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Solitons of Induced Scalar Field and Their Stability

B. Saha
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Abstract

Exact particle-like static, spherically and/or cylindrically symmetric solutions to the equations of interacting scalar and electromagnetic field system have been obtained. We considered Freedman-Robertson-Walker (FRW) space-time as an external homogenous and isotropic gravitational field whereas the homogeneous and anisotropic Universe is given by the G$\ddot o$del model. Beside the usual solitonian solutions some special regular solutions know as droplets, anti-droplets and bags (confined in finite interval and having trivial value beyond it) have been obtained. It has been shown that in FRW space-time equations with different interaction terms may have stable solutions while within the scope of G$\ddot o$del model only the droplet-like and the hat-like configurations may be stable, if they are located in the region where $g^{00}>0$.

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B. Saha. 1998-11-13. Solitons of Induced Scalar Field and Their Stability. https://arxiv.org/abs/gr-qc/9811044

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