Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order
- Mathematisches Institut, Friedrich-Schiller-Universitaet Jena, Ernst-Abbe-Platz 2, 07743 Jena (Germany)
- Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany)
The recently constructed Hamiltonians for spinless binary black holes through third post-Newtonian order and for spinning ones through formal second post-Newtonian order, where the spins are counted of zero post-Newtonian order, are transformed into fully canonical center-of-mass and rest-frame variables. The mixture terms in the Hamiltonians between center-of-mass and rest-frame variables are in accordance with the relation between the total linear momentum and the center-of-mass velocity as demanded by global Lorentz invariance. The various generating functions for the center-of-mass and rest-frame canonical variables are explicitly given in terms of the single-particle canonical variables. The no-interaction theorem does not apply because the world-line condition of Lorentz covariant position variables is not imposed.
- OSTI ID:
- 21476535
- Journal Information:
- Journal of Mathematical Physics, Vol. 51, Issue 8; Other Information: DOI: 10.1063/1.3448924; (c) 2010 American Institute of Physics; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
BLACK HOLES
DIFFERENTIAL EQUATIONS
HAMILTONIANS
LINEAR MOMENTUM
LORENTZ INVARIANCE
SINGLE-PARTICLE MODEL
SPIN
VELOCITY
ANGULAR MOMENTUM
EQUATIONS
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS