A singularity-free space-time

TL;DR

This paper demonstrates a specific space-time solution that is free of singularities, geodesically complete, and satisfies strong energy and causality conditions, challenging traditional singularity theorems.

Contribution

It provides a detailed proof that a particular space-time solution is singularity-free and complies with key physical and causal conditions, expanding understanding of possible space-time geometries.

Findings

Solution is geodesically complete and singularity-free

Satisfies global hyperbolicity and causal stability

Aligns with singularity theorems despite non-fulfillment of some assumptions

Abstract

We show that the solution published in Ref.1 is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, causal symmetry and causal stability. A detailed discussion about which assumptions in the singularity theorems are not fulfilled is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given.