Gravitational-wave Tests of General Relativity: Present and Future

Compact binary merger events recently discovered by the LIGO and Virgo Collaboration offer us excellent testbeds for probing fundamental physics. In this talk, I will first review the current status of testing extreme (strong and dynamical-field) gravity with gravitational waves from binary black hole and binary neutron star mergers that was previously inaccessible. In particular, I will explain how well one can probe various fundamental pillars in General Relativity. I will next review how these tests will improve in future and what kinds of new tests are possible once space-borne interferometers, such as LISA, are in operation.