Relativity, gravitation and cosmology. A basic introduction
Abstract
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 fourdimensional spacetime, the principle of equivalence, Riemannian geometry and tensor analysis, Einstein's field equations 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, cosmic microwave anisotropy to the "dark energy" that propels an accelerating universe. Mathematical accessibility, together with the various pedagogical devices (e.g., workedout solutions of chapterend problems), make it practical for interested readers to use the book to study general relativity and cosmology on their own.
 Publication:

Relativity
 Pub Date:
 2005
 Bibcode:
 2005rgc..book.....C
 Keywords:

 Relativity;
 Gravitation;
 Cosmology