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The production rate of compact objects, i.e. neutron stars (NS) and blackholes (BH), in active galactic nuclei (AGN) and quasars (QSO), where thefrequent supernova explosion is used to explain the high metallicity, is veryhigh due to the interaction between the accretion disk and main sequence starsin the nucleus of the quasar. The compact object-red giant star (RG) binariescan be easily formed due to the large captured cross-section of the red giantstars. The (NS/BH, NS/BH) binary can be formed after the supernova explosion ofthe (NS/BH, RG) binary. Intense transient gamma-ray emission (gamma-ray burst)and gravitational radiation can result from the merger of these two compactobjects. Collision between helium core (Hc) of RG and black hole may also takeplace and may also result in long duration gamma-ray bursts but nogravitational waves. We estimate that the merger rate of (NS/BH, NS/BH)binaries and (Hc, BH) is proportional to the metal abundance $({\rm\frac{NV}{CIV}})$ and can be as high as 10$^{-3}({\rm \frac{NV}{CIV}}/0.01)$per year per AGN/QSO.Comment: 7 pages in emulateapj style, 1 table, no figur

The Formation and Merger of Compact Objects in the Central Engine of Active Galactic Nuclei and Quasars: Gamma‐Ray Burst and Gravitational Radiation