Eternal inflation and the initial singularity

Abstract

It is shown that a physically reasonable spacetime that is eternally inflating to the future must possess an initial singularity.

11 pages, Tufts University cosmology preprint

References in corpus (1)

• From the Big Bang Theory to the Theory of a Stationary Universe

Cited by in corpus (259)

• f(T) teleparallel gravity and cosmology
• The Pre-Big Bang Scenario in String Cosmology
• Inflationary spacetimes are not past-complete
• Horndeski theory and beyond: a review
• The Emergent Universe: inflationary cosmology with no singularity
• Matter Bounce Cosmology with the f(T) Gravity
• Bouncing Cosmologies: Progress and Problems
• Predictions from Quantum Cosmology
• Eternal inflation and its implications
• Particle physics models of inflation and curvaton scenarios
• An Open Universe from Inflation
• Stochastic Gravitational Wave Backgrounds
• The Emergent Universe: An Explicit Construction
• Inflation and Eternal Inflation
• Averaged Energy Conditions and Quantum Inequalities
• Singularity Theorems and Their Consequences
• Relativistic cosmology and large-scale structure
• Regular Black Holes and Topology Change
• The 1965 Penrose singularity theorem
• An emergent universe from a loop
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Open and Closed Universes, Initial Singularities and Inflation
• Pyrotechnic Universe
• Trans-Planckian Issues for Inflationary Cosmology
• The Effective Field Theory of nonsingular cosmology
• Recycling universe
• Alternatives to Cosmological Inflation
• Minimal conditions for the creation of a Friedman-Robertson-Walker universe from a "bounce"
• Cosmology without inflation
• A Matter Bounce By Means of Ghost Condensation
• On the divergences of inflationary superhorizon perturbations
• On Perturbations of Quintom Bounce
• Probing Primordial Gravitational Waves: Ali CMB Polarization Telescope
• Stability of the Einstein static Universe in $f(R,T)$ gravity
• Non-Gaussianity in a Matter Bounce
• Pre-inflationary universe in loop quantum cosmology
• Initial Conditions for Inflation - A Short Review
• A covariant Lagrangian for stable nonsingular bounce
• Bouncing cosmological solutions from f(R,T) gravity
• Evolution of Metric Perturbations in Quintom Bounce model
• Violations of the Weak Energy Condition in Inflating Spacetimes
• Cosmology of the Very Early Universe
• A Model Of Inflationary Cosmology Without Singularity
• The Einstein static universe in Loop Quantum Cosmology
• Making Predictions in Eternally Inflating Universe
• The Effective Field Theory of nonsingular cosmology: II
• On T-Duality in Brane Gas Cosmology
• An Extended Matter Bounce Scenario: current status and challenges
• Tall tales from de Sitter space I: Renormalization group flows
• Bounce and cyclic cosmology in extended nonlinear massive gravity
• G-Bounce Inflation: Towards Nonsingular Inflation Cosmology with Galileon Field
• Stable analytic bounce in non-local Einstein-Gauss-Bonnet cosmology
• Emergent Cosmology, Inflation and Dark Energy
• DHOST Bounce
• Emergent universe in chameleon, f(R) and f(T) gravity theories
• String Gas Cosmology: Progress and Problems
• Isotropization in Brane Gas Cosmology
• Big Bounce Genesis
• Eternal Inflation
• Thermal Fluctuations and Bouncing Cosmologies
• Emergent universe in a Jordan-Brans-Dicke theory
• Primordial backgrounds of relic gravitons
• Warm brane inflation with an exponential potential: A consistent realization away from the swampland
• Comprehensive Analysis of a Non-Singular Bounce in $f(R,T)$ Gravitation
• Self-Organised Localisation
• Viability of the matter bounce scenario in Loop Quantum Cosmology for general potentials
• Universal features of quantum bounce in loop quantum cosmology
• Cyclic cosmology from Lagrange-multiplier modified gravity
• Predictions in eternal inflation
• Emergent Universe Scenario via Quintom Matter
• Tolman wormholes violate the strong energy condition
• Initial conditions for Inflation in an FRW Universe
• Theoretical tools for CMB physics
• Scalar and Tensor Perturbations in DHOST Bounce Cosmology
• Constraints on the rotating self-dual black hole with quasi-periodic oscillations
