Logo

Introduction to Differential Geometry and General Relativity

Small book cover: Introduction to Differential Geometry and General Relativity

Introduction to Differential Geometry and General Relativity
by


Number of pages: 138

Description:
From the table of contents: distance, open sets, parametric surfaces and smooth functions, smooth manifolds and scalar fields, tangent vectors and the tangent space, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, geodesics and local inertial frames, the Riemann curvature tensor, comoving frames and proper time, the stress tensor and the relativistic stress-energy tensor, three basic premises of general relativity, the Einstein field equations and derivation of Newton's law, the Schwarzschild metric and event horizons, White Dwarfs, neutron stars and black holes.

Download or read it online for free here:
Download link
(1.7MB, PDF)

Similar books

Book cover: The Confrontation between General Relativity and ExperimentThe Confrontation between General Relativity and Experiment
by - 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.
(7311 views)
Book cover: Advanced General RelativityAdvanced General Relativity
by - 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.
(11978 views)
Book cover: An Advanced Course in General RelativityAn Advanced Course in General Relativity
by - University of Guelph
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.
(12232 views)
Book cover: General Relativity NotesGeneral Relativity Notes
by - MIT
Working with GR requires some understanding of differential geometry. In this text we will develop the essential mathematics needed to describe physics in curved spacetime. These notes assume familiarity with special relativity.
(11727 views)