Finite Androgen Ablation With or Without Abiraterone Acetate and Prednisone in Treating Patients With Recurrent Prostate Cancer

This phase II trial studies how well finite androgen ablation with or without abiraterone acetate and prednisone work in treating patients with prostate cancer that has come back. Androgen can cause the growth of prostate cancer cells. Hormone therapy, such as finite androgen ablation, using leuprolide acetate, goserelin acetate, degarelix, bicalutamide, flutamide, and nilutamide may fight prostate cancer by lowering the amount of androgen the body makes. Abiraterone acetate may help to decrease the production of testosterone, and prednisone may help lower or prevent some side effects. It is not yet known whether giving acetate, goserelin acetate, degarelix, bicalutamide, flutamide, and nilutamide with or without abiraterone acetate and prednisone may work better in treating patients with prostate cancer.