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Singular general relativity using the Colombeau approach. I. Distributional Schwarzschild geometry from nonsmooth regularization via horizon

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We studied the Schwarzschild solution using Colombeau distributional geometry [M. Kunzinger and R. Steinbauer, Trans. Am. Math. Soc. 354, 4179 (2002)], thus without leaving Schwarzschild coordinates.
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Keywords: Colombeau Generalized Functions; Colombeau Generalized Numbers; Colombeau Solutions of the Einstein Field Equations; Distributional Schwarzschild Spacetime; Generalized Einstein Field Equations; Point Free Distributional Geometry; Singular Semi-Riemannian Geometry

Document Type: Research Article

Affiliations: 1: 1Center for Mathematical Sciences, Israel Institute of Technology, Haifa 3200003, Israel 2: 2All-Russian Research Institute for Optical and Physical Measurements, Ozernaya Str. 46, Moscow 119361, Russia 3: 3Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Mokhovaya Str. 11, Building 7, Moscow 125009, Russia

Publication date: June 27, 2020

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