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From reading this article, you will learn: The underlying reasoning behind what general relativity is all about; why we use tensors, how and why gravity has something to do with spacetime curvature as well as what the actual equations of general relativity really tell us in an intuitive sense.
20 Ιουν 2020 · The goal of this chapter is to introduce students to the essential mathematical concepts they will need to understand general relativity, such as intrinsic coordinates, tangent vector space,...
Over the past century, physicists and mathematicians have developed a remarkably compact formalism and notation for work-ing with general relativity, which requires some practice to really get comfortable with. The methods are quite powerful and well worth the investment of e ort.
This article aims to fix that. My goal is to give you a complete step-by-step guide to learn both the special and general theories of relativity without you having to do extensive research on which books to get and where to start.
As an introduction, special relativity is the study of high velocities, those close to the speed of light. Special relativity is based on two fundamental principles; the constancy of the speed of light and the universality of the laws of physics, which lead to the ideas of spacetime and 4-vectors.
The theory of relativity reveals the speed of light as the cosmic speed limit, the mind-bending ideas of time dilation and curvature of spacetime, and what may be the most famous equation in history: E = mc2. Indeed, the theory of relativity shapes much of our modern understanding of the universe. It is not “just a
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
