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Dirac constraint analysis of a linearised theory of gravitation

G Kunstatter, H P Leivo and P Savaria

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Dirac's canonical formalism is applied to the Lagrangian of the linear approximation in the non-symmetric theory of gravitation proposed by Moffat (1979, 1982). Five dynamical degrees of freedom are found to exist in addition to the two graviton modes of general relativity. Although the Hamiltonian describing these five degrees of freedom is not bounded below, it is shown that there exists a unique subdynamics with positive definite Hamiltonian which contains precisely the single 'skewon' mode discussed in previous work.


PACS

04.20.Cv Fundamental problems and general formalism

04.20.Jb Exact solutions

04.25.-g Approximation methods; equations of motion

MSC

83C15 Exact solutions

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

83C25 Approximation procedures, weak fields

Subjects

Gravitation and cosmology

Dates

Issue 1 (January 1984)



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