Computer Science – Programming Languages
Scientific paper
Mar 1983
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1983gregr..15..209m&link_type=abstract
General Relativity and Gravitation, vol. 15, Mar. 1983, p. 209-226.
Computer Science
Programming Languages
4
Computer Programs, Cosmology, Gravitation Theory, Hamiltonian Functions, Relativistic Theory, Space-Time Functions, Algebra, Dirac Equation, Programming Languages
Scientific paper
The paper describes the structure and the use of a program written in the algebraic programming language REDUCE 2, giving the super-Hamiltonian and supermomenta constraints, as well as Hamilton's canonical equations in terms of the canonical variables, for vacuum relativistic space-times. The program uses as input the components of the spatial metric tensor and of the corresponding canonically conjugate momenta in a coordinate or in a spatial Cartan basis. The results of the application of the program to a series of inhomogeneous (cosmological as well as noncosmological) space-times are given: in particular, the constraints, the Dirac Hamiltonian, and the canonical equations are explicitly written for axisymmetric space-times, constituting the starting point for the study of the dynamics and of the canonical quantization of these configurations.
Demaret Jacques
Moussiaux A.
Tombal Ph.
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