2011/07/07 by Yukio Tomozawa, Tomozawa, Yukio · 5 citations
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #Gamma-ray bursts and supernovae #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Radio Astronomy Observations and Technology
paper · pdf · doi:10.48550/arxiv.1107.1424
openalex publication_date 2011/07/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.