Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.
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From BTZ Perturbations to Schwarzian Modes: A Geometrical and Perturbative Analysis
Schwarzian modes emerge from the general solution of BTZ perturbations at finite temperature with no rotational modes present, and are equivalently obtained via a Kerr-Schild construction that connects to the double copy.