A covariant Lagrangian for stable nonsingular bounce

Abstract

The nonsingular bounce models usually suffer from the ghost or gradient instabilities, as has been proved recently. In this paper, we propose a covariant effective theory for stable nonsingular bounce, which has the quadratic order of the second order derivative of the field $\varphi$ but the background set only by $P(\varphi ,X)$. With it, we explicitly construct a fully stable nonsingular bounce model for the ekpyrotic scenario.

arXiv comment12 pages, 6 figures; published in JHEP; an Appendix and references added

References in corpus (28)

• Generalized G-inflation: Inflation with the most general second-order field equations
• Healthy theories beyond Horndeski
• Inflationary spacetimes are not past-complete
• Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
• Ekpyrotic and Cyclic Cosmology
• Eternal inflation and the initial singularity
• G-Bounce
• Bouncing Universe with Quintom Matter
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Cosmology with Mimetic Matter
• The Null Energy Condition and its violation
• Hamiltonian analysis of higher derivative scalar-tensor theories
• Effective Description of Higher-Order Scalar-Tensor Theories
• Stable bounce and inflation in non-local higher derivative cosmology
• Classically stable non-singular cosmological bounces
• The Effective Field Theory of nonsingular cosmology
• Generalized Galileons: instabilities of bouncing and Genesis cosmologies and modified Genesis
• Fully stable cosmological solutions with a non-singular classical bounce
• Covariant Horava-like and mimetic Horndeski gravity: cosmological solutions and perturbations
• Resolving Cosmological Singularities
• Stability of Geodesically Complete Cosmologies
• Possible Explanation to Low CMB Quadrupole
• The Effective Field Theory of nonsingular cosmology: II
• Nonsingular Universes in Gauss-Bonnet Gravity's Rainbow
• Instabilities in Mimetic Matter Perturbations
• NEC violation in mimetic cosmology revisited
• Inflation in string-inspired cosmology and suppression of CMB low multipoles
• Healthy imperfect dark matter from effective theory of mimetic cosmological perturbations

Cited by in corpus (84)

• Horndeski theory and beyond: a review
• Dark Energy and Modified Gravity in Degenerate Higher-Order Scalar-Tensor (DHOST) theories: a review
• Is the Hubble tension a hint of AdS phase around recombination?
• Alive and well: mimetic gravity and a higher-order extension in light of GW170817
• Mimicking dark matter and dark energy in a mimetic model compatible with GW170817
• The effective field theory approach of teleparallel gravity, $f(T)$ gravity and beyond
• DHOST Bounce
• Higher Derivative Mimetic Gravity
• Primordial black holes from null energy condition violation during inflation
• Bounce beyond Horndeski with GR asymptotics and $\gamma$-crossing
• Scalar and Tensor Perturbations in DHOST Bounce Cosmology
• Intermittent null energy condition violations during inflation and primordial gravitational waves
• Nonsingular cosmological models with strong gravity in the past
• A non-singular bouncing cosmology in $f(R,T)$ gravity
• Pulsar timing array observations as possible hints for nonsingular cosmology
• Reconstructing Horndeski models from the effective field theory of dark energy
• Behind Horndeski: Structurally Robust Higher Derivative EFTs
• Genesis with general relativity asymptotics in beyond Horndeski theory
• Pre-inflation and Trans-Planckian Censorship
• Primordial perturbations with pre-inflationary bounce
• Higher order derivative coupling to gravity and its cosmological implications
• No static sphericaly symmetric wormholes in Horndeski theory
• More about stable wormholes in beyond Horndeski theory
• Bounce in GR and higher-order derivative operators
• Null energy condition violation during inflation and pulsar timing array observations
• Generating enhanced parity-violating gravitational waves during inflation with violation of the null energy condition
• Primordial non-Gaussianities of scalar and tensor perturbations in general bounce cosmology: Evading the no-go theorem
• Improved DHOST Genesis
• Bouncing cosmology in extended gravity and its reconstruction as dark energy model
• Generating enhanced primordial GWs during inflation with intermittent violation of NEC and diminishment of GW propagating speed
• Obviating PBH overproduction for SIGWs generated by Pulsar Timing Arrays in loop corrected EFT of bounce
• Can non-minimal coupling restore the consistency condition in bouncing universes?
• Horndeski genesis: consistency of classical theory
• Implication of GW170817 for cosmological bounces
• Subluminal cosmological bounce beyond Horndeski
• Positivity in the effective field theory of cosmological perturbations
• Spectrum of Cuscuton Bounce
• Bouncing Cosmology in VCDM
• Stable Cosmic Time Crystals
• Generating cosmological perturbations in non-singular Horndeski cosmologies
• Parity-violation in bouncing cosmology
• Perturbations of bounce inflation scenario from $f(T)$ modified gravity revisited
• Perturbative unitarity and NEC violation in genesis cosmology
• Evading the theoretical no-go theorem for nonsingular bounces in Horndeski/Galileon cosmology
• Regularized-Renormalized-Resummed loop corrected power spectrum of non-singular bounce with Primordial Black Hole formation
• Enhance Primordial Black Hole Abundance through the Non-linear Processes around Bounce Point
• Stable cosmological solutions in Horndeski theory
• Superluminality in beyond Horndeski theory with extra scalar field
• One-loop effective action of the IKKT model for cosmological backgrounds
• Perturbations in generalized Galileon theories
• Stable non-singular cosmologies in beyond Horndeski theory and disformal transformations
• Creation of wormholes during the cosmological bounce
• Primordial non-Gaussianity from Galilean Genesis without strong coupling problem
• Towards wormhole beyond Horndeski
• Bouncing cosmology from nonlinear dark energy with two cosmological constants
• Probing signatures of bounce inflation with current observations
• Stability of a viable non-minimal bounce
• Parity violation in primordial tensor non-Gaussianities from matter bounce cosmology
• Eternal Universes
• Constraints on Inflation with Null Energy Condition Violation from Advanced LIGO and Advanced Virgo's First Three Observing Runs
• Banks-Zaks Cosmology, Inflation, and the Big Bang Singularity
• Null energy condition violation and beyond Horndeski physics in light of DESI DR2 data
• Negative non-Gaussianity as a salvager for PBHs with PTAs in bounce
• Detecting a Gravitational-Wave Background from Inflation with Null Energy Condition Violation: Prospects for Taiji
• Higher derivative SVT theories from Kaluza-Klein reductions of Horndeski theory
• Interpreting Pulsar Timing Array data of Gravitational Waves with Ekpyrosis-Bouncing Cosmology
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Global phase space analysis for a class of single scalar field bouncing solutions in general relativity
• Parity-violating primordial gravitational waves from null energy condition violation
• Climbing over the potential barrier during inflation via null energy condition violation
• Healthy Horndeski cosmologies with torsion
• Evolution of Generalized Brans-Dicke parameter within a Superbounce scenario
• Recent Developments in Degenerate Higher Order Scalar Tensor Theories
• Properties of perturbations in beyond Horndeski theories
• Studying G-axion Inflation model in light of PLANCK
• The primordial non-Gaussianities for non-singular Horndeski cosmologies
• Perturbations in Horndeski theory above anisotropic cosmological background
• Universe bouncing its way to inflation
• Constraining matter-bounce scenario from scalar-induced vector perturbations
• Derivative coupling of inflaton to $R^{(3)}$
• Higher order mimetic gravity after GW170817
• Crunching, Bouncing, and Cyclical Cosmologies from Dark Sector Interactions
• Gravitational Waves from Primordial Black Holes formed by Null Energy Condition Violation during Inflation
• RRR fluctuations from non-singular bounce