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.

Autorentext

Ermis Mitsou studied Physics and Mathematics and holds a Ph.D. in Theoretical Physics from the University of Geneva. His first postdoctoral research position was at Columbia University in the City of New York, and he and is currently a postdoctoral researcher at the University of Zurich.

Prof. Jaiyul Yoo received his Ph.D. from the Ohio State University in 2007. He was a postdoc at Harvard University, UC Berkeley and the University of Zurich, before joining the faculty at the University of Zurich in 2014. He received a European Research Council Consolidator grant in 2015 (PE9 Universe Science).

Inhalt

Introduction and Summary.- Motivation.- Mathematical Framework.- Observer Space-Time Formalism.- General-Relativistic Matrix Kinetic Theory.