Definitions

This is a list of definitions of some of the quantities used in the code (please email me if you find any more definitions that I missed).

To solve the Teukolsky equation in first order form, we define the following fields

• psi4_lin_f := linear Teukolsky field

• psi4_lin_p := \partial_T psi4_lin_f

• psi4_lin_q := \partial_R psi4_lin_f

• psi4_integral_lin_f := the time integral of psi4_lin_f (as at future null infinity, psi4_lin_f ~ \partial_T^2 (h_+ - h_x), and to obtain energy and angular momentum fluxes we need the first time derivative of the metric fields h_+ and h_x)

• lin -> scd := the equivalent for the second order field

• res_bianchi3 := the linearized Bianchi identity (see the Numerics paper). Similarly for res_bianchi2 and res_hll. In the continuum limit these should be zero, and provide an independent residual check on the metric reconstruction procedure