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Research Article Open access CC BY 4.0

Distributional Schwarzschild Geometry from Non Smooth Regularization Via Horizon

Jaykov Foukzon

Journal of Advances in Mathematics and Computer Science · pp. 1–28 · Published 11 Aug 2015

10.9734/BJMCS/2015/16961

Abstract

In this paper we leave the neighborhood of the singularity at the origin and turn to the singularity at the horizon. Using nonlinear distributional geometry and Colombeau generalized functions it seems possible to show that the horizon singularity is not only a coordinate singularity without leaving Schwarzschild coordinates. However the Tolman formula for the total energy ET of a static and asymptotically flat spacetime,gives ET = m, as it should be.

Colombeau nonlinear generalized functions Distributional Riemannian Geometry Distributional Schwarzschild Geometry Schwarzschild singularity Schwarzschild Horizon smooth regularization nonsmooth regularization.

Cited by 3

Was Polchinski Wrong? Colombeau Distributional Rindler Space-Time with Distributional Levi-Cività Connection Induced Vacuum Dominance. Unruh Effect Revisited

Jaykov Foukzon, Alexander Potapov, Elena Men’kova · Journal of High Energy Physics, Gravitation and Cosmology · 2018

The point free Colombeau geometry in singular general relativity. Part II

Ja. Foukzon, A.A. Potapov, E.R. Men'kova · Nonlinear World · 2022

Was Polchinski wrong? Colombeau distributional Rindler space-time with distributional Levi-Cività connection induced vacuum dominance. Unruh effect revisited

J Foukzon, E R Men'kova, A A Potapov · Journal of Physics: Conference Series · 2018

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