Gravitational waves from stellar encounters

Abstract

The emission of gravitational waves from a system of massive objects interacting on elliptical, hyperbolic and parabolic orbits is studied in the quadrupole approximation. Analytical expressions are then derived for the gravitational wave luminosity, the total energy output and gravitational radiation amplitude. A crude estimate of the expected number of events towards peculiar targets (i.e. globular clusters) is also given. In particular, the rate of events per year is obtained for the dense stellar cluster at the Galactic Center.

14 pages, 3 figures

References in corpus (7)

• Upper bounds on the low-frequency stochastic gravitational wave background from pulsar timing observations: current limits and future prospects
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Gravitational self force on a particle in circular orbit around a Schwarzschild black hole
• Higher-order gravity and the cosmological background of gravitational waves
• Gravitational waves from hyperbolic encounters
• Gravitational-wave background from compact objects embedded in AGN accretion disks
• Adiabatic Expansion for Metric Perturbation and the condition to solve the Gauge Problem for Gravitational Radiation Reaction Problem

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