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.

All the Clebsch–Gordan coefficients for SU(4) that would be required for particle physics, including those decomposed with respect to SU(3), are obtained by using the general formalism of Baird and Biedenharn.

%e present a homogeneous, plane-symmetric, matter-free solution to a new theory of gravitation. In the limit of large t, the solution goes over into the plane-symmetric Kasner metric of general relativity,

The field equations for a spherically symmetric perfect fluid in non-symmetric gravitational theory are cast as a set of first-order differential equations suitable for numerical integration. An analytic series solution is presented as an expansion around r=0. It is shows how interior solutions match with the exterior one and how, at the boundary, the Euler equation for the fluid becomes the equation of motion of a test particle in the exterior metric. An expression is derived from a conserved pseudotensor for the total mass-energy of a static body in terms of its interior matter parameters.

We present a plane-symmetric, homogeneous solution with matter in a theory of gravitation based on a non-symmetric Hermitian metric. The solution describes a universs which begins with finite 4-curvature, energy density, and temperature. The initial temperature T depends on a new parameterK in the theory. An analysis ofprimordial helium abundance gives rise to alower bound 72 101° K. The resulting cosmology is consistent with all presently known observations. Nous presentons une solution homogene a symetrie plane, en presence de matiere, dans une thtorie de la gravitation basee sur une metrique hermitique non symetrique. Cette solution decrit un univers qui commence avec des valeur_s finies pour la quadri-courbure, la densite d'energie et la temperature. La temperature initiale T depend d'un nouveau parametre K introd-uit dans la theorie. Une analyse de I'abondance primitive de I'helium fixe une limite inferieure T 2 101° K .La cosmologie resultante est compatible avec toutes les observations connues presentement.[Traduit par le journal] Can. J. Phys., 58,729(1980)