artigo
Computer
Algebra in Space-time Embedding
Computer Algebra in
Space-time Embedding. 
(com Waldir L. Roque), Journal of Symbolic Computation, v. 12, n. 3,
pp. 381-389, set. 1991
Abstract
In this paper we describe an algorithm to determine the vectors normal
to a space-time V4 embedded in a pseudo-Euclidean manifold M4+n. An
application of this algorithm is given considering the Schwarzchild
space-time geometry embedded in a 6 dimensional pseudo-Euclidean
manifold, using the algebraic computing system REDUCE.
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Referências
- DAVENPORT,
J. H.; SIRET, Y. & TOURNIER,
E. Computer Algebra: Systems and Algorithms for
Algebraic Computation. Academic Press, 1988.
- EISENHART, L. P. Riemannian
Geometry. Princeton University Press, 1946.
- HAWKING, S. W. & Ellis, G. F.
R. The Large Scale Structure of Space-Time.
Cambridge University Press, 1973.
- HEARN,
A. C. REDUCE Manual.
The Rand Corporation, Santa Monica, 1986.
- MAIA, M. D. The Physics of
the Gauss-Codazzi-Ricci Equations. Mat. Aplic. Comp. 5,
283-292, 1986; On Kaluza-Klein Relativity.
Gen. Rel. Grav. 18, 695-699.
- MAIA, M.
D. & ROQUE, W. L. Classical
Membrane Cosmology. Phys. Lett. A 139, 121-124, 1988.
- RAYNA, G. REDUCE: A Software
for Algebraic Computation, Springer-Verlag, 1987.
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