Cosmological Perturbation Theory With Background Anisotropic Curvature

Abstract

The theory of cosmological perturbations is extended to spacetimes displaying isotropic expansion but anisotropic curvature. The perturbed Einstein equation and Boltzmann equations for massless and massive particles are derived in a general gauge and a decomposition of perturbations into harmonic modes and moments is proposed. Generalization to the case where anisotropic expansion is also present in the background is discussed.

Updated version: Citation added and a couple of typos in appendices corrected- TGZ

References in corpus (4)

• Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Proof of a decomposition theorem for symmetric tensors on spaces with constant curvature
• Decomposition of geometric perturbations

Cited by in corpus (4)

• An anisotropic universe due to dimension-changing vacuum decay
• Inflationary Perturbations in Anisotropic, Shear-Free Universes
• Cosmological Two-stream Instability
• Cosmology with the 6-degree Field Galaxy Survey