Next-to-leading order gravitational spin1-spin2 coupling with Kaluza-Klein reduction

Journal Article · Wed Sep 15 00:00:00 EDT 2010 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.82.064029· OSTI ID:21421171

Levi, Michele ^[1]

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1. Racah Institute of Physics, Hebrew University, Jerusalem 91904 (Israel)

We use the recently proposed Kaluza-Klein (KK) reduction over the time dimension, within an effective field theory (EFT) approach, to calculate the next-to-leading order gravitational spin1-spin2 interaction between two spinning compact objects. It is shown here that to next-to-leading order in the spin1-spin2 interaction, the reduced KK action within the stationary approximation is sufficient to describe the gravitational interaction, and that it simplifies calculation substantially. We also find here that the gravitomagnetic vector field defined within the KK decomposition of the metric mostly dominates the mediation of the interaction. Our results coincide with those calculated in the Arnowitt-Deser-Misner Hamiltonian formalism, and we provide another explanation for the discrepancy with the result previously derived within the EFT approach, thus demonstrating clearly the equivalence of the Arnowitt-Deser-Misner Hamiltonian formalism and the EFT action approach.

• OSTI ID: 21421171
• Journal Information: Physical Review. D, Particles Fields, Vol. 82, Issue 6; Other Information: DOI: 10.1103/PhysRevD.82.064029; (c) 2010 American Institute of Physics; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
APPROXIMATIONS
COUPLING
DECOMPOSITION
GRAVITATIONAL INTERACTIONS
HAMILTONIANS
J-J COUPLING
KALUZA-KLEIN THEORY
METRICS
QUANTUM FIELD THEORY
REDUCTION
VECTOR FIELDS
BASIC INTERACTIONS
CALCULATION METHODS
CHEMICAL REACTIONS
FIELD THEORIES
INTERACTIONS
INTERMEDIATE COUPLING
MATHEMATICAL OPERATORS
QUANTUM OPERATORS
UNIFIED-FIELD THEORIES