A Post-Newtonian Treatment of Relativistic Binaries in Star Clusters

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Stellar-mass compact object binaries (binaries containing any combination of white dwarfs, neutron stars, and black holes) provide sources of background gravitational radiation observable by the current VIRGO and LIGO gravitational wave detectors. Since dense star clusters have a high binary fraction which can harden efficiently through dynamical interactions, such environments should produce a strong signal for VIRGO and LIGO. In order to produce proper templates for the gravitational waves emitted by such clusters, accurate statistics both on the orbital parameters of such binaries and their number and location at different stages of cluster evolution must be produced. I approach this problem by implementing a Post-Newtonian treatment of general relativity in the direct N-body code NBODY6++ and studying the evolution of the binary population. I will present preliminary results on the statistics of relativistic binaries in star clusters as well as some details on our implementation of Post-Newtonian relativity in direct N-body codes.

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