The GHP II package with applications

Vu, Khai and Carminati, John 2003, The GHP II package with applications, General relativity and gravitation, vol. 35, no. 2, pp. 263-283.

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Title The GHP II package with applications
Author(s) Vu, Khai
Carminati, John
Journal name General relativity and gravitation
Volume number 35
Issue number 2
Start page 263
End page 283
Publisher Kluwer Academic / Plenum Publishers
Place of publication Dordrecht, Netherlands
Publication date 2003-02
ISSN 0001-7701
1572-9532
Keyword(s) GHP
formalism
algebraic computing
shear
free fluids
Summary We present an advanced version of the Maple package GHP called GHPII. In it we provide a number of additional sophisticated tools to assist with problems formulated in the Geroch-Held-Penrose (ghp) formalism. The first part of this article discusses these new tools while in the second part we shall apply the ghp formalism, using the GHPII routines, to vacuum Petrov type D spacetimes and shear-free perfect fluids. We prove that for all shear-free perfect fluids with a barotropic equation of state, where two of the principal null directions are coplanar with the fluid four-velocity and vorticity then either the expansion or vorticity of the fluid must be zero.
Language eng
Field of Research 080204 Mathematical Software
HERDC Research category C1 Refereed article in a scholarly journal
Copyright notice ©2003, Plenum Publishing Corporation
Persistent URL http://hdl.handle.net/10536/DRO/DU:30002185

Document type: Journal Article
Collection: School of Information Technology
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