An Introduction to the Theory of Rotating Relativistic Stars
by Eric Gourgoulhon
Publisher: arXiv 2010
Number of pages: 88
These lecture notes are intended to introduce the theory of rotating stars in general relativity. The focus is put on the theoretical foundations, with a detailed discussion of the spacetime symmetries, the choice of coordinates and the derivation of the equations of structure from Einstein equation. The global properties of rotating stars (mass, angular momentum, redshifts, orbits, etc.) are also introduced.
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by Gerard 't Hooft - Utrecht University
Contents: The Metric of Space and Time; Curved coordinates; A short introduction to General Relativity; Gravity; The Schwarzschild Solution; The Chandrasekhar Limit; Gravitational Collapse; The Reissner-Nordstrom Solution; Horizons; and more.
by P.K. Townsend - arXiv
Notes for a course taught in part III of the Cambridge University Mathematical Tripos: gravitational collapse, Schwarzschild black hole, charged black holes; rotating black holes; energy and angular momentum; black hole mechanics; Hawking radiation.
by Andreas Schmitt - arXiv
Cold and dense nuclear and quark matter can be found in the interior of compact stars. The author gives a pedagogical introduction to microscopic calculations based on phenomenological models, effective theories, and perturbative QCD.
by George W. Collins, II - Pachart Pub. House
The virial theorem is extremely powerful in understanding problems of stellar astrophysics, but it is also poorly understood by many who study the subject. This book should be viewed as a guided introduction, punctuated by a few examples.