Relativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation

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dc.creatorLedvinka, Tomas
dc.creatorSchaefer, Gerhard
dc.creatorBicak, Jiri
dc.date2008-07-01
dc.date.accessioned2026-07-07T11:33:57Z
dc.date.available2026-07-07T11:33:57Z
dc.descriptionThe 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.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/0807.0214
dc.identifierhttp://arxiv.org/abs/0807.0214
dc.identifierPhys.Rev.Lett.100:251101,2008
dc.identifierdoi:10.1103/PhysRevLett.100.251101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/198079
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleRelativistic Closed-Form Hamiltonian for Many-Body Gravitating Systems in the Post-Minkowskian Approximation
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