What are advantages of MRT (Magnetic Resonance Tomography) scan over MRI (Magnetic Resonance Imaging) scan? Are these equally safe?

Same. Those are equivalent terms for the same type of imaging. No x-rays or iodine containing contrast is used for MRI studies. Here is a helpful link. http://www.mr-tip.com/serv1.php?type=db1&dbs=Magnetic%20Resonance%20Tomography.