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Tidal deformations of spinning black holes in Bowen-York initial data

Cabero, M., & Krishnan, B. (2015). Tidal deformations of spinning black holes in Bowen-York initial data. Classical and quantum gravity, 32(4): 045009. doi:10.1088/0264-9381/32/4/045009.

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Creators:
Cabero, Miriam, Author
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1Astrophysical Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24013

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
Abstract: We study the tidal deformations of the shape of a spinning black hole horizon due to a binary companion in the Bowen-York initial data set. We use the framework of quasi-local horizons and identify a black hole by marginally outer trapped surfaces. The intrinsic horizon geometry is specified by a set of mass and angular-momentum multipole moments $\mathcal{M}_n$ and $\mathcal{J}_n$ respectively. The tidal deformations are described by the change in these multipole moments caused by an external perturbation. This leads us to define two sets of dimensionless numbers, the tidal coefficients for $\mathcal{M}_n$ and $\mathcal{J}_n$, which specify the deformations of a black hole with a binary companion. We compute these tidal coefficients in a specific model problem, namely the Bowen-York initial data set for binary black holes. We restrict ourselves to axisymmetric situations and to small spins. Within this approximation, we analytically compute the conformal factor, the location of the marginally trapped surfaces, and finally the multipole moments and the tidal coefficients.

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Dates: 2014-07-292015
Publication Status: Published in print
Pages: 22 pages, 1 figure
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Rev. Method: -
Identifiers: arXiv: 1407.7656
DOI: 10.1088/0264-9381/32/4/045009
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Title: Classical and quantum gravity
Source Genre: Journal
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Publ. Info: Bristol, U.K. : Institute of Physics
Pages: - Volume / Issue: 32 (4) Sequence Number: 045009 Start / End Page: - Identifier: ISSN: 0264-9381
CoNE: /journals/resource/954925513480_1