书目名称 | Principles of Electrodynamics and Relativity / Prinzipien der Elektrodynamik und Relativitätstheorie | 编辑 | S. Flügge | 视频video | | 丛书名称 | Handbuch der Physik‘ Encyclopedia of Physics | 图书封面 |  | 描述 | will be "asymptotically integrable", that is to say, if we displace a vector parallel to itself along a closed curve whose total length is proportional to r, then, as we remove the curve to infinity, the change of the vector that results from the circuit about the curve will tend to zero. In the presence of gravitational radiation the total energy will not be con served, because the waves carry some energy with them; analogous statements apply to the linear momentum, etc. But that is not all; if there is no coordinate 2 system in which the field strengths drop off as 1/r , then there is no possibility to generate out of one vector" at infinity" a whole field of parallel vectors" at infinity". Thus we are unable in the presence of radiation to define, even at infinity, a "rigid displacement", the type of coordinate transformation that is presumably generated by the energy integral. Under these circumstances it is very difficult to see how one can define the "free vector" energy -linear momen tum in a convincing manner. These ambiguities of course do not imply that general relativity lacks quan tities that obey equations of continuity; rather, general relativity suffers in this re | 出版日期 | Book 1962 | 关键词 | Dynamik; Electromagnetism; Elektrodynamik; Principles of Electrodynamics and Relativity; Relativitätsthe | 版次 | 1 | doi | https://doi.org/10.1007/978-3-642-45973-3 | isbn_softcover | 978-3-642-45975-7 | isbn_ebook | 978-3-642-45973-3Series ISSN 0085-140X Series E-ISSN 2197-4195 | issn_series | 0085-140X | copyright | Springer-Verlag OHG. Berlin · Göttingen · Heidelberg 1962 |
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