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Description
  • In this article, we derive source integrals, i.e., quasilocal expressions, for multipole moments in axially symmetric and static spacetimes. Usually, these multipole moments are read off the asymptotics of the metric close to spatial infinity. Whereas for the evaluation of the here derived source integrals the geometry has to be known in the region containing all sources, i.e., matter as well as singularities. The source integrals can be written either as volume integrals over such a region or as integrals over the surface of that region. Eventually, these source integrals allow assigning to any spacetime regions its contribution to the total multipole moments of the spacetime. Finally, we give an exemplary application that outlines the usefulness and applicability of the source integrals in, e.g., (non)existence proofs.
  • In this article, we derive source integrals, i.e., quasilocal expressions, for multipole moments in axially symmetric and static spacetimes. Usually, these multipole moments are read off the asymptotics of the metric close to spatial infinity. Whereas for the evaluation of the here derived source integrals the geometry has to be known in the region containing all sources, i.e., matter as well as singularities. The source integrals can be written either as volume integrals over such a region or as integrals over the surface of that region. Eventually, these source integrals allow assigning to any spacetime regions its contribution to the total multipole moments of the spacetime. Finally, we give an exemplary application that outlines the usefulness and applicability of the source integrals in, e.g., (non)existence proofs. (en)
Title
  • Source integrals for multipole moments in static and axially symmetric spacetimes
  • Source integrals for multipole moments in static and axially symmetric spacetimes (en)
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  • Source integrals for multipole moments in static and axially symmetric spacetimes
  • Source integrals for multipole moments in static and axially symmetric spacetimes (en)
skos:notation
  • RIV/00216208:11320/14:10290532!RIV15-MSM-11320___
http://linked.open...avai/riv/aktivita
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  • P(GD205/09/H033), S
http://linked.open...iv/cisloPeriodika
  • 2
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
  • Gürlebeck, Norman
http://linked.open.../riv/druhVysledku
http://linked.open...iv/duvernostUdaju
http://linked.open...titaPredkladatele
http://linked.open...dnocenehoVysledku
  • 46257
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  • RIV/00216208:11320/14:10290532
http://linked.open...riv/jazykVysledku
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  • einsteins equations; gravitational waves; celestial mechanics; axisymmetrical spacetimes; general-relativity (en)
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http://linked.open...odStatuVydavatele
  • US - Spojené státy americké
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  • [8DC6C0E5463C]
http://linked.open...i/riv/nazevZdroje
  • Physical Review D - Particles, Fields, Gravitation and Cosmology
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http://linked.open...UplatneniVysledku
http://linked.open...v/svazekPeriodika
  • 90
http://linked.open...iv/tvurceVysledku
  • Gürlebeck, Norman
http://linked.open...ain/vavai/riv/wos
  • 000339067900003
issn
  • 1550-7998
number of pages
http://bibframe.org/vocab/doi
  • 10.1103/PhysRevD.90.024041
http://localhost/t...ganizacniJednotka
  • 11320
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