**Introduction to Differential Geometry and General Relativity**

by Stefan Waner

2005**Number of pages**: 138

**Description**:

From the table of contents: distance, open sets, parametric surfaces and smooth functions, smooth manifolds and scalar fields, tangent vectors and the tangent space, contravariant and covariant vector fields, tensor fields, Riemannian manifolds, locally Minkowskian manifolds, covariant differentiation, geodesics and local inertial frames, the Riemann curvature tensor, comoving frames and proper time, the stress tensor and the relativistic stress-energy tensor, three basic premises of general relativity, the Einstein field equations and derivation of Newton's law, the Schwarzschild metric and event horizons, White Dwarfs, neutron stars and black holes.

Download or read it online for free here:

**Download link**

(1.7MB, PDF)

## Similar books

**Foundations of Tensor Analysis for Students of Physics and Engineering With an Introduction to the Theory of Relativity**

by

**Joseph C. Kolecki**-

**Glenn Research Center**

Tensor analysis is useful because of its great generality and compact notation. This monograph provides a conceptual foundation for students of physics and engineering who wish to pursue tensor analysis as part of their advanced studies.

(

**6082**views)

**Gravitational Waves, Sources, and Detectors**

by

**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.

(

**5430**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.

(

**18091**views)

**The Confrontation between General Relativity and Experiment**

by

**Clifford M. Will**-

**arXiv**

The status of experimental tests of general relativity and of theoretical frameworks for analyzing them are reviewed and updated. Tests of general relativity have reached high precision, including the light deflection, the Shapiro time delay, etc.

(

**3435**views)