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: Semi-Riemann Geometry and General RelativitySemi-Riemann Geometry and General Relativity
by
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.
(19278 views)
Book cover: General Covariance and the Foundations of General RelativityGeneral Covariance and the Foundations of General Relativity
by - University of Pittsburgh
This text reviews the development of Einstein's thought on general covariance (the fundamental physical principle of GTR), its relation to the foundations of general relativity and the evolution of the continuing debate over his viewpoint.
(10598 views)
Book cover: Partial Differential Equations of PhysicsPartial Differential Equations of Physics
by - arXiv
All partial differential equations that describe physical phenomena in space-time can be cast into a universal quasilinear, first-order form. We describe some broad features of systems of differential equations so formulated.
(16853 views)
Book cover: Spacetime and FieldsSpacetime and Fields
by - arXiv
A self-contained introduction to the classical theory of spacetime and fields. Topics: Spacetime (tensors, affine connection, curvature, metric, Lorentz group, spinors), Fields (principle of least action, action for gravitational field, matter, etc)
(10710 views)