Emission of gravitational waves from binary systems in the galactic center and diffraction by star clusters

Abstract

Binary systems of compact objects are strong emitters of gravitational waves whose amplitude depends on the binary orbital parameters as the component mass, the orbital semi-major axis and eccentricity. Here, in addition to the famous Hulse-Taylor binary system, we have studied the possibility to detect the gravitational wave signal emitted by binary systems at the center of our galaxy. In particular, recent infrared observation of the galactic center have revealed the existence of a cluster of stars each of which appears to orbit the central black hole in $SgrA^*$. For the stars labelled as S2 and S14, we have studied the emitted spectrum of gravitational wave and compare it with the sensitivity threshold of space-based interferometers like Lisa and Astrod. Furthermore, following recent observations, we have considered the possibility that $SgrA^*$ is actually a binary system of massive black holes and calculated the emission spectrum as a function of the system parameters. The diffraction pattern of gravitational waves emitted by a binary system by a cluster of stars has been also analyzed. We remark that this is only a preliminary-theoretical work than can acquire more interest in view of the next-coming gravitational wave astronomy era.