Spacetime Geometry and General Relativity
by Neil Lambert
Publisher: King's College London 2011
Number of pages: 48
This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.
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by J.W. van Holten - arXiv
General relativity is outlined as the classical field theory of gravity, emphasizing physical phenomena rather than mathematical formalism. Dynamical solutions representing traveling waves and stationary fields of black holes are discussed.
by Arthur Stanley Eddington - Cambridge University Press
Sir Arthur Eddington here formulates mathematically his conception of the world of physics derived from the theory of relativity. The argument is developed in a form which throws light on the origin and significance of the great laws of physics.
by Eric Gourgoulhon - arXiv
These notes introduce the theory of rotating stars in general relativity. The focus is on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure.
by Nikodem J. Poplawski - arXiv
A self-contained introduction to the classical theory of spacetime and fields. Topics: Spacetime (tensors, affine connection, curvature, metric, Lorentz group, spinors), Fields (principle of least action, action for gravitational field, matter, etc)