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Binary Black Holes and Gravitational Wave Production: Post-Newtonian Analytic Treatment

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Current Trends in Relativistic Astrophysics

Part of the book series: Lecture Notes in Physics ((LNP,volume 617))

Abstract

Within a post-Newtonian approximation scheme the Einstein field equations are solved for the dynamics of the decaying orbits of binary black holes and the related gravitational wave emission. The black holes are modelled by two Dirac delta functions in conformally related d-dimensional euclidean space. The limit from the Einstein field equations in (d+1)-dimensional spacetime is applied to achieve well- defined mathematical expressions in 4-dimensional spacetime. The conservative orbital dynamics is presented up to the third post-Newtonian order of approximation and the decaying orbital phase up to the four-and-a-half post-Newtonian order. The gravitational waveform is given to second post-Newtonian order.

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Author information

Authors and Affiliations

  1. Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität Jena, Max-Wien-Platz 1, D-07743, Jena, Germany

    Gerhard Schäfer

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  1. Gerhard Schäfer
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Editor information

Editors and Affiliations

  1. E.T.S.I.Navales, Universidad Politécnica de Madrid, Arco de la Victoria s/n, 28040, Madrid, Spain

    Leonardo Fernández-Jambrina

  2. Fac. Ciencias Físicas, Universidad Compluense de Madrid, Avenida Complutense s/n, 28040, Madrid, Spain

    Luis Manuel González-Romero

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Schäfer, G. (2003). Binary Black Holes and Gravitational Wave Production: Post-Newtonian Analytic Treatment. In: Fernández-Jambrina, L., González-Romero, L.M. (eds) Current Trends in Relativistic Astrophysics. Lecture Notes in Physics, vol 617. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36973-2_10

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  • DOI: https://doi.org/10.1007/3-540-36973-2_10

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-01983-1

  • Online ISBN: 978-3-540-36973-8

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