Levi-Civita solutions coupled with electromagnetic fields
نویسندگان
چکیده
منابع مشابه
Cauchy Theory on Levi-civita Fields
We develop the basic elements of a Cauchy theory on the complex Levi-Civita field, which constitutes the smallest algebraically closed nonArchimedean extension of the complex numbers. We introduce a concept of analyticity based on differentiation, and show that it leads to local expandability in power series. We show that analytic functions can be integrated over suitable piecewise smooths path...
متن کاملAnalytical properties of power series on Levi-Civita fields
A detailed study of power series on the Levi-Civita fields is presented. After reviewing two types of convergence on those fields, including convergence criteria for power series, we study some analytical properties of power series. We show that within their domain of convergence, power series are infinitely often differentiable and reexpandable around any point within the radius of convergence...
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Preliminary results concerning non-quadratic (and non-bijective) transformations that exibit a degree of parentage with the well known Levi-Civita, Kustaanheimo-Stiefel, and Fock transformations are reported in this article. Some of the new transformations are applied to non-relativistic quantum dynamical systems in two dimensions.
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For any flag manifold G/T we obtain an explicit expression of its Levi-Civita connection with respect to any invariant Riemannian metric.
متن کاملOn parameters of the Levi-Civita solution
The Levi-Civita (LC) solution is matched to a cylindrical shell of an anisotropic uid. The uid satis es the energy conditions when the mass parameter is in the range 0 1. The mass per unit length of the shell is given explicitly in terms of , which has a nite maximum. The relevance of the results to the non-existence of horizons in the LC solution and to gauge cosmic strings is pointed out. PAC...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2001
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/18/21/312