**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

**Metric Relativity and the Dynamical Bridge: highlights of Riemannian geometry in physics**

by

**Mario Novello, Eduardo Bittencourt**-

**arXiv**

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...

(

**4028**views)

**Introduction to the Theory of Black Holes**

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.

(

**22282**views)

**Light Rays, Singularities, and All That**

by

**Edward Witten**-

**arXiv.org**

This article is an introduction to causal properties of General Relativity. Topics include the Raychaudhuri equation, singularity theorems of Penrose and Hawking, the black hole area theorem, topological censorship, and the Gao-Wald theorem.

(

**2796**views)

**The Mathematical Theory of Relativity**

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.

(

**4130**views)