Carboplatin, Gemcitabine Hydrochloride, and Stereotactic Body Radiation Therapy in Gynecological Cancer

Inclusion Criteria: * Patient has diagnosis of a persistent or recurrent gynecologic cancer * Patient age is \> 18 years. * Patient must have at least one abdominopelvic measurable site of disease as defined by 9.1.3;. A treatment planning 18F-FDG positron emission tomography and computed tomography scan (PET/CT; whole body) may be used to complement assessment, \& if done must be completed prior to first dose of carboplatin / gemcitabine and within 35 days of first day of SBRT. There MUST BE no more than four (4) intended radiosurgical target lesions. An individual (one of up to four) radiosurgical target lesion MUST NOT EXCEED a volume of no greater than 160 cubic centimeters (cc). * No prior cryosurgery or radiofrequency ablation in SBRT-target lesion. Patients with prior cryoablation and radiofrequency ablation are excluded as these treatments are designed to destroy tissue with freezing or heat. Radiation treatments given by SBRT may not work biologically or may cause excessive tissue injury in patients who have had prior cryoablation and radiofrequency ablation. * Patient has no major medical illnesses or psychiatric illnesses: 1. New York Heart Association (NYHA) class 3 or 4 congestive heart failure; 2. unstable angina pectoris; 3. symptomatic cardiac arrhythmia; 4. hypertension with diastolic blood pressure greater than 110 mmHg; 5. pulmonary disease consisting of dyspnea at rest requiring oxygen supplementation; 6. renal function impairment (defined here as baseline serum creatinine \>2.0 mg/dL); 7. psychiatric illness/social situations that would limit compliance. * Patient must have no known brain metastases. These patients are excluded from this clinical trial because of their poor prognosis and because they often develop progressive neurological dysfunction that would confound neurological and other adverse event evaluation. * Patient must demonstrate adequate organ function (\< 35 days from enrollment): * Bone marrow: absolute neutrophil count (ANC) ≥ 1500/mcl, platelets ≥ 100,000, hemoglobin ≥ 10 mg/dL. * Renal function: creatinine ≤ 2.0 mg/dL. * Hepatic function: bilirubin ≤ 1.5X institutional upper limit of normal (ULN); AST, ALT, alkaline phosphatase ≤ 2.5X ULN * Patient MUST have had prior chemotherapy or radiation for a gynecologic cancer. Patient is \> 28 days from previous treatment (chemotherapy or radiation) and toxicities related to the previous treatment must have resolved to grade 1 or baseline. * Patient has Gynecologic Oncology Group performance status score of 0 or 1. * Patient is able to give study-specific informed consent Exclusion Criteria: * Any patient NOT meeting the above criteria * Any patient with active connective tissue disease such as lupus or dermatomyositis is excluded; patients with active connective tissue disease are at an excessive risk of organ function-impairing fibrosis * Any patient with active Crohn's disease or active ulcerative colitis is excluded; patients having these conditions are at an excessive risk of organ function-impairing fibrosis * Any patient with known anaphylaxis to carboplatin or gemcitabine is excluded * Pregnant women are excluded from this study because radiation has the potential for teratogenic or abortifacient effects; screening beta-human chorionic gonadotropin (hcg) levels (urine or blood) and diagnostic tests will be used to determine eligibility in women of childbearing potential; women of child-bearing potential and men must agree to use adequate contraception (hormonal or barrier method of birth control; abstinence) prior to study entry and for the duration of study participation; should a woman become pregnant or suspect she is pregnant while participating in this study, she should inform her treating physician immediately; these potential risks may also apply to carboplatin/gemcitabine chemotherapy agents used in this study * Human immunodeficiency virus (HIV)-positive patients on combination antiretroviral therapy are ineligible because of the potential for pharmacokinetic interactions with carboplatin or gemcitabine; in addition, patients known to be HIV-positive patient are excluded due to an increased risk of lethal infections when treated with marrow-suppressive therapy such as carboplatin/gemcitabine; HIV testing is not mandatory for eligibility evaluation * Due to a perceived increased risk to transplanted organ for lethal dysfunction or lethal infection, patients with visceral organ transplants are not eligible * Patients with other active non-gynecologic invasive malignancies are excluded; patients with other invasive malignancies who had (or have) cancer present within the last two years are excluded