• Eternal Inflation with alpha'-Corrections
• Emergent Universe from Scale Invariant Two Measures Theory
• Genericness of pre-inflationary dynamics and probability of the desired slow-roll inflation in modified loop quantum cosmologies
• Moduli Stabilization in String Gas Cosmology
• Matter bounce cosmology with a generalized single field: non-Gaussianity and an extended no-go theorem
• Emergent Cosmology Revisited
• Eternal Universe
• Primordial scalar power spectrum from the hybrid approach in loop cosmologies
• Pre-inflationary dynamics in loop quantum cosmology: Power-law potentials
• Predictions from Quantum Cosmology
• Black hole formation in a contracting universe
• Emergent Universe and Genesis from the DHOST Cosmology
• Cuscuton gravity as a classically stable limiting curvature theory
• On the past-completeness of inflationary spacetimes
• Cosmological perturbations and stability of nonsingular cosmologies with limiting curvature
• Entropic Force Scenarios and Eternal Inflation
• Regularizing cosmological singularities by varying physical constants
• Fine Tuning Free Paradigm of Two Measures Theory: K-Essence, Absence of Initial Singularity of the Curvature and Inflation with Graceful Exit to Zero Cosmological Constant State
• Bouncing Unitary Cosmology I: Mini-Superspace General Solution
• Perturbations in Matter Bounce with Non-minimal Coupling
• Deformed Matter Bounce with Dark Energy Epoch
• String Cosmology backgrounds from Classical String Geometry
• Observer dependence of bubble nucleation and Schwinger pair production
• Pulsar timing array observations as possible hints for nonsingular cosmology
• Wiggles in the cosmic microwave background radiation: echoes from non-singular cyclic-inflation
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Bounce Inflation Cosmology with Standard Model Higgs Boson
• Cosmological Perturbations on a Bouncing Brane
• A Radiation Bounce from the Lee-Wick Construction?
• Canonical measure and the flatness of a FRW universe
• A volume-weighted measure for eternal inflation
• Cosmology of the Spinor Emergent Universe and Scale-invariant Perturbations
• Pre-inflation and Trans-Planckian Censorship
• Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum
• Theoretical Aspects of Quintom Models
• Odds of observing the multiverse
• Challenges for String Gas Cosmology
• Gravitational quantum effects on power spectra and spectral indices with higher-order corrections
• Phenomenological implications of modified loop cosmologies: an overview
• Observational tests of the self-dual spacetime in loop quantum gravity
• Tracing Primordial Black Holes in Nonsingular Bouncing Cosmology
• On the Stability of Einstein Static Universe in Doubly General Relativity Scenario
• Quantum Instability of the Emergent Universe
• Emerging Universe from Scale Invariance
• Quantum Inequality Restrictions on Negative Energy Densities in Curved Spacetimes
• Maximal extensions and singularities in inflationary spacetimes
• High-order Primordial Perturbations with Quantum Gravitational Effects
• Primordial Spectra of slow-roll inflation at second-order with the Gauss-Bonnet correction
• Primordial perturbations with pre-inflationary bounce
• Constraints on standard and non-standard early Universe models from CMB B-mode polarization
• The Scale-invariant Power Spectrum of Primordial Curvature Perturbation in CSTB Cosmos
• Quantum Stress Tensor Fluctuations of a Conformal Field and Inflationary Cosmology
• A Stochastic Measure for Eternal Inflation
• Preinflationary dynamics of $\alpha -$attractor in loop quantum cosmology
• Non singular bounce in modified gravity
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• Conceptual Problems of Inflationary Cosmology and a New Approach to Cosmological Structure Formation
• Connecting The Non-Singular Origin of the Universe, The Vacuum Structure and The Cosmological Constant Problem
• Inflaton as an auxiliary topological field in a QCD-like system
• Unconventional Cosmology
• Quantum cosmology and eternal inflation
• Dual Space-Time and Nonsingular String Cosmology
• Emergent universe scenario and the low CMB multipoles
• On the Transfer of Adiabatic Fluctuations through a Nonsingular Cosmological Bounce
