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: Space - Time - MatterSpace - Time - Matter
by - Methuen & Co.
A classic of physics -- the first systematic presentation of Einstein's theory of relativity. Long one of the standard texts in the field, this excellent introduction probes deeply into Einstein's general relativity, gravitational waves and energy.
(9022 views)
Book cover: Dynamical and Hamiltonian Formulation of General RelativityDynamical and Hamiltonian Formulation of General Relativity
by - arXiv.org
This text introduces the reader to the reformulation of Einstein's field equations of General Relativity as a constrained evolutionary system of Hamiltonian type and discusses some of its uses, together with some technical and conceptual aspects.
(5029 views)
Book cover: Introduction to General RelativityIntroduction to General Relativity
by - Rinton Press
The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.
(13782 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.
(11677 views)