Topic
Special relativity (alternative formulations)
About: Special relativity (alternative formulations) is a research topic. Over the lifetime, 3102 publications have been published within this topic receiving 55015 citations.
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01 Jan 1924
TL;DR: In this article, the tensor calculus and the law of gravitation have been studied in a tensor tensor geometry setting, and the authors present a review of the literature.
Abstract: Introduction 1. Elementary principles 2. The tensor calculus 3. The law of gravitation 4. Relativity mechanics 5. Curvature of space and time 6. Electricity 7. World geometry Supplementary notes Bibliography Index.
917 citations
Book•
01 Jan 1985TL;DR: The second edition of this widely-used textbook as mentioned in this paper provides the first step into general relativity for undergraduate students with a minimal background in mathematics, and includes a revised chapter on relativistic stars, including new information on pulsars.
Abstract: Clarity, readability and rigor combine in the second edition of this widely-used textbook to provide the first step into general relativity for undergraduate students with a minimal background in mathematics. Topics within relativity that fascinate astrophysical researchers and students alike are covered with Schutz's characteristic ease and authority - from black holes to gravitational lenses, from pulsars to the study of the Universe as a whole. This edition now contains discoveries by astronomers that require general relativity for their explanation; a revised chapter on relativistic stars, including new information on pulsars; an entirely rewritten chapter on cosmology; and an extended, comprehensive treatment of modern detectors and expected sources. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, whilst the informal writing style makes the subject matter easily accessible. Selected solutions for instructors are available under Resources.
847 citations
TL;DR: In this paper, the field equations of general relativity are applied to pressure-free spherically symmetrical systemsof particles and the equations of motion are determined without the use of approximations and are compared with the Newtonian equations.
Abstract: The field equations of general relativity areapplied to pressure-free spherically symmetrical systemsof particles. The equations of motion are determinedwithout the use of approximations and are compared with the Newtonian equations. The total energyis found to be an important parameter, determining thegeometry of 3-space and the ratio of effectivegravitating to invariant mass. The Doppler shift isdiscussed and is found to contain both the velocity shiftand the Einstein shift combined in a rather complexexpression.
811 citations