Publikace ÚTF

System of gravitationally interacting bodies in the postMinkoskian Hamiltonian description

Ledvinka, T.; Schäfer, G.; Bičák, J.

The Hamiltonian description of a system of N bodies interacting by their gravitational field is given in the first-order post-Minkowskian approximation of the General relativity. The bodies are represented by their rest mass, canonical coordinates and momenta. Their velocity is not assumed to be small, as is the case in the post-Newtonian approximation, even particles with zero rest mass moving with the speed of light are allowed. The Hamiltonian given in [4] includes all terms linear in the gravitational constant. It has quite a simple form of a sum of kinetic energies of individual particles and binary interaction potentials. The dynamics of gravitational field is eliminated by solving inhomogeneous wave equations, applying transversetraceless projections, and using the
Routh functional. To illustrate properties and possible applications of the post-Minkowskian Hamiltonian description of system of gravitationally interacting bodies several general-relativistic phenomena are discussed emphasizing the uniform treatment of gravitating and test bodies as well as test photons in this approach.
type:inproceedings
year:2013
link: ftp://gssc.esa.int/esa/colloquium/2013-Proceedings_Galileo-colloquium.zip
note:Abstract of the talk at 4th Galileo Science Colloquium, December 2013, Prague.
grants:Current problems of gravitation, general relativity and relativistic astrophysics, GAČR 202/09/0772; 2009-2013; hlavní řešitel: Jiří Bičák
files:
s04b_1420_ledvinka.pdf (153.14 kB)

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