Cutting out the cosmological middle man: general relativity in the light-cone coordinates

DOI10.1088/1361-6382/abd681OpenAlexW3116841211WikidataQ126077010 ScholiaQ126077010MaRDI QIDQ5162534

Ermis Mitsou, Giuseppe Fanizza, Nastassia Grimm, Jaiyul Yoo

Publication date: 2 November 2021

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2009.14687

zbMATH Keywords

general relativitycosmological perturbation theorycosmological observables

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Hyperbolic conservation laws (35L65) Gravitational energy and conservation laws; groups of motions (83C40) Perturbations in context of PDEs (35B20) Propagation of singularities; initial value problems on manifolds (58J47) Special bases (entangled, mutual unbiased, etc.) (81P55)

Related Items (11)

Second-order gauge-invariant formalism for the cosmological observables: complete verification of their gauge-invariance ⋮ Large gauge transformations, local coordinates and cosmological observables ⋮ The spatial gauge-dependence of single-field inflationary bispectra ⋮ Covariant decomposition of the non-linear galaxy number counts and their monopole ⋮ Synchronous coordinates and gauge-invariant observables in cosmological spacetimes ⋮ The gauge invariant cosmological Jacobi map from weak lensing at leading order ⋮ The averaging problem on the past null cone in inhomogeneous dust cosmologies ⋮ Gauge invariance on the light-cone: curvature perturbations and radiative degrees of freedom ⋮ Cosmological perturbations and invariant observables in geodesic lightcone coordinates ⋮ The cosmological perturbation theory on the Geodesic Light-Cone background ⋮ Linearized propagation equations for metric fluctuations in a general (non-vacuum) background geometry

Cites Work

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• Republication of: The dynamics of general relativity
• Observed angles and geodesic light-cone coordinates
• A numerical relativity scheme for cosmological simulations
• The luminosity distance–redshift relation up to second order in the Poisson gauge with anisotropic stress
• Non-linear general relativistic effects in the observed redshift
• Cosmological information contents on the light-cone
• Fermi Normal Coordinates and Some Basic Concepts in Differential Geometry
• Observation angles, Fermi coordinates, and the Geodesic-Light-Cone gauge

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