Metric Relativity and the Dynamical Bridge: highlights of Riemannian geometry in physics
by Mario Novello, Eduardo Bittencourt
Publisher: arXiv 2015
Number of pages: 121
We present an overview of recent developments concerning modifications of the geometry of space-time to describe various physical processes of interactions among classical and quantum configurations. We concentrate in two main lines of research: the Metric Relativity and the Dynamical Bridge.
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by Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the graduate level. Table of contents: Fundamentals; Geodesic congruences; hypersurfaces; Lagrangian and Hamiltonian formulations of general relativity; Black holes.
by Gerard 't Hooft - Rinton Press
The book presents the general relativity as a scheme for describing the gravitational field and the equations it obeys. Starting from physical motivations, curved coordinates are introduced, and then the notion of an affine connection field is added.
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We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy-momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries.
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The author presents the pedagogical introduction to relativistic astrophysics and cosmology, which is based on computational and graphical resources of Maple 6. The knowledge of basics of general relativity and differential geometry is supposed.