Junctions and thin shells in general relativity using computer algebra: I. The Darmois - Israel formalism
Peter MusgraveDepartment of Physics, Queen's University, Kingston, Ontario, CanadaKayll LakeDepartment of Physics, Queen's University, Kingston, Ontario, Canada
1996en
ABI
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.
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