-gravity
• Do f(R) theories matter?
• Wormholes and nonsingular space-times in Palatini $f(R)$ gravity
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Violation of the Equivalence Principle in Modified Theories of Gravity
• CFHTLenS tomographic weak lensing: Quantifying accurate redshift distributions
• Palatini $f(R)$ Black Holes in Nonlinear Electrodynamics
• Some aspects of the cosmological conformal equivalence between ``Jordan Frame'' and ``Einstein Frame''
• Gravitational Waves from Collapsing Domain Walls
• Non-Gaussian Density Fluctuations from Entropically Generated Curvature Perturbations in Ekpyrotic Models
• Palatini Formulation of Modified Gravity with $\ln R$ Terms
• On the non-minimal gravitational coupling to matter
• The European Pulsar Timing Array: current efforts and a LEAP toward the future
• Perturbations in a coupled scalar field cosmology
• Palatini formulation of modified gravity with a nonminimal curvature-matter coupling
• Cosmological Tests of General Relativity with Future Tomographic Surveys
• Lovelock Gravity at the Crossroads of Palatini and Metric Formulations
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Interacting dark energy in $f(R)$ gravity
• A Dynamical Approach to the Cosmological Constant
• Nonsingular Black Holes in $f(R)$ Theories
• Constraints on anisotropic cosmic expansion from supernovae
• The Cosmology of Ricci-Tensor-Squared Gravity in the Palatini Variational Approach
• General analytic formulae for attractor solutions of scalar-field dark energy models and their multi-field generalizations
• Geodesic completeness in a wormhole spacetime with horizons
• Palatini versus metric formulation in higher curvature gravity
• Vacuum Energy Sequestering: The Framework and Its Cosmological Consequences
• Secondary anisotropies of the CMB
• The Halo Mass Function from Excursion Set Theory. III. Non-Gaussian Fluctuations
• Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution
• Isotropic and Anisotropic Bouncing Cosmologies in Palatini Gravity
• Anisotropic non-Gaussianity from vector field perturbations
• Constraints on f(R) Cosmology in the Palatini Formalism
• The evolution of clusters in the CLEF cosmological simulation: X-ray structural and scaling properties
• Massless Fileds in Scalar-Tensor Cosmologies
• Born-Infeld gravity and its functional extensions
• An Estimate of the Primordial Non-Gaussianity Parameter f_NL Using the Needlet Bispectrum from WMAP
• Horndeski theories self-tuning to a de Sitter vacuum
• GaBoDS: The Garching-Bonn Deep Survey: VI. Cosmic shear analysis
• Cosmology in Brans-Dicke theory with a scalar potential
• How (Not) to Palatini
• Ekpyrotic Non-Gaussianity -- A Review
• Cosmic variance of the local Hubble flow in large-scale cosmological simulations
• The Void Abundance with Non-Gaussian Primordial Perturbations
• Testing the Copernican principle by constraining spatial homogeneity
• Evolution of the cluster abundance in non-Gaussian models
• The Non-Gaussian Halo Mass Function with fNL, gNL and tauNL
• Density Perturbations in Multifield Inflationary Models
• Asymptotically Safe Starobinsky Inflation
• N-body simulations with generic non-Gaussian initial conditions II: Halo bias
• Probing Cosmological Isotropy With Type IA Supernovae
• New interactions in the dark sector mediated by dark energy
• Phase space geometry in scalar-tensor cosmology
• On the potentials yielding cosmological scaling solutions
• How Well Can Future CMB Missions Constrain Cosmic Inflation?
• Brane-world and loop cosmology from a gravity-matter coupling perspective
• Classical resolution of black hole singularities via wormholes
• Chaotic inflation in modified gravitational theories
• Phase-plane analysis of Friedmann-Robertson-Walker cosmologies in Brans-Dicke gravity
• Reconstruction of scalar field theories realizing inflation consistent with the Planck and BICEP2 results
• Velocity-Dependent Models for Non-Abelian/Entangled String Networks
• Dynamics of assisted quintessence
• Modified Actions for Gravity: Theory and Phenomenology
• Frustrated Expectations: Defect Networks and Dark Energy
• Importance of torsion and invariant volumes in Palatini theories of gravity
• The Parkes Pulsar Timing Array
• Hydrodynamical simulations of the Sunyaev-Zel'dovich effect: the kinetic effect
• Semiclassical geons as solitonic black hole remnants
• Crystal clear lessons on the microstructure of space-time and modified gravity
• Generalized Uncertainty Principle: Implications for Black Hole Complementarity
• Constraints and tensions in testing general relativity from Planck and CFHTLenS including intrinsic alignment systematics
• Cosmic String Loops as the Seeds of Super-Massive Black Holes
• Accurate Calibration of the Velocity-dependent One-scale Model for Domain Walls
• Modified f(R) gravity from scalar-tensor theory and inhomogeneous EoS dark energy
• Cosmological perturbations and the reionization epoch
• Matter power spectrum from a Lagrangian-space regularization of perturbation theory
• Infrared lessons for ultraviolet gravity: the case of massive gravity and Born-Infeld
• Improved constraints on primordial non-Gaussianity for the Wilkinson Microwave Anisotropy Probe 5-yr data
• An Improved Calculation of the Non-Gaussian Halo Mass Function
• Excursion Sets and Non-Gaussian Void Statistics
• Measuring dark energy spatial inhomogeneity with supernova data
• Number counts in homogeneous and inhomogeneous dark energy models
• Spotting deviations from R^2 inflation
• Assisted coupled quintessence
• COSMOS weak-lensing constraints on modified gravity
• Scaling solutions from interacting fluids
• Measuring primordial non-Gaussianity with weak-lensing surveys
• Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
• Non-Gaussianity as a Probe of the Physics of the Primordial Universe and the Astrophysics of the Low Redshift Universe
