Induced Ellipticity for Inspiraling Binary Systems - INSPIRE

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Induced Ellipticity for Inspiraling Binary Systems

Lisa Randall
(
- Harvard U., Phys. Dept.
)
,
Zhong-Zhi Xianyu
(
- Harvard U. and
- Harvard U., Dept. Math.
)

Aug 28, 2017

13 pages

Published in:

Astrophys.J. 853 (2018) 1, 93

Published: Jan 25, 2018

e-Print:

1708.08569 [gr-qc]

DOI:

10.3847/1538-4357/aaa1a2

View in:

ADS Abstract Service

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Abstract: (IOP)

Although gravitational waves tend to erase eccentricity of an inspiraling binary system, ellipticity can be generated in the presence of surrounding matter. We present a semianalytical method for understanding the eccentricity distribution of binary black holes (BHs) in the presence of a supermassive BH in a galactic center. Given a matter distribution, we show how to determine the resultant eccentricity analytically in the presence of both tidal forces and evaporation up to one cutoff and one matter-distribution-independent function, paving the way for understanding the environment of detected inspiraling BHs. We furthermore generalize Kozai–Lidov dynamics to situations where perturbation theory breaks down for short time intervals, allowing more general angular momentum exchange, such that eccentricity is generated even when all bodies orbit in the same plane.

Note:

37 pages, ApJ final version

binaries: close
gravitational waves
black hole: binary
binary: coalescence
angular momentum: exchange
gravitational radiation
gravitational radiation: emission
perturbation theory
evaporation
galaxy

References(20)

Figures(0)

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