Details
| Original language | English |
|---|---|
| Title of host publication | Equations of Motion in Relativistic Gravity |
| Editors | Dirk Puetzfeld, Claus Lämmerzahl, Bernard Schutz |
| Publisher | Springer Science and Business Media Deutschland GmbH |
| Pages | 121-163 |
| Number of pages | 43 |
| ISBN (electronic) | 978-3-319-18335-0 |
| ISBN (print) | 978-3-319-18334-3, 978-3-319-38670-6 |
| Publication status | Published - 2015 |
Publication series
| Name | Fundamental Theories of Physics |
|---|---|
| Volume | 179 |
| ISSN (Print) | 0168-1222 |
| ISSN (electronic) | 2365-6425 |
Abstract
The notion of “motion” and “conserved quantities”, if applied to extended objects, is 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 Poincaré symmetry—so called Poincaré 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 Møller Radius, of which we also list some typical values. Two Appendices present some mathematical background material on Hodge duality and group actions on manifolds.
Keywords
- Cauchy Surface, Mathematical Background Material, Minkowski Space, Relevant Mathematical Structures, Wordline
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
Cite this
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Equations of Motion in Relativistic Gravity. ed. / Dirk Puetzfeld; Claus Lämmerzahl; Bernard Schutz. Springer Science and Business Media Deutschland GmbH, 2015. p. 121-163 (Fundamental Theories of Physics; Vol. 179).
Research output: Chapter in book/report/conference proceeding › Contribution to book/anthology › Research › peer review
}
TY - CHAP
T1 - Energy-Momentum Tensors and Motion in Special Relativity
AU - Giulini, Domenico
PY - 2015
Y1 - 2015
N2 - The notion of “motion” and “conserved quantities”, if applied to extended objects, is 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 Poincaré symmetry—so called Poincaré 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 Møller Radius, of which we also list some typical values. Two Appendices present some mathematical background material on Hodge duality and group actions on manifolds.
AB - The notion of “motion” and “conserved quantities”, if applied to extended objects, is 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 Poincaré symmetry—so called Poincaré 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 Møller Radius, of which we also list some typical values. Two Appendices present some mathematical background material on Hodge duality and group actions on manifolds.
KW - Cauchy Surface
KW - Mathematical Background Material
KW - Minkowski Space
KW - Relevant Mathematical Structures
KW - Wordline
UR - http://www.scopus.com/inward/record.url?scp=85091405338&partnerID=8YFLogxK
U2 - 10.48550/arXiv.1502.03930
DO - 10.48550/arXiv.1502.03930
M3 - Contribution to book/anthology
AN - SCOPUS:85091405338
SN - 978-3-319-18334-3
SN - 978-3-319-38670-6
T3 - Fundamental Theories of Physics
SP - 121
EP - 163
BT - Equations of Motion in Relativistic Gravity
A2 - Puetzfeld, Dirk
A2 - Lämmerzahl, Claus
A2 - Schutz, Bernard
PB - Springer Science and Business Media Deutschland GmbH
ER -