Mathematics of Relativity: Lecture Notes
by G. Y. Rainich
Publisher: Edwards Brothers 1932
Number of pages: 222
We may consider Geometry as a first attempt at a study of the outside world. It may be considered as a deductive system which reflects (in the sense explained above, that is of the existence of a correspondence, etc.) very well our experiences with some features of the outside world, namely features connected with the displacements of what we call rigid bodies. We see at once how much is left out in such a study; in the first place, time is almost entirely left out: in trying to bring into coincidence two triangles we are not interested in whether we move one slowly or rapidly; in describing a circle we are not concerned with uniformity of motion.
Home page url
Download or read it online for free here:
by Matej Pavsic - arXiv
This a book is for those who would like to learn something about special and general relativity beyond the usual textbooks, about quantum field theory, the elegant Fock-Schwinger-Stueckelberg proper time formalism, and much more.
by Francois Dehouck - arXiv
This thesis deals with the construction of conserved charges for asymptotically flat spacetimes at spatial infinity in four spacetime dimensions in a pedagogical way. It highlights the difficulties with understanding the gravitational duality...
by Frederic P. Schuller - arXiv
Which geometries on a smooth manifold can serve as a spacetime structure? This question is comprehensively addressed from first principles, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold.
by Roy McWeeny - Learning Development Institute
This book goes back to the work of the philosophers and astronomers of two thousand years ago; and it extends to that of Einstein, whose work laid the foundations for our present-day ideas about the nature of space itself.