Cosmological-perturbation equations from the total-angular-momentum formalism

arXiv:2609.36000 · astro-ph.CO · Submitted 2026-09-28 · Read on arXiv

astro-ph.CO

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Trace — 15× in this paper · explained in 2 episodes
• Boltzmann Equation — 11× in this paper · explained in 2 episodes
• Anisotropy — 5× in this paper · explained in 3 episodes
• Anisotropic Cosmic Birefringence — 3× in this paper · explained in 1 episode
• Cosmic Linear Anisotropy Solving System — 2× in this paper
• Quintessence — 2× in this paper · explained in 2 episodes
• Generalization — 1× in this paper · explained in 13 episodes
• Matter Power Spectrum — 1× in this paper · explained in 2 episodes
• Weak Lensing — 1× in this paper · explained in 2 episodes

Sources

• Imprints of Relic Gravitational Waves in Cosmic Microwave Background Radiation
• Constraints with CMB lensing on dark matter decays to massive decay products
• The Cosmic Linear Anisotropy Solving System (CLASS) II: Approximation schemes
• Cross-Correlation of Cosmological Birefringence with CMB Temperature
• Quintessence and the Rest of the World
• Microwave background anisotropies from gravitational waves: the 1+3 covariant approach
• Wigner-Eckart theorem in cosmology: Bispectra for total-angular-momentum waves
• Total Angular Momentum Waves for Scalar, Vector, and Tensor Fields
• Rotation of Linear Polarization Plane and Circular Polarization from Cosmological Pseudoscalar Fields
• De-Rotation of the Cosmic Microwave Background Polarization: Full-Sky Formalism
• A New Solution for the Observed Isotropic Cosmic Birefringence Angle and its Implications for the Anisotropic Counterpart through a Boltzmann Approach
• Including birefringence into time evolution of CMB: current and future constraints
• 3D weak lensing
• A Spherical Harmonic Analysis of Redshift Space
• CMB Anisotropies: Total Angular Momentum Method
• Cosmological perturbations: non-cold relics without the Boltzmann hierarchy
• How to De-Rotate the Cosmic Microwave Background Polarization
• Cosmological perturbations without the Boltzmann hierarchy
• Tensor-induced B modes with no temperature fluctuations
• The Quest for B Modes from Inflationary Gravitational Waves

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