Black holes with dark matter halos in scalar-tensor gravity exhibit scalarization and superradiant instability in some parameter regions, with halo size and mass affecting outcomes for small halos but coupling constant α dominating for large ones.
Stability Analysis of Spherically Symmetric Star in Scalar-Tensor Theories of Gravity
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abstract
A stability analysis of a spherically symmetric star in scalar-tensor theories of gravity is given in terms of the frequencies of quasi-normal modes. The scalar-tensor theories have a scalar field which is related to gravitation. There is an arbitrary function, the so-called coupling function, which determines the strength of the coupling between the gravitational scalar field and matter. Instability is induced by the scalar field for some ranges of the value of the first derivative of the coupling function. This instability leads to significant discrepancies with the results of binary-pulsar-timing experiments and hence, by the stability analysis, we can exclude the ranges of the first derivative of the coupling function in which the instability sets in. In this article, the constraint on the first derivative of the coupling function from the stability of relativistic stars is found. Analysis in terms of the quasi-normal mode frequencies accounts for the parameter dependence of the wave form of the scalar gravitational waves emitted from the Oppenheimer-Snyder collapse. The spontaneous scalarization is also discussed.
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Scalarization and superradiant instability of black hole induced by dark matter halo in the scalar-tensor theory of gravity
Black holes with dark matter halos in scalar-tensor gravity exhibit scalarization and superradiant instability in some parameter regions, with halo size and mass affecting outcomes for small halos but coupling constant α dominating for large ones.
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