Partial Differential Equations of Physics
by Robert Geroch
Publisher: arXiv 1996
Number of pages: 57
Description:
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. Examples of such features include hyperbolicity of the equations, constraints and their roles, how diffeomorphism freedom is manifest, and how interactions between systems arise and operate.
Download or read it online for free here:
Download link
(500KB, PDF)
Similar books
Mass and Angular Momentum in General Relativityby J.L. Jaramillo, E. Gourgoulhon - arXiv
We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.
(9703 views)
Lecture Notes on General Relativityby Sean M. Carroll - University of California
Lecture notes on introductory general relativity for beginning graduate students in physics. Topics include manifolds, Riemannian geometry, Einstein's equations, and three applications: gravitational radiation, black holes, and cosmology.
(15855 views)
The Mathematical Theory of Relativityby Arthur Stanley Eddington - Cambridge University Press
Sir Arthur Eddington here formulates mathematically his conception of the world of physics derived from the theory of relativity. The argument is developed in a form which throws light on the origin and significance of the great laws of physics.
(6317 views)
Gravitational Waves, Sources, and Detectorsby Bernard F Schutz, Franco Ricci - arXiv
Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.
(9582 views)