Gravitational wave energy spectrum of a parabolic encounter

Berry, C. P.L. and Gair, J. (2010) Gravitational wave energy spectrum of a parabolic encounter. Physical Review D, 82(10), 107501. (doi: 10.1103/PhysRevD.82.107501)

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We derive an analytic expression for the energy spectrum of gravitational waves from a parabolic Keplerian binary by taking the limit of the Peters and Mathews spectrum for eccentric orbits. This demonstrates that the location of the peak of the energy spectrum depends primarily on the orbital periapse rather than the eccentricity. We compare this weak-field result to strong-field calculations and find it is reasonably accurate ( ∼ 10 % ) provided that the azimuthal and radial orbital frequencies do not differ by more than ∼ 10 % . For equatorial orbits in the Kerr spacetime, this corresponds to periapse radii of r p ≳ 20 M . These results can be used to model radiation bursts from compact objects on highly eccentric orbits about massive black holes in the local Universe, which could be detected by the Laser Interferometer Space Antenna (LISA).

Item Type:Articles
Glasgow Author(s) Enlighten ID:Gair, Dr Jonathan and Berry, Dr Christopher
Authors: Berry, C. P.L., and Gair, J.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Physical Review D
Publisher:American Physical Society
ISSN (Online):2470-0029
Published Online:17 November 2010

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