Quantum corrections to gravity

Abstract

This paper revisits quantum corrections to gravity. It was shown previously by other authors that quantum field theories in curved space time provide quadratic curvature forms as quantum corrections to gravity in a conformally flat metric. Application to a spherically symmetric and static (SSS) metric shows that only the Gauss Bonnet combination (GB) yields the correct expression. Using a variational method, the author shows that the metric he obtained in 1985 as an example in a simplified case was indeed the exact solution for a SSS metric. This proves that gravity becomes repulsive at short distances by quantum corrections.

References in corpus (3)

• Correlation of the highest-energy cosmic rays with the positions of nearby active galactic nuclei
• Cosmic rays from AGN, the knee energy mass scale and dark matter particles
• Search for a dark matter particle in high energy cosmic rays

Cited by in corpus (20)

• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Einstein gravity with Gauss-Bonnet entropic corrections
• Gravitationally decoupled strange star model beyond standard maximum mass limit in Einstein-Gauss-Bonnet gravity
• Amplitudes and 4D Gauss-Bonnet Theory
• Inconsistencies in four-dimensional Einstein-Gauss-Bonnet gravity
• Comment on "Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime"
• Quark Stars in 4D Einstein-Gauss-Bonnet gravity with an Interacting Quark Equation of State
• BTZ black holes with higher curvature corrections in the 3D Einstein-Lovelock theory
• Black hole with confining electric potential in scalar-tensor description of regularized 4-dimensional Einstein-Gauss-Bonnet gravity
• Bardeen Black Holes in the Regularized $4D$ Einstein--Gauss--Bonnet Gravity
• Superradiance and stability of the novel 4D charged Einstein-Gauss-Bonnet black hole
• Canonical variational completion and 4D Gauss-Bonnet gravity
• Instability of regularized 4D charged Einstein-Gauss-Bonnet de-Sitter black holes
• Stability of the Einstein Static Universe in $4D$ Gauss-Bonnet Gravity
• Eikonal quasinormal modes, photon sphere and shadow of a charged black hole in the 4D Einstein-Gauss-Bonnet gravity
• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
• Dimensional aspects of Lovelock-Lanczos gravity
• Image of the thin accretion disk around compact objects in the Einstein-Gauss-Bonnet gravity
• BE condensates of weakly interacting bosons in gravity fields
• Black Holes in 4D Einstein-Gauss-Bonnet gravity with exponential electrodynamics