© 2020

Tetrad Formalism for Exact Cosmological Observables


Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-viii
  2. Ermis Mitsou, Jaiyul Yoo
    Pages 1-10
  3. Ermis Mitsou, Jaiyul Yoo
    Pages 11-19
  4. Ermis Mitsou, Jaiyul Yoo
    Pages 21-50
  5. Ermis Mitsou, Jaiyul Yoo
    Pages 51-81
  6. Ermis Mitsou, Jaiyul Yoo
    Pages 83-131
  7. Ermis Mitsou, Jaiyul Yoo
    Pages 133-139

About this book


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.


Cosmological Observables Tetrad/Vierbein General Relativity General-Relativstic Matrix Kinetic Theory Boltzmann Equations Cosmological Distances Cosmological Weak Lensing Jacobi Map Galaxy Number Counts Cosmic Microwave Background

Authors and affiliations

  1. 1.Institute for Computational ScienceUniversity of ZurichZürichSwitzerland
  2. 2.Institute for Computational ScienceUniversity of ZurichZürichSwitzerland

About the authors

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).  

Bibliographic information

  • Book Title Tetrad Formalism for Exact Cosmological Observables
  • Authors Ermis Mitsou
    Jaiyul Yoo
  • Series Title SpringerBriefs in Physics
  • Series Abbreviated Title SpringerBriefs in Physics
  • DOI
  • Copyright Information The Author(s), under exclusive license to Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy Physics and Astronomy (R0)
  • Softcover ISBN 978-3-030-50038-2
  • eBook ISBN 978-3-030-50039-9
  • Series ISSN 2191-5423
  • Series E-ISSN 2191-5431
  • Edition Number 1
  • Number of Pages VIII, 139
  • Number of Illustrations 7 b/w illustrations, 0 illustrations in colour
  • Topics Cosmology
    Classical and Quantum Gravitation, Relativity Theory
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