Lecture Notes on General Relativity by Columbia University
Lecture Notes on General Relativity by Columbia University
Lecture Notes on General Relativity by Columbia University
This book covers the following topics: Special Relativity,
Lorentzian Geometry, Introduction to General Relativity, Null Structure
Equations, Applications to Null Hypersurfaces, Christodoulou’s Memory Effect,
Black Holes, Lagrangian Theories and the Variational Principle, Hyperbolic
Equations and Wave Propagation on Black Holes.
This note explains the following topics: Special relativity, Prelude to
general relativity, Differential geometry and tensor calculus, Curvature and
general relativity.
Author(s): Dr. Juan A. Valiente Kroon,University of
London
The contents of this lecture notes are : Preliminaries,
Differential geometry, Physical laws in curved spacetimes, The Schwarzschild
solution and classic tests of GR, Cosmology, Singularities and geodesic
incompleteness, Linearized theory and gravitational waves.
This book explains the following
topics: Frames of Reference, Newtonian Relativity, Einsteinian Relativity,
Geometry of Flat Spacetime, Electrodynamics in Special Relativity.