Vanishing Cosmological Constant in Modified Gauss-Bonnet Gravity with Conformal Anomaly

TL;DR

This paper explores how quantum conformal matter influences a modified Gauss-Bonnet gravity model, demonstrating conditions under which the cosmological constant can vanish and discussing quantum-induced de Sitter universe creation.

Contribution

It introduces a Gauss-Bonnet gravity model with quantum effects that can lead to a vanishing cosmological constant, advancing understanding of dark energy in quantum-corrected gravity.

Findings

Conditions for zero cosmological constant identified

Quantum effects can induce de Sitter universe creation

Modified gravity model incorporates quantum conformal matter

Abstract

We consider dark energy cosmology in a de Sitter universe filled with quantum conformal matter. Our model represents a Gauss-Bonnet model of gravity with contributions from quantum effects. To the General Relativity action an arbitrary function of the GB invariant, f(G), is added, and taking into account quantum effects from matter the cosmological constant is studied. For the considered model the conditions for a vanishing cosmological constant are considered. Creation of a de Sitter universe by quantum effects in a GB modified gravity is discussed.