A physically interesting singularity in general relativity

2025/10/10 by Holdom, Bob
#FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc)

paper · doi:10.48550/arxiv.2510.09506

Abstract

We explore what appears to be a very benign timelike and naked singularity of the Weyl curvature scalar. This singularity arises in an inhomogeneous generalization of the Einstein static universe. The matter energy density is everywhere finite and it vanishes at the singularity. The spacetime still enjoys causal geodesic completeness and unambiguous wave dynamics. Each singularity contributes to the Komar mass of the spacetime, and this reduces the required size of the positive cosmological constant. In an expanding universe, the effect of the singularities is to push the acceleration towards more positive values.

Citations

• Critical String Theory in a D=4 Robertson-Walker Background and the Large Scale Structure of Spacetime
• Singularity theorems in Schwarzschild spacetimes
• Negative mass
• A new proof of the positive energy theorem
• On the proof of the positive mass conjecture in general relativity

Related

• An Exploration of the Singularities in General Relativity
• Naked singularities and the Weyl Curvature Hypothesis
• The occurrence of singularities in cosmology
• The occurrence of singularities in cosmology. II
• Traversing Cosmological Singularities, Complete Journeys Through Spacetime Including Antigravity