Singularity-free space-time

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We show that the solution published in the paper by Senovilla [Phys. Rev. Lett. 64, 2219 (1990)] is geodesically complete and singularity-free. We also prove that the solution satisfies the stronger energy and causality conditions, such as global hyperbolicity, the strong energy condition, causal symmetry, and causal stability. A detailed discussion about which assumptions in the singularity theorems are not satisfied is performed, and we show explicitly that the solution is in accordance with those theorems. A brief discussion of the results is given.
1992 The American Physical Society. The present work has been supported in part by DGICYT Project No. PB89-0142 (F.J.C.) and CICYT Project No. AEN90-0061 (J.M.M.S.); L. F. J. was supported by the Ministerio de Educacion y Ciencia (Spain). J.M.M.S. wishes to thank E. Ruiz for discussions.
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