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Description
  • The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple closed form as a function of canonical variables describing the bodies only. The field is eliminated by solving inhomogeneous wave equations, applying transverse-traceless projections, and using the Routh functional. By including all special relativistic effects our Hamiltonian extends the results described in classical textbooks of theoretical physics. As an application, the scattering of relativistic objects is considered.
  • The Hamiltonian for a system of relativistic bodies interacting by their gravitational field is found in the post-Minkowskian approximation, including all terms linear in the gravitational constant. It is given in a surprisingly simple closed form as a function of canonical variables describing the bodies only. The field is eliminated by solving inhomogeneous wave equations, applying transverse-traceless projections, and using the Routh functional. By including all special relativistic effects our Hamiltonian extends the results described in classical textbooks of theoretical physics. As an application, the scattering of relativistic objects is considered. (en)
Title
  • Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems
  • Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems (en)
skos:prefLabel
  • Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems
  • Post-Minkowskian closed-form Hamiltonian for gravitating N-body systems (en)
skos:notation
  • RIV/00216208:11320/12:10132591!RIV13-GA0-11320___
http://linked.open...avai/riv/aktivita
http://linked.open...avai/riv/aktivity
  • P(GA202/09/0772), P(LC06014), Z(MSM0021620860)
http://linked.open...vai/riv/dodaniDat
http://linked.open...aciTvurceVysledku
http://linked.open.../riv/druhVysledku
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  • 160202
http://linked.open...ai/riv/idVysledku
  • RIV/00216208:11320/12:10132591
http://linked.open...riv/jazykVysledku
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  • post-Minkowskian approximation; general relativity (en)
http://linked.open.../riv/klicoveSlovo
http://linked.open...ontrolniKodProRIV
  • [3117FE5D33EE]
http://linked.open...v/mistoKonaniAkce
  • Paříž, Francie
http://linked.open...i/riv/mistoVydani
  • Singapore
http://linked.open...i/riv/nazevZdroje
  • The Twelfth Marcel Grossmann Meeting : On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
http://linked.open...in/vavai/riv/obor
http://linked.open...ichTvurcuVysledku
http://linked.open...cetTvurcuVysledku
http://linked.open...vavai/riv/projekt
http://linked.open...UplatneniVysledku
http://linked.open...iv/tvurceVysledku
  • Bičák, Jiří
  • Ledvinka, Tomáš
  • Schäfer, Gerhard
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http://linked.open.../riv/zahajeniAkce
http://linked.open...n/vavai/riv/zamer
number of pages
http://bibframe.org/vocab/doi
  • 10.1142/9789814374552_0039
http://purl.org/ne...btex#hasPublisher
  • World Scientific Publishing
https://schema.org/isbn
  • 978-981-4374-51-4
http://localhost/t...ganizacniJednotka
  • 11320
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