Remarks on the distributional Schwarzschild geometry | Zendy

Jakob Heinzle | Zendy; Roland Steinbauer | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Remarks on the distributional Schwarzschild geometry

Author(s) -

Jakob Heinzle,

Roland Steinbauer

Publication year - 2002

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.1448684

Subject(s) - schwarzschild radius , geometry , mathematics , schwarzschild metric , physics , classical mechanics , theoretical physics , mathematical physics , calculus (dental) , general relativity , gravitation , medicine , dentistry

This work is devoted to a mathematical analysis of the distributionalSchwarzschild geometry. The Schwarzschild solution is extended to include thesingularity; the energy momentum tensor becomes a delta-distribution supportedat r=0. Using generalized distributional geometry in the sense of Colombeau's(special) construction the nonlinearities are treated in a mathematicallyrigorous way. Moreover, generalized function techniques are used as a tool togive a unified discussion of various approaches taken in the literature so far;in particular we comment on geometrical issues.Comment: 13 pages, revtex4, to appear in JM

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research