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 David Waite
This is a textbook on theories of special and general relativity. It is assumed that the reader has an understanding of mathematics through calculus and partial differential equations. The relevant tensor calculus is presented throughout as needed.
by A. A. Logunov - arXiv
In the framework of the special theory of relativity, the relativistic theory of gravitation is constructed. The energy-momentum tensor density of all the matter fields (including gravitational one) is treated as a source of the gravitational field.
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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.
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