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Titlebook: General Relativity for Mathematicians; Rainer K. Sachs,Hung-Hsi Wu Textbook 1977 Springer-Verlag, New York Inc. 1977 Manifold.Relativity.R

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发表于 2025-3-21 19:32:21 | 显示全部楼层 |阅读模式
书目名称General Relativity for Mathematicians
编辑Rainer K. Sachs,Hung-Hsi Wu
视频video
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: General Relativity for Mathematicians;  Rainer K. Sachs,Hung-Hsi Wu Textbook 1977 Springer-Verlag, New York Inc. 1977 Manifold.Relativity.R
描述This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva­ tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back­ ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an ency
出版日期Textbook 1977
关键词Manifold; Relativity; Relativitätstheorie; general relativity; geometry; mathematics
版次1
doihttps://doi.org/10.1007/978-1-4612-9903-5
isbn_softcover978-1-4612-9905-9
isbn_ebook978-1-4612-9903-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag, New York Inc. 1977
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发表于 2025-3-21 23:43:55 | 显示全部楼层
Spacetimes,lity are introduced. Spacetimes are then defined and several examples of spacetimes important in physics are discussed. These examples will be everywhere dense in this book and we urge the reader to master them before proceeding further.
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Observers,s observations in roughly the following form: “If Newtonian physics were valid, this would be the most obvious explanation of my results”. For example, the statement that the earth is about 93 million miles from the sun implicitly assumes (an amazing amount of) Newtonian physics. Presented with obse
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Photons,ightlike objects—vectors, curves, submanifolds, and so on—used in interpreting photon observations. Throughout the chapter, (., .) is a spacetime. We shall say a curve .:. → . goes . iff . = [., .], . = . and . = ..
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Optional exercises: relativity,, and require no physics background beyond the freshman level. This and the next chapter are primarily intended to round out our presentation somewhat by outlining some topics that fail to meet one or more of these criteria. (., .) is a spacetime throughout this chapter.
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0072-5285 rical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an ency978-1-4612-9905-9978-1-4612-9903-5Series ISSN 0072-5285 Series E-ISSN 2197-5612
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https://doi.org/10.1007/978-3-030-04598-2lity are introduced. Spacetimes are then defined and several examples of spacetimes important in physics are discussed. These examples will be everywhere dense in this book and we urge the reader to master them before proceeding further.
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