Cosmological solution with matter in a new theory of gravitation

Abstract

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)

The early universe in a generalized theory of gravitation

“…Plane symmetric solution of the field equationsThe field equations [2.5~1]-[2.5c] have been solved for the case of a homogeneous, plane symmetric (Bianchi type I) space-time in co-moving coordinates(12) with the metric…”

Experimental tests of a new theory of gravitation

“…A new theory of gravitation (1,2) has been developed on the basis of a nonsymmetric metric g,,, and some of its consequences for cosmology have been investigated (3). The phenomenological sources in the theory were provided with a physical interpretation in ref.…”

Gravitational waves from an axi-symmetric source in the Nonsymmetric Gravitational Theory

“…al. we shall write U 3 as 15) where N is the additional function of integration (the reason that U 3 is written in this way rather than as U 3 = N, and that the second function of integration in γ is written as C − 1 6 c 3 rather than as C, is that we can then identify N and C as the dipole and quadrupole moments of the source, respectively). Now the (ur) equation at next order:…”

“…Since NGT was introduced [10] there have been few analytic solutions of the field equations published. The exact solutions known to date include the spherically symmetric vacuum case [11], the spherically symmetric interior case [12,13] and Bianchi type I cosmological solutions with and without matter [14,15]. This, at least in part, follows from the fact that deriving NGT field equations relevant for particular cases of interest is not as technically simple as may be suggested by its superficial similarity to the corresponding GR situations.…”