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On the stability of spherically symmetric space-times in scalar-tensor gravity

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arxiv 2309.01794 v2 pith:7QKRGLHE submitted 2023-09-04 gr-qc

Kirill A. Bronnikov , Sergei V. Bolokhov , Milena V. Skvortsova , Kodir Badalov , Rustam Ibadov This is my paper · ORCID
classification gr-qc
keywords stabilityfieldgravityinstabilityperturbationsscalarscalar-tensorsolution
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abstract

We study the linear stability of vacuum static, spherically symmetric solutions to the gravitational field equations of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity, restricting ourselves to nonphantom theories, massless scalar fields and configurations with positive Schwarzschild mass. We consider only small radial (monopole) perturbations as the ones most likely to cause an instability. The problem reduces to the same Schroedinger-like master equation as is known for perturbations of Fisher's solution of general relativity (GR), but the corresponding boundary conditions that affect the final result of the study depend on the choice of the STT and a particular solution within it. The stability or instability conclusions are obtained for the Brans-Dicke, Barker and Schwinger STT as well as for GR nonminimally coupled to a scalar field with an arbitrary parameter $\xi$.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. On the stability of exceptional Brans-Dicke wormholes

    gr-qc 2025-07 conditional novelty 6.0 of 10

    Charged exceptional Brans-Dicke wormholes with omega = 0 are stable against radial perturbations; neutral ones are unstable.

  2. Nonlinear electrodynamics and stability of spherically symmetric space-times in scalar-tensor gravity

    gr-qc 2026-07 accept novelty 5.0 of 10

    For NED with Maxwell weak-field limit, monopole stability of STT solutions with F=0 is identical to Maxwell-STT, and the zero-charge limit of V_eff erases all NED traces.

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