**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

**Neutrosophic Methods in General Relativity**

by

**D. Rabounski, F. Smarandache, L. Borissova**-

**Hexis**

Neutrosophy is a theory developed by Florentin Smarandache in 1995, which studies the nature and properties of neutralities. This book applies neutrosophic method to the General Theory of Relativity, aiming to discover new effects hidden before.

(

**4551**views)

**General Relativity Without Calculus**

by

**Jose Natario**-

**Springer**

This book was written as a guide for a one week course aimed at exceptional students in their final years of secondary education. The course was intended to provide a quick but nontrivial introduction to Einstein's general theory of relativity.

(

**5315**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.

(

**5116**views)

**Spacetime Geometry and General Relativity**

by

**Neil Lambert**-

**King's College London**

This course is meant as introduction to what is widely considered to be the most beautiful and imaginative physical theory ever devised: General Relativity. It is assumed that you have a reasonable knowledge of Special Relativity as well as tensors.

(

**4978**views)