1 “...This book provides an introduction to the mathematics and physics of general relativity, its basic...”

2 “... as related to general relativity. Chapters are based on courses and lectures given at the July 2019...”

3 “...An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian...”

4 Subjects: “...General relativity (Physics)...”

5 Table of Contents: “... Problems -- Mass in general relativity -- Black Holes -- Appendix: Mathematical Concepts for Physicists...”

6 Table of Contents: “... of -Connections of Yang#x2013;Mills Fields -- Geometry of Yang#x2013;Mills -Connections -- General Relativity...”

7 Table of Contents: “...Selected Solutions of Einstein’s Field Equations: Their Role in General Relativity and Astrophysics...”

8 Table of Contents: “... theory -- General relativity as a gauge theory -- On a purely affine formulation of general relativity...”

9 Table of Contents: “... -- XI. Special Relativity -- XII. General Relativity -- Index of Notations...”

10 Table of Contents: “... of Variations. Homogeneous and Symmetric Spaces. General Relativity. Cosmology. Schwarzschild Geometry...”

11 Table of Contents: “... Lightlike hypersurfaces and general relativity -- References -- Author Index...”

12 Table of Contents: “... -- Applications -- Applications in Astronomy -- Applications in General Relativity -- Applications in Differential...”

13 Table of Contents: “... -- Minimal Surfaces -- Some General Relativity -- Matrix Representation of a Clifford Algebra -- Construction...”

14 Table of Contents: “... and a problem in graph theory -- The definition and occurrence of singularities in general relativity...”

15 Table of Contents: “... Classical Domains: — Symplectic Structures in Physics — General Relativity -- The pairing method and bosonic...”

16 Table of Contents: “... The Addition Formula -- § 6.2 Multiplication -- § 6.3 Some Bilinear Relations -- § 6.4 General Relations -- 7...”

17 “... in parabolic geometry and mathematical aspects of general relativity. The chapters are written by leading...”

18 “... and Lorentzian manifolds (in particular, the spacetimes of general relativity) admitting metric (i.e., Killing...”

19 “... applications to geometric mechanics and general relativity. The first part is a concise and self-contained...”

20 “... to classical mechanics, electromagnetism (including circuit theory), general relativity and gauge theory...”