• Defocusing of Null Rays in Infinite Derivative Gravity
• Bouncing and cyclic string gas cosmologies
• Improved DHOST Genesis
• Emergent Universe by Tunneling
• Bounce and cyclic cosmology in weakly broken galileon theories
• On the Instability of the Lee-Wick Bounce
• On the initial singularity and extendibility of flat quasi-de Sitter spacetimes
• Pre-inflationary dynamics of Starobinsky inflation and its generization in Loop Quantum Brans-Dicke Cosmology
• Spectrum of Cuscuton Bounce
• String cosmology versus standard and inflationary cosmology
• Early Universe Evolution in Graviton-Dilaton Models
• Magnetogenesis in Matter - Ekpyrotic Bouncing Cosmology
• $f(Q,L_m)$ gravity, and its cosmological implications
• Bouncing Cosmology in VCDM
• Some global, analytical and topological properties of regular black holes
• Can the Big Bang Singularity be avoided by a single scalar field?
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Quantum gravitational onset of Starobinsky inflation in a closed universe
• Perturbative unitarity and NEC violation in genesis cosmology
• No-boundary Wave Function, Wheeler-DeWitt Equation and Path Integral Analysis of the Bouncing `Quantum' Cosmology
• String Gas Cosmology and Non-Gaussianities
• Evading the theoretical no-go theorem for nonsingular bounces in Horndeski/Galileon cosmology
• Singularities in Spherically Symmetric Solutions with Limited Curvature Invariants
• Reheating-volume measure for random-walk inflation
• String Gas Cosmology and Structure Formation - A Brief Review
• Probing the origin of our universe through primordial gravitational waves by Ali CMB project
• Revisiting pre-inflationary universe of family of $\alpha -$attractor in loop quantum cosmology
• The Interface of Cosmology with String and M(ILLENNIUM) Theory
• $f(T)$ cosmology: From Pseudo-Bang to Pseudo-Rip
• Tensor Perturbations from Bounce Inflation Scenario in f(Q) Gravity
• Bouncing with shear: Implications from quantum cosmology
• Particle dynamics and the accretion disk around a Self-dual Black Hole immersed in a magnetic field in Loop Quantum Gravity
• Phantom Behavior Bounce with Tachyon and Non-minimal Derivative Coupling
• Broken Scale Invariance, Gravity Mass, and Dark Energy in Modified Einstein Gravity with Two Measure Finsler Like Variables
• Preinflationary dynamics of power-law potential in loop quantum cosmology
• Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
• Towards a no hair theorem for higher order gravity
• The Trans-Planckian Problem for Inflationary Cosmology Revisited
• Deflationary Models Driven by Matter Creation
• Constraints on Models with a Break in the Primordial Power Spectrum
• Emergent Universe by Tunneling in a Jordan-Brans-Dicke Theory
• Probing signatures of bounce inflation with current observations
• A pure general relativistic non-singular bouncing origin for the Universe
• Cosmological Consequences of Domain Walls Biased by Quantum Gravity
• Big Bounce Genesis and Possible Experimental Tests -- A Brief Review
• The CST Bounce Universe model -- a parametric study
• Non Singular Origin of the Universe and its Present Vacuum Energy Density
• Holographic Curvature Perturbations in a Cosmology with a Space-Like Singularity
• Why CMB physics?
• Probing loop quantum effects through solar system experiments: observational signatures and parameter constraints
• Power Spectra of Slow-Roll inflation in the consistent $D\to 4$ Einstein-Gauss-Bonnet gravity
• Rejuvenating the hope of a swampland consistent inflated multiverse with tachyonic inflation in the high energy RS-II Braneworld
• Birth of de Sitter Universe from time crystal
• Thermal Fluctuations of Dark Matter in Bouncing Cosmology
• From pre- to post-big bang: an (almost) self-dual cosmological history
• Towards the bounce inflationary gravitational wave
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• The Anthropic Principle and the Duration of the Cosmological Past
• Non-Gaussianities in the Extended EFT of Inflation
• Classically and Quantum stable Emergent Universe from Conservation Laws
• Perturbations in Bouncing and Cyclic Models, a General Study
