Work

On the stability of spherically symmetric relativistic configurations with scalar field

Year: 2026

Type: preprint

Abstract: Static spherically symmetric asymptotically flat configurations in General Relativity with a minimally coupled scalar field typically possess naked singularities. We study a linear stability of these configurations against radial (monopole) perturbations in case of power-law scalar field potentials. We employ a new shooting method that extracts the eigenvalues corresponding to the exponentially growing modes of the perturbation. The problem is reduced to one second order ``master'' equation in a divergent form with a regularized effective potential. We confirm our previous results showing that instability modes exist for sufficiently small scalar charges of the initial static configurations.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.04360

Authors: Tugay, Anatolii, Zhdanov, Valery, Taistra, Yurii

Institutions: Taras Shevchenko National University of Kyiv, National Technical University of Ukraine “Igor Sikorsky Kyiv Polytechnic Institute”, Pidstryhach Institute for Applied Problems of Mechanics and Mathematics

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: Ministry of Education and Science of Ukraine

OpenAlex ID: W7220699689

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