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Gravitational wave energy spectrum of hyperbolic encounters


De Vittori, Lorenzo; Jetzer, Philippe; Klein, Antoine (2012). Gravitational wave energy spectrum of hyperbolic encounters. Physical Review D (Particles, Fields, Gravitation and Cosmology), 86(4):044017.

Abstract

The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic formula for the energy spectrum of the emitted waves. We checked numerically that our formula is in agreement with the two limiting cases for which results were already available: for the eccentricity ɛ=1, the parabolic case whose spectrum was computed by Berry and Gair, and the large ɛ limit with the formula given by Turner.

Abstract

The emission of gravitational waves is studied for a system of massive objects interacting on hyperbolic orbits within the quadrupole approximation following the work of Capozziello et al. Here we focus on the derivation of an analytic formula for the energy spectrum of the emitted waves. We checked numerically that our formula is in agreement with the two limiting cases for which results were already available: for the eccentricity ɛ=1, the parabolic case whose spectrum was computed by Berry and Gair, and the large ɛ limit with the formula given by Turner.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute for Computational Science
Dewey Decimal Classification:530 Physics
Language:English
Date:August 2012
Deposited On:21 Jan 2013 16:20
Last Modified:05 Apr 2016 16:18
Publisher:American Physical Society
ISSN:1550-2368
Publisher DOI:https://doi.org/10.1103/PhysRevD.86.044017

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