# The role of cosmological constant in f(R, G) gravity

## TL;DR

This paper investigates how the cosmological constant influences the phase-space structure and quantization of f(R, G) gravity, highlighting its essential role in early universe cosmology.

## Contribution

It demonstrates the necessity of including the cosmological constant for consistent canonical quantization in f(R, G) gravity models.

## Key findings

- The phase-space structure is affected by the cosmological constant.
- Canonical quantization requires the presence of vacuum energy-density.
- The cosmological constant resolves contradictions in the quantization process.

## Abstract

Einstein-Hilbert action is supplemented by Gauss-Bonnet squared term, its phase-space structure is constructed and canonical quantization is performed. Resolution of a contradiction that emerges in the process, requires the presence of other fields at least in the form of vacuum energy-density, commonly known as the cosmological constant. This reveals the very importance of the presence of other fields at least in the form of cosmological constant, in the very early universe.