Primordial power spectra for curved inflating universes

W Handley - Physical Review D, 2019 - APS
Exact numerical primordial primordial power spectra are computed and plotted for the best-
fit Planck 2018 curved universe parameters. It is found that the spectra have generic cutoffs …

Finite inflation in curved space

LT Hergt, FJ Agocs, WJ Handley, MP Hobson… - Physical Review D, 2022 - APS
We investigate the effects of nonzero spatial curvature on cosmic inflation in light of cosmic
microwave background (CMB) anisotropy measurements from the Planck Legacy 2018 …

Constraining regularization ambiguities in Loop Quantum Cosmology via CMB

BF Li, M Motaharfar, P Singh - Physical Review D, 2024 - APS
In order to investigate the potential observational signals of different regularization
ambiguities in loop quantum cosmological models, we systematically compute and compare …

Observational imprints of enhanced scalar power on small scales in ultra slow roll inflation and associated non-Gaussianities

HV Ragavendra, L Sriramkumar - Galaxies, 2023 - mdpi.com
The discovery of gravitational waves from merging binary black holes has generated
considerable interest in examining whether these black holes could have a primordial origin …

A computational approach to solving some applied rigid second-order problems

J Sunday, A Shokri, NM Kamoh, BC Dang… - … and Computers in …, 2024 - Elsevier
When a differential equation exhibits chaos, stiffness, damping and/or oscillation in its
solution component, such a differential equation is termed rigid. Over the years, solving such …

On the simulations of second-order oscillatory problems with applications to physical systems

LJ Kwari, J Sunday, JN Ndam, A Shokri, Y Wang - Axioms, 2023 - mdpi.com
Second-order oscillatory problems have been found to be applicable in studying various
phenomena in science and engineering; this is because these problems have the …

Analytical approximations for curved primordial power spectra

A Thavanesan, D Werth, W Handley - Physical Review D, 2021 - APS
We extend the work of Contaldi et al.[J. Cosmol. Astropart. Phys. 07 (2003) 002. JCAPBP
1475-7516 10.1088/1475-7516/2003/07/002] and derive analytical approximations for …

Quantum initial conditions for curved inflating universes

MI Letey, Z Shumaylov, FJ Agocs, WJ Handley… - Physical Review D, 2024 - APS
We discuss the challenges of motivating, constructing, and quantizing a canonically
normalized inflationary perturbation in spatially curved universes. We show that this has …

Phase function methods for second order linear ordinary differential equations with turning points

J Bremer - Applied and Computational Harmonic Analysis, 2023 - Elsevier
It is well known that second order linear ordinary differential equations with slowly varying
coefficients admit slowly varying phase functions. This observation is the basis of the …

An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost

FJ Agocs, AH Barnett - SIAM Journal on Numerical Analysis, 2024 - SIAM
We introduce an efficient numerical method for second-order linear ODEs whose solution
may vary between highly oscillatory and slowly changing over the solution interval. In …