On primordial matter production induced by spatial curvature in the early universe

TL;DR

This paper demonstrates that spatial curvature in the early universe can generate primordial matter through quantum gravity effects, affecting the universe's expansion history.

Contribution

It shows that nonzero spatial curvature induces primordial matter via quantum effects, a novel insight into early universe cosmology.

Findings

Spatial curvature produces primordial matter in an initially empty universe.

Primordial matter decays faster than radiation and follows a stiff equation of state.

Quantum effects modify the early universe's expansion dynamics.

Abstract

In this note, it is shown that nonvanishing spatial curvature produces primordial matter in the initially empty universe due to quantum gravity effects. This matter decays faster than radiation and is described by a stiff equation of state. The quantum Hamiltonian constraint equation for the universe with the maximally symmetric geometry is solved in the semi-classical approximation. The extra energy density and pressure of quantum origin that appear in the generalized Friedmann equations describe primordial matter and modify the expansion history of the early universe.