Cosmological perturbations across a curvature bounce

Abstract

String-inspired cosmologies, whereby a non-singular curvature bounce is induced by a general-covariant, $T$-duality-invariant, non-local dilaton potential, are used to study numerically how inhomogeneities evolve and to compare the outcome with analytic expressions obtained through different matching conditions across the bounce. Good agreement is found if continuity across the bounce is assumed to hold for $\mathcal{R}$, the curvature perturbation on comoving hypersurfaces, rather than for the Bardeen potential.

36 pages, 5 included figures

References in corpus (6)

• Cosmological Perturbations from a New-Physics Hypersurface
• Perturbations in a non-singular bouncing Universe
• Parametric amplification of metric fluctuations through a bouncing phase
• Cosmological perturbations and the transition from contraction to expansion
• Study of a Class of Four Dimensional Nonsingular Cosmological Bounces
• Constraints on pre-big bang parameter space from CMBR anisotropies

Cited by in corpus (57)

• Inflation Dynamics and Reheating
• A Critical Review of Classical Bouncing Cosmologies
• Non-Singular Bouncing Universes in Loop Quantum Cosmology
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• No compelling cosmological models come out of magnetic universes which are based in nonlinear electrodynamics
• Primordial backgrounds of relic gravitons
• A classical bounce: constraints and consequences
• Theoretical tools for CMB physics
• Vector Perturbations in a Contracting Universe
• Scalar perturbations in regular two-component bouncing cosmologies
• S-brane to thermal non-singular string cosmology
• A solution to the anisotropy problem in bouncing cosmologies
• Regular two-component bouncing cosmologies and perturbations therein
• Bounce cosmology in generalized modified gravities
• Observable gravitational waves in pre-big bang cosmology: an update
• Cosmological Perturbations Across an S-brane
• Double Field Theory Inspired Cosmology
• Dynamical back-reaction of relic gravitons
• Construct ${\alpha }^{\prime }$ corrected or loop corrected solutions without curvature singularities
• Fluctuations of inflationary magnetogenesis
• K-Bounce
• The fate of Schwarzschild-de Sitter Black Holes in $f(R)$ gravity
• General solution for scalar perturbations in bouncing cosmologies
• Non-singular pre-big bang scenarios from all-order ${\alpha }^{\prime }$ corrections
• Vector fluctuations from multidimensional curvature bounces
• $\mathbf{O}(D,D)$ completion of the Friedmann equations
• 4+1 dimensional homogeneous anisotropic string cosmological models
• Perturbations in a regular bouncing Universe
• Cosmologies from higher-order string corrections
• The symmetries of inflationary magnetogenesis and the plasma initial conditions
• Revisit relic gravitational waves based on the latest CMB observations
• Primordial Black Holes from Pre-Big Bang inflation
• Resolving naked singularities in ${\alpha }^{\prime }$-corrected string theory
• Averaged Energy Conditions and Bouncing Universes
• Evolution of linear perturbations through a bouncing world model: Is the near Harrison-Zel'dovich spectrum possible via a bounce?
• Why CMB physics?
• Constraints on the production of primordial magnetic seeds in pre-big bang cosmology
• The string wave function across a Kasner singularity
• Stringy bounces and gradient instabilities
• From pre- to post-big bang: an (almost) self-dual cosmological history
• Non-local dilaton coupling to dark matter: cosmic acceleration and pressure backreaction
• Flow in Cyclic Cosmology
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Rotational inhomogeneities from pre-big bang?
• Relic gravitons on Kasner-like branes
• Fluid phonons and inflaton quanta at the protoinflationary transition
• Curvature perturbations from dimensional decoupling
• Three dimensional regular black string via loop corrections
• Pre-Big Bang Scenario on Self-T-Dual Bouncing Branes
• Perturbations in $\mathbf{O}(D,D)$ string cosmology from double field theory
• Self-T-Dual Brane Cosmology and the Cosmological Constant Problem
• Covariant perturbations through a simple non-singular bounce
• String theory and primordial cosmology
• Two non-perturbative ${\alpha }^{\prime }$ corrected or loop corrected string cosmological solutions
• Black hole solutions in double field theory
• Exact Cosmological Solutions of 4D String Gravity in the String Frame
• A simple example of "non-minimal" Pre-Big Bang scenario