Semiclassical Gravity and Large Scale Structure

TL;DR

This paper investigates how quantum gravitational effects from the Wheeler--De Witt equation could influence the evolution of primordial fluctuations and large-scale structure formation in the universe.

Contribution

It introduces a perturbative approach to estimate quantum corrections on scalar field fluctuations and presents preliminary numerical results on their impact.

Findings

Quantum corrections can modify the scalar fluctuation spectrum.

Preliminary simulations suggest potential effects on large-scale structure.

The approach provides a framework for integrating quantum gravity into cosmological models.

Abstract

The possible cosmological effects of primordial fluctuation corrections to the evolution equation of matter obtained from the Wheeler--De Witt equation are explored. In particular, both the metric and a scalar matter field are expanded around their homogeneous values and the corrections induced on the scalar field fluctuation spectrum are perturbatively estimated. Finally, results of a preliminary numerical simulation to investigate the effects on large--scale structure formation are presented.