Plane waves in a general Robertson-Walker background
arXiv:astro-ph/0206010 · doi:10.1088/0264-9381/20/23/015
Abstract
We present an exact solution for the plane wave mode functions of a massless, minimally coupled scalar propagating in an arbitrary homogeneous, isotropic and spatially flat geometry. Our solution encompasses all previous solvable special cases such as de Sitter and power law expansion. Moreover, it can generate the mode functions for gravitons. We discuss some of the many applications that are now possible.
11 pages, revtex4, no figures, version 3 is vastly expanded (from 57 eqns to 166) to give an explicit expression for the transfer matrix, and to expand it in the ultraviolet and the infrared. We use the infrared limit to give an improved result for the gravitational wave contribution to CMB anisotropies
References in corpus (8)
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
- MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
- First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
- Multiple Peaks in the Angular Power Spectrum of the Cosmic Microwave Background: Significance and Consequences for Cosmology
- Improved Estimates of Cosmological Perturbations
- Energy-Momentum Tensor of Field Fluctuations in Massive Chaotic Inflation
- General plane wave mode functions for scalar-driven cosmology
Cited by in corpus (19)
- Improved Estimates of Cosmological Perturbations
- Production of Massless Fermions during Inflation
- Infrared Propagator Corrections for Constant Deceleration
- De Sitter Breaking through Infrared Divergences
- Perturbative Quantum Gravity Comes of Age
- Improved WKB analysis of cosmological perturbations
- Yukawa Scalar Self-Mass on a Conformally Flat Background
- Transforming to Lorentz Gauge on de Sitter
- A Simplified Quantum Gravitational Model of Inflation
- Fermion Propagator in Cosmological Spaces with Constant Deceleration
- Issues Concerning Loop Corrections to the Primordial Power Spectra
- Late-time backreaction from inflationary fluctuations of a non-minimally coupled massless scalar
- Late-time quantum backreaction of a very light nonminimally coupled scalar
- Regulating the infrared by mode matching: A massless scalar in expanding spaces with constant deceleration
- Generalizing Starobinskii's Formalism to Yukawa Theory & to Scalar QED
- General plane wave mode functions for scalar-driven cosmology
- Computing the Primordial Power Spectra Directly
- Primordial Density Perturbations and Reheating from Gravity
- Radiative corrections to scalar masses in de Sitter space