Dual Nature of the Ricci Scalar, Creation of Spinless and Spin-1/2 Particles as Well as a New Cosmological Scenario I

TL;DR

This paper explores the dual role of the Ricci scalar in cosmology, deriving inhomogeneous models that can simulate gravitational effects of compact objects and demonstrate particle creation of spinless and spin-1/2 particles.

Contribution

It introduces a novel approach by utilizing the dual nature of the Ricci scalar to develop inhomogeneous cosmological models with particle creation mechanisms.

Findings

Inhomogeneous cosmological models exhibit gravitational effects of compact objects.

Demonstration of spinless and spin-1/2 particle production.

Models show potential for new cosmological scenarios.

Abstract

In earlier papers, it is found that the Ricci scalar behaves in dual manner (i) like a matter field and (ii) like a geometrical field. Using dual role of the Ricci scalar, inhomogeneous cosmological models are derived. The essential features of these models is capability of these to exhibit gravitational effect of compact objects also in an expanding universe. Here, production of spinless and spin-1/2 particles are demonstrated in these models.