Dynamics of a self-gravitating thin string in scalar-tensor theories of gravitation

Abstract

We examine the dynamics of a self-gravitating string in the scalar-tensor theories of gravitation by considering a thin tube of matter to describe it. For a class of solutions, we obtain in the generic case that the extrinsic curvature of the world sheet of the central line is null in the limit where the radius of the string tends to zero. However, if we impose a specific constraint on the behaviour of the solution then we find that only the mean curvature of the world sheet of the central line vanishes which is just the Nambu-Goto dynamics. This analysis can include the massless dilatonic theories of gravity.

10 pages, latex, no figures

References in corpus (1)

• Cosmic strings in dilaton gravity

Cited by in corpus (5)

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• Local cosmic strings in Brans-Dicke theory with a cosmological constant
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Cylindrically symmetric, static strings with a cosmological constant in Brans-Dicke theory
• Cosmic strings in axionic-dilatonic gravity