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arXiv · 1908.09394

Spontaneous scalarization of charged black holes in the Scalar-Vector-Tensor theory

Taishi Ikeda·Tomohiro Nakamura·Masato Minamitsuji
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Abstract

We present spontaneous scalarization of charged black holes (BHs) which is induced by the coupling of the scalar field to the electromagnetic field strength and the double-dual Riemann tensor $L^{\mu\nu\alpha\beta}F_{\mu\nu}F_{\alpha\beta}$ in a scalar-vector-tensor theory. In our model, the scalarization can be realized under the curved background with a non-trivial electromagnetic field, such as Reissner-Nordstr$\ddot{\rm o}$m Black Holes (RN BHs). Firstly, we investigate the stability of the constant scalar field around RN BHs in the model, and show that the scalar field can suffer a tachyonic instability. Secondly, the bound state solution of the test scalar field around a RN BH and its stability are discussed. Finally, we construct scalarized BH solutions, and investigate their stability.

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Taishi Ikeda, Tomohiro Nakamura, Masato Minamitsuji. 2019-08-25. Spontaneous scalarization of charged black holes in the Scalar-Vector-Tensor theory. https://doi.org/10.1103/physrevd.100.104014

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