Nonlinear perturbations of transonic spherical accretion onto compact objects produce a dynamical effective acoustic geometry whose horizon shifts with the amplitudes of density, temperature, and mass-accretion-rate fluctuations.
Moncrief,Stability of stationary, spherical accretion onto a Schwarzschild black hole, Astrophys
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Emergent gravity from nonlinear perturbation of spherical accretion with variable adiabatic index
Nonlinear perturbations of transonic spherical accretion onto compact objects produce a dynamical effective acoustic geometry whose horizon shifts with the amplitudes of density, temperature, and mass-accretion-rate fluctuations.