Revised translation of: Allgemeine Relativitätstheorie und relativistische Astrophysik.

1. The general theory of relativity: physics in external gravitational fields.-
2. Einstein's field equations.-
3. Applications of general relativity.-
4. The schwarzschild solution and classical tests of general relativity.-
5. Weak gravitational fields.-
6. The post-newtonian approximation.-
7. White dwarfs and neutron stars.-
8. Black holes.-
9. Differential geometry: differentiable manifolds.-
10. Tangent vectors, vector and tensor fields.-
11. The lie derivative.-
12. Differential forms.-
13. Affine connections.-
14. Some details.-
15. References.-
16. Index.