Strong-field tests of gravity with gravitational waves

Recent observations of black holes through gravitational waves allow us to probe the strong and dynamical field regime of gravity. After briefly reviewing General Relativity, black holes, and gravitational waves, I will describe a parameterized test of gravity with gravitational waves to probe different fundamental aspects of General Relativity in a theory-agnostic approach. I will then explain how this parameterized test can be mapped to specific theories, taking as an example a gravitational theory beyond General Relativity that is motivated by string theory.