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Publikace ÚTF

Post-Minkowskian Closed-Form Hamiltonian for Gravitating N-Body Systems

Ledvinka, T.; Schäfer, G.; Bičák, J.

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 specisl relativistic effects our Hamiltonian extends the results described in classical textbooks of theoretical physics. As an application, the scattering of relativistic objects in considered.
publisher:World Scientific Publishing
poznámka:Proceedings of the 12th Marcel Grossmann Meeting
grant:Aktuální problémy gravitace, obecné relativity a relativistické astrofyziky, GAČR 202/09/0772, 2009-2013; Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech, výzkumný záměr MSM0021620860, 2007-2013
mg12 postminkowski hamiltonian.pdf (3378.26 kB)
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