English

A singularity-free space-time

General Relativity and Quantum Cosmology 2009-11-10 v1

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.

Keywords

Cite

@article{arxiv.gr-qc/0403075,
  title  = {A singularity-free space-time},
  author = {F. J. Chinea and L. Fernandez-Jambrina and J. M. M. Senovilla},
  journal= {arXiv preprint arXiv:gr-qc/0403075},
  year   = {2009}
}

Comments

Latex 2.09, 14 pages