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On the Local Existence for the Characteristic Initial Value Problem in General Relativity
Characteristic Initial Value Problem General Relativity Analysis of PDEs
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2011/9/29
Abstract: Given a truncated incoming null cone and a truncated outgoing null cone intersecting at a two sphere $S$ with smooth characteristic initial data, a theorem of Rendall shows that the vacuum E...
Cylindrically Symmetric Scalar Field and its Lyapunov stability in General Relativity
Cylindrically Symmetric Scalar Field Lyapunov stability
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2010/11/26
In this paper we found an Exact solution for massless scalar field with cosmological constant.This exact solution generalized the Levi-Civita vacuum solution[8] to a massless scalar field,with a cosmo...