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Four-force
About: Four-force is a research topic. Over the lifetime, 3459 publications have been published within this topic receiving 87308 citations.
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Book•
29 Apr 2004
TL;DR: In this article, the Lorentz group is used to construct curvature structures in space-time holonomy curvature collineations and sectional curvature structure in general relativity affine symmetries.
Abstract: Introduction topological spaces groups and linear algebra manifold theory transformation groups the Lorentz group general relativity theory space-time holonomy curvature structure in general relativity affine symmetries in space-time conformal symmetries in space-time curvature collineations sectional curvature structure.
358 citations
Book•
01 Jan 2005
TL;DR: In this article, the authors discuss the history of the Lorentz transformations in special relativity and quantum theory, including the trailblazers of Albert Keinstein and his followers.
Abstract: 1 Overview 2 The physics of coordinate transformations 3 The relativity principle and the fable of Albert Keinstein 4 The trailblazers 5 Einstein's principle-theory route to the Lorentz transformations 6 Variations on the Einstein theme 7 Unconventional voices on special relativity 8 What is special relativity? 9 The view from general relativity APPENDICES A Einstein on general covariance B Special relativity and quantum theory
345 citations
TL;DR: In this article, a number of theorems and definitions which are useful in the global analysis of relativistic world models are presented, and it is shown in particular that changes in the topology of spacelike sections can occur if and only if the model is acausal.
Abstract: A number of theorems and definitions which are useful in the global analysis of relativistic world models are presented. It is shown in particular that, under certain conditions, changes in the topology of spacelike sections can occur if and only if the model is acausal. Two new covering manifolds, embodying certain properties of the universal covering manifold, are defined, and their application to general relativity is discussed.
341 citations
332 citations