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Colliding black holes: analytic insights
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We summarize the state of the art of the ``close approximation'' to black hole collisions. We discuss results to first and second order in perturbation theory for head-on collisions of momentarily-stationary and non-stationary black holes and discuss the near-future prospect of non-axisymmetric collisions.
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Nonlinearities of Schwarzschild Black Hole Head-on Collisions
Quadratic quasi-normal mode amplitudes in Schwarzschild head-on collisions can be derived analytically via second-order perturbation theory bootstrapping.
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