Vector and Tensor Contributions to the Luminosity Distance

Abstract

We compute the vector and tensor contributions to the luminosity distance fluctuations in first order perturbation theory and we expand them in spherical harmonics. This work presents the formalism with a first application to a stochastic background of primordial gravitational waves.

14 pages, 3 figures

References in corpus (18)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• The Hubble Space Telescope Cluster Supernova Survey: V. Improving the Dark Energy Constraints Above z>1 and Building an Early-Type-Hosted Supernova Sample
• The High-Z Supernova Search: Measuring Cosmic Deceleration and Global Cur vature of the Universe Using Type Ia Supernovae
• Spectra and Light Curves of Six Type Ia Supernovae at 0.511 < z < 1.12 and the Union2 Compilation
• Seven-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Power Spectra and WMAP-Derived Parameters
• The cosmological gravitational wave background from primordial density perturbations
• Extended Limber Approximation
• Correlated Fluctuations in Luminosity Distance and the (Surprising) Importance of Peculiar Motion in Supernova Surveys
• Nonparametric Dark Energy Reconstruction from Supernova Data
• Fluctuations of the luminosity distance
• Lemaitre-Tolman-Bondi model and accelerating expansion
• Dipole of the luminosity distance: a direct measure of H(z)
• Lensing and caustic effects on cosmological distances
• Backreaction on the luminosity-redshift relation from gauge invariant light-cone averaging
• Vector modes generated by primordial density fluctuations
• CMB anisotropies caused by gravitational waves: A parameter study
• Back Reaction from Walls

Cited by in corpus (21)

• Beyond the Linear-Order Relativistic Effect in Galaxy Clustering: Second-Order Gauge-Invariant Formalism
• Interpretation of the Hubble diagram in a nonhomogeneous universe
• The second-order luminosity-redshift relation in a generic inhomogeneous cosmology
• N-body methods for relativistic cosmology
• Total Angular Momentum Waves for Scalar, Vector, and Tensor Fields
• Nonlinear relativistic corrections to cosmological distances, redshift and gravitational lensing magnification. II - Derivation
• The luminosity distance-redshift relation up to second order in the Poisson gauge with anisotropic stress
• A new approach to the propagation of light-like signals in perturbed cosmological backgrounds
• Does small scale structure significantly affect cosmological dynamics?
• Swiss-cheese models and the Dyer-Roeder approximation
• Anisotropic expansion and SNIa: an open issue
• Light propagation in inhomogeneous and anisotropic cosmologies
• Studying the precision of ray tracing techniques with Szekeres models
• General Relativistic Corrections to the Weak Lensing Convergence Power Spectrum
• The Local Value of $H_0$ in an Inhomogeneous Universe
• Second-order gauge-invariant formalism for the cosmological observables: Complete verification of their gauge-invariance
• The Cosmological Perturbation Theory on the Geodesic Light-Cone background
• Gravitational wave cosmology I: high frequency approximation
• Lightcone Averaging and Precision Cosmology
• Observable Gravitational Wave Strain at Second Order
• The gauge invariant cosmological Jacobi map from weak lensing at leading order