Presents an observer-explicit diagnostic framework that separates inhomogeneity, expansion variance, shear, and Weyl curvature contributions in cosmological solutions of Einstein's equations, tested on six benchmark families with public code.
Gauge-invariant cosmological perturbations
6 Pith papers cite this work. Polarity classification is still indexing.
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A new complete gauge fixing at initial data via Hodge decomposition on complete Riemannian manifolds enables existence proofs for Hadamard states in the quantization of Maxwell theory on globally hyperbolic Lorentzian manifolds.
Conformal and scale-invariant gravity theories in d dimensions have distinct properties from 4D analogues, enabled by a new formulation method.
Updated Planck CMB measurements give ns = 0.9649 ± 0.0042, r < 0.056, confirm flatness at 0.4 percent, and show no evidence for scale-dependent features or non-slow-roll dynamics in the inflaton potential.
Lecture notes deriving gravitational wave physics from first principles in general relativity for PhD and advanced MSc students.
Lecture notes providing a generic introduction to reheating after inflation, covering its theoretical, phenomenological, and observational aspects.
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Planck 2018 results. X. Constraints on inflation
Updated Planck CMB measurements give ns = 0.9649 ± 0.0042, r < 0.056, confirm flatness at 0.4 percent, and show no evidence for scale-dependent features or non-slow-roll dynamics in the inflaton potential.