Spacetime and Fields
by Nikodem J. Poplawski
Publisher: arXiv 2009
Number of pages: 114
Description:
We present a self-contained introduction to the classical theory of spacetime and fields. The order of the presentation is: 1. Spacetime (tensors, affine connection, curvature, metric, tetrad and spin connection, Lorentz group, spinors), 2. Fields (principle of least action, action for gravitational field, matter, symmetries and conservation laws, gravitational field equations, spinor fields, electromagnetic field).
Download or read it online for free here:
Download link
(890KB, PDF)
Similar books
Treatise on Differential Geometry and its role in Relativity Theoryby Subenoy Chakraborty - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(1503 views)
Beyond partial differential equations: A course on linear and quasi-linear abstract hyperbolic evolution equationsby Horst R. Beyer - arXiv
This course introduces the use of semigroup methods in the solution of linear and nonlinear (quasi-linear) hyperbolic partial differential equations, with particular application to wave equations and Hermitian hyperbolic systems.
(12598 views)
Introduction to relativistic astrophysics and cosmology through Mapleby V. L. Kalashnikov - arXiv
The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.
(15129 views)
Introduction to General Relativityby Gerard 't Hooft - 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.
(13290 views)