Junctions and thin shells in general relativity using computer algebra I: The Darmois-Israel Formalism
Abstract
We present the GRjunction package which allows boundary surfaces and thin-shells in general relativity to be studied with a computer algebra system. Implementing the Darmois-Israel thin shell formalism requires a careful selection of definitions and algorithms to ensure that results are generated in a straight-forward way. We have used the package to correctly reproduce a wide variety of examples from the literature. We present several of these verifications as a means of demonstrating the packages capabilities. We then use GRjunction to perform a new calculation - joining two Kerr solutions with differing masses and angular momenta along a thin shell in the slow rotation limit.
Cite
@article{arxiv.gr-qc/9510052,
title = {Junctions and thin shells in general relativity using computer algebra I: The Darmois-Israel Formalism},
author = {P. Musgrave and K. Lake},
journal= {arXiv preprint arXiv:gr-qc/9510052},
year = {2009}
}
Comments
Minor LaTeX error corrected. GRjunction for GRTensorII is available from http://astro.queensu.ca/~grtensor/GRjunction.html