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Theory of cosmological perturbations in an anisotropic universe

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

This article describes the theory of cosmological perturbations around a homogeneous and anisotropic universe of the Bianchi I type. Starting from a general parameterisation of the perturbed spacetime a la Bardeen, a complete set of gauge invariant variables is constructed. Three physical degrees of freedom are identified and it is shown that, in the case where matter is described by a scalar field, they generalize the Mukhanov-Sasaki variables. In order to show that they are canonical variables, the action for the cosmological perturbations at second order is derived. Two major physical imprints of the primordial anisotropy are identified: (1) a scalar-tensor ``see-saw'' mechanism arising from the fact that scalar, vector and tensor modes do not decouple and (2) an explicit dependence of the statistical properties of the density perturbations and gravity waves on the wave-vector instead of its norm. This analysis extends, but also sheds some light on, the quantization procedure that was developed under the assumption of a Friedmann-Lemaitre background spacetime, and allows to investigate the robustness of the predictions of the standard inflationary scenario with respect to the hypothesis on the symmetries of the background spacetime. These effects of a primordial anisotropy may be related to some anomalies of the cosmic microwave background anisotropies on large angular scales.

years

2026 2 2025 1

representative citing papers

Bianchi cosmologies in a Thurston-based theory of gravity

gr-qc · 2025-12-08 · unverdicted · novelty 6.0

In a Thurston-geometry-dependent gravity theory, non-tilted BKS cosmologies admit shear-free perfect-fluid and static vacuum solutions for all topologies, isotropize under positive Lambda except for some Bianchi II cases, and never recollapse when the weak energy condition holds.

Wick-connected theories and Lorentz violation

hep-th · 2026-06-05 · unverdicted · novelty 5.0

Without Lorentz invariance, double Wick rotations connect inequivalent field theories in flat spacetime, with criteria for when propagating modes, unitarity, and renormalizability fail to translate.

citing papers explorer

Showing 3 of 3 citing papers.

  • Multipolar structure of the local expansion rate from incomplete sky data astro-ph.CO · 2026-07-08 · conditional · none · ref 42 · internal anchor

    CF4 data yield a 3.3σ excess dipole in the local expansion-rate fluctuation field at (l,b)=(290°,-4°)±5°, sourced mainly by z∈[0.03,0.05], with quadrupole/octupole consistent with ΛCDM and no multipole-vector alignments.

  • Bianchi cosmologies in a Thurston-based theory of gravity gr-qc · 2025-12-08 · unverdicted · none · ref 38 · internal anchor

    In a Thurston-geometry-dependent gravity theory, non-tilted BKS cosmologies admit shear-free perfect-fluid and static vacuum solutions for all topologies, isotropize under positive Lambda except for some Bianchi II cases, and never recollapse when the weak energy condition holds.

  • Wick-connected theories and Lorentz violation hep-th · 2026-06-05 · unverdicted · none · ref 49 · internal anchor

    Without Lorentz invariance, double Wick rotations connect inequivalent field theories in flat spacetime, with criteria for when propagating modes, unitarity, and renormalizability fail to translate.