Mathematical Relativity
by José Natário
Publisher: arXiv 2020
Number of pages: 161
Description:
These are lecture notes written for a one-semester course in mathematical relativity aimed at mathematics and physics students. Not meant as an introduction to general relativity, but rather as a complementary, more advanced text.
Download or read it online for free here:
Download link
(1.1MB, PDF)
Similar books
Treatise on Differential Geometry and its role in Relativity Theoryby Subenoy Chakraborty - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(3114 views)
Advanced General Relativityby Sergei Winitzki - Google Sites
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, etc.
(12303 views)
The Confrontation between General Relativity and Experimentby Clifford M. Will - arXiv
The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Tests of general relativity have reached high precision, including the light deflection, the Shapiro time delay, etc.
(7581 views)
Semi-Riemann Geometry and General Relativityby Shlomo Sternberg
Course notes for an introduction to Riemannian geometry and its principal physical application, Einstein’s theory of general relativity. The background assumed is a good grounding in linear algebra and in advanced calculus.
(18517 views)