Pryce-Hoyle Tensor in a Combined Einstein-Cartan-Brans-Dicke Model

TL;DR

This paper explores a cosmological model combining Pryce-Hoyle tensor, scalar fields, and Brans-Dicke-Einstein-Cartan theory to describe inflation and post-inflation universe evolution, highlighting variable cosmological constant and matter injection effects.

Contribution

It introduces a novel combined framework integrating Pryce-Hoyle tensor with BCDE theory for inflation, emphasizing the role of scalar fields and variable cosmological constant.

Findings

Cosmological parameters decrease over time during inflation.

Total spin increases exponentially post-inflation.

Pryce-Hoyle tensor effects become negligible after inflation.

Abstract

In addition to introducing matter injection through a scalar field determined by Pryce-Hoyle tensor, we also combine it with a BCDE (Brans-Dicke-Einstein-Cartan) theory with lambdaterm developed earlier by Berman(2008), for inflationary scenario. It involves a variable cosmological constant, which decreases with time, jointly with energy density, cosmic pressure, shear, vorticity, and Hubble's parameter, while the scale factor, total spin and scalar field increase exponentially. The post-inflationary fluid resembles a perfect one, though total spin grows, but not the angular speed (Berman, 2007d). The Pryce-Hoyle tensor, which can measured by the number of injected particles per unit proper volume and time, as well as shear and vorticity, can be neglected in the aftermath of inflation ("no-hair").