- ホーム
- > 洋書
- > 英文書
- > Science / Mathematics
Full Description
Einstein's general theory of relativity is introduced in this advanced undergraduate and beginning graduate level textbook. Topics include special relativity in the formalism of Minkowski's four-dimensional space-time, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein's field equation and cosmology. The author presents the subject from the very beginning with an emphasis on physical examples and simple applications without the full tensor apparatus. One first learns how to describe curved spacetime. At this mathematically more accessible level, the reader can already study the many interesting phenomena such as gravitational lensing, precession of Mercury's perihelion, black holes, as well as cosmology. The full tensor formulation is presented later, when the Einstein equation is solved for a few symmetric cases. Many modern topics in cosmology are discussed in this book: from inflation and cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., worked-out solutions of chapter-end problems), make it practical for interested readers to use the book to study general relativity, gravitation and cosmology on their own.
Contents
RELATIVITY - METRIC DESCRIPTION OF SPACETIME ; 1. Introduction and overview ; 2. Special relativity and the flat spacetime ; 3. The principle of equivalence ; 4. Metric description of a curved space ; 5. General relativity (GR) as a geometric theory of gravity - I ; 6. Spacetime outside a spherical star ; COSMOLOGY ; 7. The homogenous and isotropic universe ; 8. The expanding universe and thermal relics ; 9. Inflation and the accelerating universe ; RELATIVITY - FULL TENSOR FORMULATION ; 10. Tensors in special relativity ; 11. Tensors in general relativity ; 12. GR as a geometric theory of gravity - II ; 13. Linearized theory and gravitational waves
