Tetrad Formalism for Exact Cosmological Observables

✍ Scribed by Ermis Mitsou, Jaiyul Yoo

Publisher: Springer International Publishing;Springer
Year: 2020
Tongue: English
Leaves: 144
Series: SpringerBriefs in Physics
Edition: 1st ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

This book presents a novel mathematical formalism, based on the tetrad formulation of differential geometry, for describing cosmological observables exactly and conveniently. It covers all the standard observables, i.e. distances, weak lensing, number counts and cosmic microwave background, and also includes a detailed derivation of general-relativistic matrix kinetic theory. All the fully nonlinear equations are derived in detail and the mathematical content is self-contained, so that readers require only a basic knowledge of general relativity. Moreover, the authors discuss several subtle issues that are usually overlooked in the literature and, in particular, issues that distinguish this formalism from the more approximative standard practice.

✦ Table of Contents

Front Matter ....Pages i-viii
Introduction and Summary (Ermis Mitsou, Jaiyul Yoo)....Pages 1-10
Motivation (Ermis Mitsou, Jaiyul Yoo)....Pages 11-19
Mathematical Framework (Ermis Mitsou, Jaiyul Yoo)....Pages 21-50
Observer Space-Time Formalism (Ermis Mitsou, Jaiyul Yoo)....Pages 51-81
General-Relativistic Matrix Kinetic Theory (Ermis Mitsou, Jaiyul Yoo)....Pages 83-131
Appendix (Ermis Mitsou, Jaiyul Yoo)....Pages 133-139

✦ Subjects

Physics; Cosmology; Classical and Quantum Gravitation, Relativity Theory

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