Abstract
A new method for calculating the curvature tensor has been recently proposed by D. Hestenes. This method is a particular application of geometric calculus, which has been implemented in an algebraic programming language on the form of a package called GEOCALC. We show how to apply this package to the Schwarzchild case and we discuss the different results.
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References
Hestenes, D. (1986). Curvature calculations with spacetime algebra.International Journal of Theoretical Physics,25, 581–588.
Hestenes, D., and Gobcszyk, G. (1984).Clifford Algebra to Geometric Calculus, D. Reidel, Dordrecht.
Tombal, Ph., and Moussiaux, A. (1986). Algebraic programming of geometric calculus and Clifford algebra I.International Journal of Symbolic Computation, submitted.
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Moussiaux, A., Tombal, P. Curvature calculations with GEOCALC. Int J Theor Phys 26, 401–406 (1987). https://doi.org/10.1007/BF00672249
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DOI: https://doi.org/10.1007/BF00672249