Sign on

SAO/NASA ADS Astronomy Abstract Service

· Find Similar Abstracts (with default settings below)
· Electronic Refereed Journal Article (HTML)
· arXiv e-print (arXiv:gr-qc/0006017)
· References in the article
· Citations to the Article (5) (Citation History)
· Refereed Citations to the Article
· Also-Read Articles (Reads History)
·
· Translate This Page
Title:
On the convergence of Regge calculus to general relativity
Authors:
Brewin, Leo C.; Gentle, Adrian P.
Affiliation:
AA(Department of Mathematics and Statistics, Monash University, PO Box 28M, Victoria 3800, Australia), AB(Department of Mathematics and Statistics, Monash University, PO Box 28M, Victoria 3800, Australia)
Publication:
Classical and Quantum Gravity, Volume 18, Issue 3, pp. 517-525 (2001).
Publication Date:
02/2001
Origin:
IOP
DOI:
10.1088/0264-9381/18/3/311
Bibliographic Code:
2001CQGra..18..517B

Abstract

Motivated by a recent study which cast doubt on the correspondence between Regge calculus and general relativity in the continuum limit, we explore a mechanism by which the simplicial solutions can converge, whilst the residual of the Regge equations evaluated on the continuum solutions does not. By directly constructing simplicial solutions for the Kasner cosmology we show that the oscillatory behaviour of the discrepancy between the Einstein and Regge solutions reconciles the apparent conflict between the results of Brewin and those of previous studies. We conclude that solutions of Regge calculus are, in general, expected to be second-order accurate approximations to the corresponding continuum solutions.
Bibtex entry for this abstract   Preferred format for this abstract (see Preferences)
   

Find Similar Abstracts:

Use: Authors
Title
Abstract Text
Return: Query Results Return    items starting with number
Query Form
Database: Astronomy
Physics
arXiv e-prints