All spacetimes beyond Einstein (Obergurgl Lectures)

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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44 pages, 7 figures, Lectures held for the Elitestudiengang Physik Erlangen and Regensburg at Obergurgl/Austria, September 201

Scientific paper

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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