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

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

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

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

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

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

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

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

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

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

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

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

13 “... for general relativity and gauge field theory, in the second half. Analysis is included not for its own sake...”

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

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

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

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

18 “..., their use in general relativity and Osserman geometry, half-lightlike submanifolds of semi-Riemannian...”

19 “...Traditionally, Lorentzian geometry has been used as a necessary tool to understand general...”

20 “.... Randers metrics derive from the research on General Relativity Theory and have been applied in many areas...”