Antisymmetric Metric Field as Dark Matter

Abstract

We consider the generation and evolution of quantum fluctuations of a massive nonsymmetric gravitational field (B-field) from inflationary epoch to matter era in the simplest variant of the nonsymmetric theory of gravitation (NGT), which consists of a gauge kinetic term and a mass term. We observe that quite generically a nonsymmetric metric field with mass, m_B ~ 0.03(H_I/10^(13) GeV)^4 eV, is a good dark matter candidate, where H_I denotes the inflationary scale. The most prominent feature of this dark matter is a peak in power at a comoving momentum, k ~ sqrt(m_B H_0)/(1+z_eq)^(1/4), where z_eq is the redshift at equality. This scale corresponds roughly to the Earth-Sun distance.