Scalar waves produced by a scalar charge orbiting a massive body with arbitrary multipole moments

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Abstract
We present and implement a method for computing the scalar waves produced by a scalar charge orbiting on a circular, equatorial geodesic around a massive, compact body whose vacuum exterior spacetime is stationary, axially symmetric, and reflection symmetric across the equatorial plane. We use our method to compute numerically how the waves’ luminosity depends on the multipole moments of the central body and on a scattering cutoff that we impose to model the body’s nonvacuum interior.