2012

Gravitational wave energy spectrum of hyperbolic encounters

De Vittori, Lorenzo, Jetzer, Philippe, Klein, Antoine

Understand

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 {\epsilon} = 1, the parabolic case whose spectrum was computed by Berry and Gair, and the large {\epsilon} limit with the formula given by Turner.

Built on

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Similar

  • M. Turner, Astrophysical Journal 216

    1977

    Cited alongside, same era.

  • G.B. Arfken and H.J. Weber, Mathematical Methods for Physicists, Academic Press, New York (2001)

    2001

    Cited alongside, same era.

  • M. Maggiore, Gravitational Waves. Volume 1: Theory and Experiments. Oxford University Press (2007)

    2007

    Cited alongside, same era.

  • S. Capozziello and M. De Laurentis and F.De Paolis and G. Ingrosso and A. Nucita, Mod. Phys. Lett. A , 23

    2008

    Cited alongside, same era.

Then

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