Binary spinning black hole Hamiltonian in canonical center-of-mass and rest-frame coordinates through higher post-Newtonian order

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3448924· OSTI ID:21476535

Rothe, Tilman J ^[1]; Schaefer, Gerhard ^[2]

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1. Mathematisches Institut, Friedrich-Schiller-Universitaet Jena, Ernst-Abbe-Platz 2, 07743 Jena (Germany)
2. 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, Journal Name: Journal of Mathematical Physics Journal Issue: 8 Vol. 51; ISSN JMAPAQ; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
79 ASTRONOMY AND ASTROPHYSICS
ANGULAR MOMENTUM
BLACK HOLES
DIFFERENTIAL EQUATIONS
EQUATIONS
HAMILTONIANS
INVARIANCE PRINCIPLES
LINEAR MOMENTUM
LORENTZ INVARIANCE
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
NUCLEAR MODELS
PARTICLE PROPERTIES
QUANTUM OPERATORS
SINGLE-PARTICLE MODEL
SPIN
VELOCITY