General Relativity (Paperback, 2, 2013)

From the Contents: Part I The General Theory of Relativity.- Introduction.- Physics in External Gravitational Fields.- Einstein's Field Equations .- Part II Applications of General Relativity.- The Schwarzschild Solution and Classical Tests of General Relativity.- Weak Gravitational Fields.- The Post-Newtonian Approximation.- White Dwarfs and Neutron Stars.- Black Holes.- The Positive Mass Theorem.- Essentials of Friedmann-Lema itre Models.- Part III Differential Geometry.- Differentiable Manifolds.- Tangent Vectors, Vector and Tensor Fields.- The Lie Derivative.- Differential Forms.- Affine Connections.- Some Details and Supplements.