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GHP: A maple package for performing calculations in the Geroch-Held-Penrose formalism. (English) Zbl 0986.83028
Authors’ abstract: We present a new symbolic algebra package, written for Maple, for performing computations in the Geroch-Held-Penrose formalism. We demonstrate the essential features and capabilities of our package by investigating Petrov-D vacuum solutions of Einstein’s equations.

83C60 Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism
83C05 Einstein’s equations (general structure, canonical formalism, Cauchy problems)
Full Text: DOI
[1] Andersson, F. (2000). Integration of the GHP Equations in Spacetimes Admitting a Geodesic Shear-Free Expanding Null Congruence. Preprint.
[2] Czapor, S. R. and McLenaghan, R. G. · Zbl 0613.53033 · doi:10.1007/BF00762558
[3] Czapor, S. R., McLenaghan, R. G. and Carminati, J. · Zbl 0758.53047 · doi:10.1007/BF00759122
[4] Edgar, S. B. and Ludwig, G. · Zbl 0789.53045 · doi:10.1007/BF02418213
[5] Edgar, S. B. and Ludwig, G. · Zbl 0868.53060 · doi:10.1023/A:1010200113770
[6] Edgar, S. B. and Ludwig, G. · Zbl 0893.53034 · doi:10.1023/A:1018820031537
[7] Edgar, S. B. and Ludwig, G. (1999). Integration in the GHP Formalism IV: A New Lie Derivative Operator Leading to an Efficient Treatment of Killing Vectors. Preprint. · Zbl 1006.83007
[8] Ellis, G. F. R · doi:10.1063/1.1705331
[9] Ellis, G. F. R. (1969). Relativistic Cosmology, General Relativity and Cosmology: Proc. Int. School of Physics ’Enrico Fermi’ (Course XLVII), R. K. Sachs, ed. (Academic Press, London, 1971).
[10] Geroch, R., Held, A. and Penrose, R · Zbl 0875.53014 · doi:10.1063/1.1666410
[11] Kolassis, C. and Ludwig, G. · Zbl 0786.53050 · doi:10.1007/BF00757073
[12] Ludwig, G. and Edgar, S. B. · Zbl 0857.53060 · doi:10.1007/BF02104837
[13] MacCallum, M. A. H. (1971). Cosmological Models from a Geometric Point of View (Carg‘ese), Vol. 6 (New York: Gordon and Breach).
[14] Penrose, R. and Newman, E · Zbl 0108.40905 · doi:10.1063/1.1724257
[15] Van den Bergh, N. (1988). Orthoframe: A Maple Package for Performing Calculations in the Orthonormal Tetrad Formalism. Preprint. · Zbl 0646.53060
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