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The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the author’s book Die Grundlagen der allgemeinen Relativitätstheorie (The Foundations of the General Theory of Relativity) — Joh. Ambr. Barth, 1916; this book assumes some familiarity with the special theory of relativity. v
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General relativity is the theory of space and time and gravity. The essence of the theory is simple: gravity is geometry. The effects that we attribute to the force of gravity are due to the bending and warping of spacetime, from falling cats, to orbiting spinning planets, to the motion of the cosmos on the grandest scale. The purpose of
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L. Ryder: \Introduction to General Relativity" [21]. B. Schutz, \A rst course in general relativity" [24]. H. Stephani: \An Introduction to Special and General Relativity" [27]. R. M. Wald: \General Relativity" [30]. S. Weinberg: \Gravitation and Cosmology: Principles and Applications of the Gen-eral Theory of Relativity" [31].
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GR is the theory that replaces both Newtonian gravity and special relativity. 1.2 The weak equivalence principle The equivalence principle was an important step in the development of GR.
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The theory which is presented in the following pages conceivably constitutes the farthest-reaching generalization of a theory which, today, is generally called the ”theory of relativity”; I will call the latter one – in order to distinguish it from the first named – the ”special theory of relativity”, which I assume to be known.
Theory of Relativity, (New York: John Wiley) What is now the classic reference, but lacking any physical discussions on black holes, and almost nothing on the geometrical interpretation of the equations.
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