• Constraining string cosmology with the gravitational-wave background using the NANOGrav 15-year data set
• Primordial Gravitational Waves Spectrum in the Coupled-Scalar-Tachyon Bounce Universe
• Einstein Static Universe and its Stability in Generalized Rastall Gravity
• Stable Singularity-free Cosmological Solutions in non-projectable Horava-Lifshitz Gravity
• Oscillating and Static Universes from a Single Barotropic Fluid
• Interpreting Pulsar Timing Array data of Gravitational Waves with Ekpyrosis-Bouncing Cosmology
• Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy
• Limitations of an Effective Field Theory Treatment of Early Universe Cosmology
• Thermodynamical uncertainties for primordial black holes from cosmological phase transitions
• Search for stochastic gravitational-wave background from string cosmology with Advanced LIGO and Virgo's O1$\sim$O3 data
• Thermally Producing and Weakly Freezing-out Dark Matter in Bouncing Universe
• Removing the Big Bang Singularity: The role of the generalized uncertainty principle in quantum gravity
• Emergent universe revisited through the CSL theory
• Parity-violating primordial gravitational waves from null energy condition violation
• Emergent universe: tensor perturbations within the CSL framework
• Non-Abelian T-duality in Pre-Big-Bang Cosmology
• Saving the universe with finite volume effects
• Separation Distribution of Vacuum Bubbles in de Sitter Space
• Cosmological Singularities in Conformal Weyl Gravity
• Bouncing and inflationary dynamics in quantum cosmology in the de Broglie-Bohm interpretation
• Is a pole type singularity an alternative to inflation?
• Bouncing Universe in the Contexts of Generalized Cosmic Chaplygin Gas and Variable Modified Chaplygin Gas
• Geodesic completeness, cosmological bounces and inflation
• Bound to bounce: a coupled scalar-tachyon model for a smooth bouncing/cyclic universe
• Warm and Cold Dark Matter in Bouncing Universe
• Non-singular flat universes in braneworld and Loop Quantum Cosmology
• A maximal-entropy initial state of the Universe as a microscopic description of inflation
• Aspects of quantum gravity
• "All that matter ... in one Big Bang ...," & other cosmological singularities
• Possible relationship between initial conditions for inflation and past geodesic incompleteness of the inflationary spacetime
• Numerically Investigating the Emergent Cyclic Inflation Scenario
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Tunnelling-induced cosmic bounce in the presence of anisotropies
• Closed strings in Misner space: a toy model for a Big Bounce ?
• A quasi-matter bounce equivalent to Starobinsky inflation
• Adiabatic Duality: Duality of cosmological models with varying slow-roll parameter and sound speed
• Getting inflationary models using the deformation method
• Theory of Cosmological Perturbations and Applications to Superstring Cosmology
• Initial conditions of pre-inflation with Hilltop potential in loop quantum cosmology
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Smoking-gun signatures of bounce cosmology from echoes of relic gravitational waves
• Weyl Curvature Hypothesis in light of Quantum Backreaction at Cosmological Singularities or Bounces
• The Two-Measure Theory and an Overview of Some of its Manifestations
• Curing singularities: From the big bang to black holes
• Stable initial conditions and analytical investigations of cosmological perturbations in a modified loop quantum cosmology
• Initial condition from the action principle and its application to cosmology and to false vacuum bubbles
• Before the Bang
• String theory and primordial cosmology
• Following the density perturbations through a bounce with AdS/CFT Correspondence
• Classical and Semiclassical Stability of Emergent Universes in Jordan-Brans-Dicke Theory
• Mathematical Singularities in the Farthest Confines of the Universe -- And a Brief Report on Its Evolutionary History
• Bouncing completion of eternal inflation
• The meaning of "Big Bang"
• Quantum Creation of a Toy Universe without Inflation
• Cosmological backreaction of heavy string states
• A democratic Cosmos?
• Topics in Cosmology
• Looking Beyond Inflationary Cosmology
• Cosmology from a gauge induced gravity