On the stability of exceptional Brans-Dicke wormholes
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arXiv
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| Main Authors: | , , , , |
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| Format: | Preprint |
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2025
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| _version_ | 1866915405675626496 |
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| author | Bronnikov, Kirill A. Bolokhov, Sergei V. Skvortsova, Milena V. Ibadov, Rustam Shaymanova, Feruza Y. |
| author_facet | Bronnikov, Kirill A. Bolokhov, Sergei V. Skvortsova, Milena V. Ibadov, Rustam Shaymanova, Feruza Y. |
| contents | In our previous papers we have analyzed the stability of vacuum and electrovacuum static, spherically symmetric space-times in the framework of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity. In the present paper, we continue this study by examining the stability of exceptional solutions of the Brans-Dicke theory with the coupling constant $ω=0$ that were not covered in the previous studies. Such solutions describe neutral or charged wormholes and involve a conformal continuation: the standard conformal transformation maps the whole Einstein-frame manifold ${\mathbb M}_E$ to only a part of the Jordan-frame manifold ${\mathbb M}_J$, which has to be continued beyond the emerging regular boundary S, and the new region maps to another manifold ${\mathbb M}_{E-}$. The metric in ${\mathbb M}_J$ is symmetric with respect to S only if the charge $q$ is zero. Our stability study concerns radial (monopole) perturbations, and it is shown that the wormhole is stable if $q \ne 0$ and unstable only in the symmetric case $q=0$ |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_17045 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the stability of exceptional Brans-Dicke wormholes Bronnikov, Kirill A. Bolokhov, Sergei V. Skvortsova, Milena V. Ibadov, Rustam Shaymanova, Feruza Y. General Relativity and Quantum Cosmology In our previous papers we have analyzed the stability of vacuum and electrovacuum static, spherically symmetric space-times in the framework of the Bergmann-Wagoner-Nordtvedt class of scalar-tensor theories (STT) of gravity. In the present paper, we continue this study by examining the stability of exceptional solutions of the Brans-Dicke theory with the coupling constant $ω=0$ that were not covered in the previous studies. Such solutions describe neutral or charged wormholes and involve a conformal continuation: the standard conformal transformation maps the whole Einstein-frame manifold ${\mathbb M}_E$ to only a part of the Jordan-frame manifold ${\mathbb M}_J$, which has to be continued beyond the emerging regular boundary S, and the new region maps to another manifold ${\mathbb M}_{E-}$. The metric in ${\mathbb M}_J$ is symmetric with respect to S only if the charge $q$ is zero. Our stability study concerns radial (monopole) perturbations, and it is shown that the wormhole is stable if $q \ne 0$ and unstable only in the symmetric case $q=0$ |
| title | On the stability of exceptional Brans-Dicke wormholes |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2507.17045 |