• On the Asymptotic Behaviour of Cosmological Models in Scalar-Tensor Theories of Gravity
• Exploring degeneracies in modified gravity with weak lensing
• Cluster scaling relations from cosmological hydrodynamic simulations in dark energy dominated universe
• Testing Modified Gravity with Cosmic Shear
• Multiple Dark Matter as a self-regulating mechanism for dark sector interactions
• Constraining the redshift evolution of the Cosmic Microwave Background black-body temperature with PLANCK data
• Cosmic Microwave Background anisotropies generated by domain wall networks
• The cosmological evolution of p-brane networks
• p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework
• The initial shear field in models with primordial local non-Gaussianity and implications for halo and void abundances
• Testing gravity with $E_G$: mapping theory onto observations
• Assisted dark energy
• Cosmic strings, loops, and linear growth of matter perturbations
• Stability analysis of cosmological models through Liapunov's method
• Measuring the redshift dependence of the CMB monopole temperature with PLANCK data
• Classical resolution of black hole singularities in arbitrary dimension
• On vector mode contribution to CMB temperature and polarization from local strings
• Non-minimal curvature-matter couplings in modified gravity
• Cosmic string evolution with a conserved charge
• Attracted to de Sitter II: cosmology of the shift-symmetric Horndeski models
• Primordial Adiabatic Fluctuations from Cosmic Defects
• Observational Constraints on Varying-alpha Domain Walls
• Non-Gaussian Halo Mass Function and Non-Spherical Halo Collapse: Theory vs. Simulations
• Linear Perturbation constraints on Multi-coupled Dark Energy
• The quantum, the geon, and the crystal
• Halo statistics in non-Gaussian cosmologies: the collapsed fraction, conditional mass function, and halo bias from the path-integral excursion set method
• Attracted to de Sitter: cosmology of the linear Horndeski models
• Analytic Models for the Evolution of Semilocal String Networks
• Supernova constraints on Multi-coupled Dark Energy
• Constraining primordial non-Gaussianity with CMB-21cm cross-correlations?
• Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field
• Application of cross correlations between CMB and large scale structure to constraints on the primordial non-Gaussianity
• Constraints on cosmic strings from ultracompact minihalos
• Cosmic Strings and the Origin of Globular Clusters
• The impact of dust on the scaling properties of galaxy clusters
• Evolution of Hybrid Defect Networks
• Angular distribution of cosmological parameters as a probe of inhomogeneities: a kinematic parametrisation
• A weak lensing view on primordial non-Gaussianities
• Biased cosmological parameter estimation with galaxy cluster counts in the presence of primordial non-Gaussianities
• p-brane dynamics in N+1-dimensional FRW universes
• Dynamics of entropy perturbations in assisted dark energy with mixed kinetic terms
• A new signature of primordial non-Gaussianities from the abundance of galaxy clusters
• Effect of Priomordial non-Gaussianities on Galaxy Clusters Scaling Relations

Cited by in corpus (40)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• $f(Q,T)$ gravity
• Effective Field Theory of Dark Energy: a Review
• Palatini formulation of $f(R,T)$ gravity theory, and its cosmological implications
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Geodesic deviation, Raychaudhuri equation, Newtonian limit, and tidal forces in Weyl-type $f(Q,T)$ gravity
• A designer approach to $f(Q)$ gravity and cosmological implications
• Viable Mimetic Completion of Unified Inflation-Dark Energy Evolution in Modified Gravity
• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Hybrid metric-Palatini stars
• On dynamical systems approaches and methods in $f(R)$ cosmology
• Cosmology in scalar-tensor $f(R,T)$ gravity
• New torsion black hole solutions in Poincaré gauge theory
• Forecasting F(Q) cosmology with $\Lambda$CDM background using standard sirens
• Observational Constraints and Cosmological Implications of Scalar-Tensor $f(R,T)$ Gravity
• (Regular) Black holes in conformal Killing gravity coupled to nonlinear electrodynamics and scalar fields
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Gravitationally induced particle production in scalar-tensor $f(R,T)$ gravity
• Phase space of modified Gauss-Bonnet gravity
• Analysing dissipative effects in the $\Lambda$CDM model
• Constraining Logotropic Unified Dark Energy Models
• Palatini wormholes and energy conditions from the prism of General Relativity
• Extended family of generalized Chaplygin gas models
• Probing Modified Gravity with Integrated Sachs-Wolfe CMB and Galaxy Cross-correlations
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Cosmic stringlike objects in hybrid metric-Palatini gravity
• Dynamical reconstruction of the $\Lambda$CDM model in scalar-tensor $f(R,T)$ gravity
• Lagrangian description of cosmic fluids: mapping dark energy into unified dark energy
• Curvature-matter couplings in modified gravity: from linear models to conformally invariant theories
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Cosmological study of a symmetric teleparallel gravity model
• What if Newton's Gravitational Constant was negative?
• Baryogenesis: A Symmetry Breaking in the Primordial Universe Revisited
• Static Vacuum Solutions on Curved Spacetimes with Torsion
• Modified Gravity with Nonminimal Curvature-Matter Couplings: A Framework for Gravitationally Induced Particle Creation
• Eckart heat-flux applicability in $F(\Phi ,X)R$ theories and the existence of temperature gradients
• Phantom Domain Walls
• Halos of dark energy
• Cosmological sudden singularities in $f(R,T)$ gravity