All Spacetimes Beyond Einstein
by Frederic P. Schuller
Publisher: arXiv 2011
Number of pages: 44
Which geometries on a smooth manifold (apart from Lorentzian metrics) can serve as a spacetime structure? This question is comprehensively addressed from first principles in eight lectures, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold that can carry predictive matter equations, are time-orientable, and allow to distinguish positive from negative particle energies.
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by L. Bolton - E.P. Dutton & Co.
This little book gives a remarkably readable and intelligible account of the theory of relativity. The author is presenting his material without presupposing more than elementary algebra and the elements of plane geometry.
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 Ruslan Sharipov - Samizdat Press
A regular, smooth, and logically consistent introduction to the subject starting with basic facts like Coulomb law and ending with Einstein's theory of gravitation. A book for mathematics students, references to physical intuition are minimized.
This book examines the evolution of the principle of relativity in its classical, special, and general incarnations, with the aim of showing how it has repeatedly inspired advances in our understanding of the physical world.