9. Jaykov Foukzon, Elena R. Men’kova, and Alexander A. Potapov, Singular general relativity using the Colombeau approach. I. Distributional Schwarzschild geometry from nonsmooth regularization via horizon

$25.00 each

All articles published since 1988 (over 1500 articles) can be accessed for only U.S.$139.99 with a special discounted personal online subscription to the journal. Please click here.

 

For purchase of this item, please read the instructions

 

Volume 33: Pages 180-199, 2020

 

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

 

Jaykov Foukzon,1,a) Elena R. Men’kova,2 and Alexander A. Potapov3,4

 

1Center for Mathematical Sciences, Israel Institute of Technology, Haifa 3200003, Israel 

2All-Russian Research Institute for Optical and Physical Measurements, Ozernaya Str. 46, Moscow 119361, Russia

3Kotelnikov Institute of Radioengineering and Electronics, Russian Academy of Sciences, Mokhovaya Str. 11, Building 7, Moscow 125009, Russia

4JNU-IREE Joint Laboratory of Fractal Method and Signal Processing, Department of Electronic Engineering, College of Information Science and Technology, Jinan University, Guangzhou, China

 

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

 

Nous avons étudié la solution de Schwarzschild en utilisant la géométrie distributionnelle de Colombeau [M. Kunzinger, R. Steinbauer, Trans. Amer. Math. Soc. 354, 4179 (2002). https://doi.org/10.1090/S0002-9947-02-03058-1], donc sans laisser les coordonnées de Schwarzschild.

 

Key words: Singular Semi-Riemannian Geometry; Colombeau Generalized Functions; Colombeau Generalized Numbers; Distributional Schwarzschild Spacetime; Point Free Distributional Geometry; Generalized Einstein Field Equations; Colombeau Solutions of the Einstein Field Equations.

 

Received: March 21, 2017; Accepted: April 12, 2020; Published Online: May 5, 2020

 

a) This email address is being protected from spambots. You need JavaScript enabled to view it.