Numerical solutions for rotating Black Holes in dynamical Chern-Simons theory

We numerically solve the Einstein Field Equations for dynamical Chern-Simons gravity in an effective field theory approach. Using an order-reduction scheme, we express the field equations as a perturbation on a Kerr background solution. Furthermore, we use the axial symmetry of the rotating system to optimize the numerical scheme and study the solutions using spectral methods in the Spectral Einstein Code (SpEC). The metric solutions, which are valid for arbitrary spins of the black hole, have implications for observables like the black hole shadow or entropy.