Giulini, Domenico (2015) Energy-Momentum Tensors and Motion in Special Relativity. Springer Verlag, Heidelberg.
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Abstract
The notions of ``motion'' and ``conserved quantities'', if applied to extended objects, are already quite non-trivial in Special Relativity. This contribution is meant to remind us on all the relevant mathematical structures and constructions that underlie these concepts, which we will review in some detail. Next to the prerequisites from Special Relativity, like Minkowski space and its automorphism group, this will include the notion of a body in Minkowski space, the momentum map, a characterisation of the habitat of globally conserved quantities associated with Poincare symmetry -- so called Poincare charges --, the frame-dependent decomposition of global angular momentum into Spin and an orbital part, and, last not least, the likewise frame-dependent notion of
centre of mass together with a geometric description
of the Moeller Radius, of which we also list some typical
values.
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| Item Type: | Other | ||||||
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| Keywords: | special relativity, motion, conserved quantities | ||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Depositing User: | Domenico Giulini | ||||||
| Date Deposited: | 24 Feb 2015 14:50 | ||||||
| Last Modified: | 24 Feb 2015 14:50 | ||||||
| Item ID: | 11339 | ||||||
| Journal or Publication Title: | Equations of Motion in Relativistic Gravity | ||||||
| Publisher: | Springer Verlag | ||||||
| Official URL: | http://www.springer.com/series/6001 | ||||||
| Subjects: | Specific Sciences > Physics > Fields and Particles Specific Sciences > Physics > Relativity Theory Specific Sciences > Physics > Symmetries/Invariances |
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| Date: | 2015 | ||||||
| URI: | https://philsci-archive.pitt.edu/id/eprint/11339 |
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