Gravitational quadrupole radiation-reaction force and the canonical formalism of ADM

Journal Article · Mon Apr 15 00:00:00 EST 1985 · Ann. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1016/0003-4916(85)90337-9· OSTI ID:5467543

Schafer, G

The Hamiltonian to order c/sup -4/ in the instantaneous part of a gravitational interacting many-particle system and to leading (quadrupole) order in the coupling of the system with the dynamical degrees of freedom of the gravitational field is given. This is done using the canonical formalism of ADM. The Hamiltonian constants time-derivatives of the canonical momenta neither of the particles nor of the gravitational field. The quadrupole radiation-reaction force is deduced and the losses of energy and angular momentum are calculated (in the near zone as well as in the far zone). All metric coefficients which occur up to the second and a half post-Newtonian approximation are given explicitly and it is checked that the one-particle Hamiltonian which follows from the Hamilton-Jacobi equation consistently yields the Hamilton equations of motion which result from the particle-field Hamiltonian.

• Research Organization: Fakulaet fuer Physik der Universitaet Konstanz, Postfach 5560, D-7750 Konstanz, Federal Republic of Germany
• OSTI ID: 5467543
• Journal Information: Ann. Phys. (N.Y.); (United States), Vol. 161:1
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATIONAL INTERACTIONS
HAMILTONIANS
MANY-BODY PROBLEM
ENERGY LOSSES
GRAVITATIONAL RADIATION
BASIC INTERACTIONS
INTERACTIONS
LOSSES
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
RADIATIONS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation