Advanced General Relativity
by Sergei Winitzki
Publisher: Google Sites 2007
Number of pages: 193
Description:
Topics include: Asymptotic structure of spacetime, conformal diagrams, null surfaces, Raychaudhury equation, black holes, the holographic principle, singularity theorems, Einstein-Hilbert action, energy-momentum tensor, Noether's theorem, tetrad (vierbein) formalism, spinor fields in curved spacetime, Hamiltonian formulation of GR, quantum cosmology.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
Gravitational Waves and Black Holes: an Introduction to General Relativityby 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.
(12458 views)
Gravitational Waves, Sources, and Detectorsby Bernard F Schutz, Franco Ricci - arXiv
Notes of lectures for graduate students, covering the theory of linearized gravitational waves, their sources, and the prospects at the time for detecting gravitational waves. The lectures remain of interest for pedagogical reasons.
(9183 views)
Treatise on Differential Geometry and its role in Relativity Theoryby Subenoy Chakraborty - arXiv.org
These notes will be helpful to undergraduate and postgraduate students in theoretical physics and in applied mathematics. Modern terminology in differential geometry has been discussed in the book with the motivation of geometrical way of thinking.
(2889 views)
Spacetime and Fieldsby 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)
(10047 views)