A Spinor Theory of Gravity and the Cosmological Framework

TL;DR

This paper develops a cosmological framework within a novel spinor-based theory of gravity, where the metric is derived from fundamental spinor fields rather than being an independent dynamic entity, differing from General Relativity.

Contribution

It introduces a cosmological model based on a spinor formulation of gravity, where the metric is constructed from fundamental spinors, providing a new approach to gravitational and cosmological dynamics.

Findings

The metric is an effective construct from spinor fields, not an independent variable.

The theory reproduces Schwarzschild-like solutions for static, spherically symmetric objects.

A new cosmological framework consistent with the spinor gravity theory is proposed.

Abstract

Recently we have presented a new formulation of the theory of gravity based on an implementation of the Einstein Equivalence Principle distinct from General Relativity. The kinetic part of the theory - that describes how matter is affected by the modified geometry due to the gravitational field - is the same as in General Relativity. However, we do not consider the metric as an independent field. Instead, it is an effective one, constructed in terms of two fundamental spinor fields $\Psi$ and $\Upsilon$ and thus the metric does not have a dynamics of its own, but inherits its evolution through its relation with the fundamental spinors. In the first paper it was shown that the metric that describes the gravitational field generated by a compact static and spherically symmetric configuration is very similar to the Schwarzschild metric. In the present paper we describe the cosmological framework in the realm of the Spinor Theory of Gravity.