Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
Interior instability of naked singularities of a scalar field.arXiv preprint arXiv:2508.07655, 2025
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Establishes linearized stability of Christodoulou's one-parameter family of C^{1,α} continuous self-similar naked singularities for the Einstein-scalar field equations under same-regularity perturbations.
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Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations I: main results
Establishes nonlinear stability for continuously self-similar naked singularities in the Einstein-scalar field system under same-regularity perturbations in a localized Hölder topology, contrasting prior instability results under rough perturbations.
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Nonlinear stability of continuously self-similar naked singularities for the Einstein-scalar field equations II: linearized stability
Establishes linearized stability of Christodoulou's one-parameter family of C^{1,α} continuous self-similar naked singularities for the Einstein-scalar field equations under same-regularity perturbations.