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.
Home page url
Download or read it online for free here:
by Peter Dunsby
Contents: the special theory of relativity, vectors and tensors in special relativity, conceptual basis of general relativity, curved space time and general relativity, Einstein's field equations, Schwarzschild's solution.
by Claes Johnson
The book offers an alternative to Einstein's special theory of relativity, with the main purpose of developing a form of relativity, which can be combined with quantum mechanics and thus can open to a unified field theory.
by G. B. Jeffery - Methuen & Company
Contents: The origins of the theory; Michelson-Morley experiment and the Lorentz transformation; Laws of motion and electro-magnetism; Restricted principle of relativity and some consequences; Equivalence hypothesis; Four-dimensional continuum; etc.
by Ludwik Silberstein - D. Van Nostrand
The first six lectures are devoted to Special Relativity, and the remaining ones to Einstein's General Relativity and Gravitation Theory and to relativistic Electromagnetism. Due attention is given to the critically conceptual side of the subject.