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Résumé |
We propose a physically sensitive formulation of initial value problem for black
hole perturbations in higher-order scalar-tensor theories. As a first application,
we study monopole perturbations around stealth Schwarzschild solutions in a shift-
and reflection-symmetric subclass of DHOST theories. In particular, we investigate
the time evolution of the monopole perturbations by solving a two-dimensional wave
equation and analyze the Vishveshwara's classical scattering experiment, ie, the
time evolution of a Gaussian wave packet. As a result, we confirm that stealth
Schwarzschild solutions in the DHOST theory are dynamically stable against the
monopole perturbations with the wavelength comparable or shorter than the size of
the black hole horizon. We also find that the damped oscillations at the late time
do not show up unlike the ringdown phase in the standard case of general
relativity. This talk is based on our recent paper, 2204.05054 [gr-qc]. |
