2025/07/22 by К. А. Бронников, Bronnikov, Kirill A., Sergei V. Bolokhov +7
Engineering · Mathematics · #Elasticity and Material Modeling #Elasticity and Wave Propagation #Geometric Analysis and Curvature Flows
paper · pdf · doi:10.48550/arxiv.2507.17045
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 ME to only a part of the Jordan-frame manifold \mathbb MJ, which has to be continued beyond the emerging regular boundary S, and the new region maps to another manifold \mathbb ME-. The metric in \mathbb MJ 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 ≠ 0 and unstable only in the symmetric case q=0