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  First Law of Mechanics for Black Hole Binaries with Spins

Blanchet, L., Buonanno, A., & Tiec, A. L. (2013). First Law of Mechanics for Black Hole Binaries with Spins. Physical Review D, 87(2): 024030. doi:10.1103/PhysRevD.87.024030.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-0023-F6E4-D Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0024-261B-8
Genre: Journal Article

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1211.1060.pdf (Preprint), 354KB
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 Creators:
Blanchet, Luc, Author
Buonanno, A.1, 2, Author              
Tiec, Alexandre Le, Author
Affiliations:
1Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, escidoc:1933290              
2Maryland Center for Fundamental Physics & Joint Space-Science Center, Department of Physics, University of Maryland, escidoc:persistent22              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We use the canonical Hamiltonian formalism to generalize to spinning point particles the first law of mechanics established for binary systems of non-spinning point masses moving on circular orbits [Le Tiec, Blanchet, and Whiting, Phys. Rev. D 85, 064039 (2012)]. We find that the redshift observable of each particle is related in a very simple manner to the canonical Hamiltonian and, more generally, to a class of Fokker-type Hamiltonians. Our results are valid through linear order in the spin of each particle, but hold also for quadratic couplings between the spins of different particles. The knowledge of spin effects in the Hamiltonian allows us to compute spin-orbit terms in the redshift variable through 2.5PN order, for circular orbits and spins aligned or anti-aligned with the orbital angular momentum. To describe extended bodies such as black holes, we supplement the first law for spinning point-particle binaries with some "constitutive relations" that can be used for diagnosis of spin measurements in quasi-equilibrium initial data.

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 Dates: 2012-11-052013-01-232013
 Publication Status: Published in print
 Pages: 16 pages; matches the published version
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1211.1060
DOI: 10.1103/PhysRevD.87.024030
URI: http://arxiv.org/abs/1211.1060
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 87 (2) Sequence Number: 024030 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: http://pubman.mpdl.mpg.de/cone/journals/resource/111088197762258