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This book provides a completely revised and expanded version of the previous classic edition 'General Relativity and Relativistic Astrophysics'. In Part I the foundations of general relativity are thoroughly developed, while Part II is devoted to tests of general relativity and many of its applications. Binary pulsars - our best laboratories for general relativity - are studied in considerable detail. An introduction to gravitational lensing theory is included as well, so as to make the current literature on the subject accessible to readers. Considerable attention is devoted to the study of compact objects, especially to black holes. This includes a detailed derivation of the Kerr solution, Israel's proof of his uniqueness theorem, and a derivation of the basic laws of black hole physics. Part II ends with Witten's proof of the positive energy theorem, which is presented in detail, together with the required tools on spin structures and spinor analysis. In Part III, all of the differential geometric tools required are developed in detail. A great deal of effort went into refining and improving the text for the new edition. New material has been added, including a chapter on cosmology. The book addresses undergraduate and graduate students in physics, astrophysics and mathematics. It utilizes a very well structured approach, which should help it continue to be a standard work for a modern treatment of gravitational physics. The clear presentation of differential geometry also makes it useful for work on string theory and other fields of physics, classical as well as quantum.

...eory is often used as a prototype for other, more intricate constructions to describe forces between elementary particles or other branches of fundamental physics ... General Relativity (Fall, 2012) | The Theoretical Minimum ... . This is why in an introduction to general relativity it is of importance to separate as clearly as possible ... General Relativity is the classical theory that describes the evolution of systems under the e ect of gravity. Its history goes back to 1915 when Einstein postulated that the laws of gravity can be expressed as a system of equations, the so-called Einstein equations. In order Relativity comes in different flavors, as it happens. We spent some time looking at special relativity, so now it's time for the general variety. This ... General relativity - Wikipedia ... . In order Relativity comes in different flavors, as it happens. We spent some time looking at special relativity, so now it's time for the general variety. This is all about the geometry of spacetime, which ... books > General Relativity. This is a textbook on general relativity for upper-division undergraduates majoring in physics, at roughly the same level as Rindler's Essential Relativity or Hartle's Gravity.The book is meant to be especially well adapted for self-study, and answers are given in the back of the book for almost all the problems. General relativity is a theory of space and time. The theory was published by Albert Einstein in 1915. The central idea of general relativity is that space and time are two aspects of spacetime. Spacetime is curved when there is gravity, matter, energy, and momentum. The links between these forces are shown in the Einstein field equations. A central idea in general relativity is the "principle ... General relativity Curved space-time. Curvature of the four-dimensional space-time is the basis of general relativity. A curved space is difficult to conceive particularly the fourth dimension is peculiar. Einstein calls it t=x 4. It seems simpler to consider it as an imaginary number ict where i is the quadratic root of -1 and c the speed of ......