The branch process of the cosmic strings

Abstract

In the light of $\varphi$-mapping method and the topological tensor current theory, the topological structure and the topological quantization of topological defects are obtained under the condition that Jacobian $J(\varphi /v)\ne 0$. When $J(\varphi /v)=0$, it is shown that there exists the crucial case of branch process. Based on the implicit function theorem and the Taylor expansion, the generation, annihilation and bifurcation of the linear defects are detailed in the neighborhoods of the limit points and bifurcation points of $\varphi$-mapping, respectively.

8 pages, 10 figures

References in corpus (4)

• Strings, loops and others: a critical survey of the present approaches to quantum gravity
• Gravitational Lensing Signature of Long Cosmic Strings
• Graviton Spectra in String Cosmology
• The topological structure of the vortices in the O(n) symmetric TDGL model

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• Haldane's Instanton in 2D Heisenberg model revisited: along the Avenue of Topology
• A New Description of Cosmic Strings in Brane World Scenario