Higher-order-in-spin interaction Hamiltonians for binary black holes from Poincare invariance

Journal Article · Mon Dec 15 04:00:00 EST 2008 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.78.124004· OSTI ID:21251128

Hergt, Steven; Schaefer, Gerhard ^[1]

---

1. Friedrich-Schiller-Universitaet Jena, Max-Wien-Platz 1, 07743 Jena (Germany)

The fulfillment of the space-asymptotic Poincare algebra is used to derive new higher-order-in-spin interaction Hamiltonians for binary black holes in the Arnowitt-Deser-Misner canonical formalism almost completing the set of the formally 1/c{sup 4} spin-interaction Hamiltonians involving nonlinear spin terms. To linear order in G, the expressions for the S{sup 3}p and the S{sup 2}p{sup 2} Hamiltonians are completed. It is also shown that there are no quartic nonlinear S{sup 4} Hamiltonians to linear order in G.

• OSTI ID: 21251128
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 78; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BLACK HOLES
HAMILTONIANS
INTERACTIONS
INVARIANCE PRINCIPLES
NONLINEAR PROBLEMS
POINCARE GROUPS
SPACE
SPIN