Black Hole Hair Loss in Parity Violating Gravity

The detection of gravitational waves by the LIGO/VIRGO collaboration has allowed for the first tests of Einstein's theory of general relativity in the extreme gravity regime where the interaction is simultaneously strong, non-linear and dynamical. The presence of hairy black holes can be constrained by considering the rate at which binaries inspiral or the rate at which the gravitational wave frequency increases. Black holes with scalar hair would typically excite dipole radiation which in turn leads to a faster decay and frequency chirping. In this talk, I will provide a mathematical proof that the 1/r component of scalar charge sourced by an asymptotically flat, stationary and axisymmetric spacetime vanishes when considering parity violating extensions of Einstein's theory particularly with focus on the dynamical Chern-Simons theory.