Analytic Approximations for the Primordial Power Spectrum with Israel Junction Conditions
arXiv:2309.15984 · doi:10.1103/PhysRevD.109.083513
Abstract
This work compares cosmological matching conditions used in approximating generic pre-inflationary phases of the universe. We show that the joining conditions for primordial scalar perturbations assumed by Contaldi et al. are inconsistent with the physically motivated Israel junction conditions, however; performing general relativistic matching with the aforementioned constraints results in unrealistic primordial power spectra. Eliminating the need for ambiguous matching, we look at an alternative semi-analytic model for producing the primordial power spectrum allowing for finite duration cosmological phase transitions.
arXiv comment21 pages, 10 figures. Accepted for publication in PRD
References in corpus (33)
- Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Planck 2018 results. X. Constraints on inflation
- Planck 2013 results. XXII. Constraints on inflation
- Planck 2013 results. XV. CMB power spectra and likelihood
- On the Generation of a Scale-Invariant Spectrum of Adiabatic Fluctuations in Cosmological Models with a Contracting Phase
- Suppressing the lower Multipoles in the CMB Anisotropies
- Curvature tension: evidence for a closed universe
- Steepest growth of the power spectrum and primordial black holes
- On matching conditions for cosmological perturbations
- The primordial curvature perturbation in the ekpyrotic Universe
- On the Spectrum of Fluctuations in an Effective Field Theory of the Ekpyrotic Universe
- The influence of cosmological transitions on the evolution of density perturbations
- Passing through the bounce in the ekpyrotic models
- The failure of cosmological perturbation theory in the new ekpyrotic and cyclic ekpyrotic scenarios
- On the slope of curvature power spectrum in non-attractor inflation
- An analytic approach to non-slow-roll inflation
- Initial state of matter fields and trans-Planckian physics: Can CMB observations disentangle the two?
- Kinetic Initial Conditions for Inflation
- Effects of a pre-inflation radiation-dominated epoch to CMB anisotropy
- Novel quantum initial conditions for inflation
- Constraining the kinetically dominated Universe
- Cosmological matching conditions for gravitational waves at second order
- A case for kinetically dominated initial conditions for inflation
- Energy Conditions and Junction Conditions
- The Inflationary Wavefunction and its Initial Conditions
- Cosmological matching conditions
- Analytical approximations for curved primordial power spectra
- Junction conditions in scalar-tensor theories
- Multiple Inflationary Stages with Varying Equation of State
- In search of an observational quantum signature of the primordial perturbations in slow-roll and ultra slow-roll inflation
- Rapid numerical solutions for the Mukhanov-Sasaki equation
- Adiabatic Media Inflation
- On primordial equation of state transitions