Docetaxel, Carboplatin, and Rucaparib Camsylate in Treating Patients With Metastatic Castration Resistant Prostate Cancer With Homologous Recombination DNA Repair Deficiency

OUTLINE: INDUCTION: Patients receive docetaxel intravenously (IV) and carboplatin IV on day 1. Treatment repeats every 21 days for 4 cycles in the absence of disease progression or unacceptable toxicity. MAINTENANCE: Patients receive rucaparib camsylate orally (PO) twice daily (BID) on days 1-28. Cycles repeat every 28 days in the absence of disease progression or unacceptable toxicity. After completion of study treatment, patients are followed up periodically.