A singularity-free space-time

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.

Latex 2.09, 14 pages

Cited by in corpus (15)

• Singularity Theorems and Their Consequences
• The 1965 Penrose singularity theorem
• T-Duality and Penrose limits of spatially homogeneous and inhomogeneous cosmologies
• An anisotropic, non-singular early universe model leading to a realistic cosmology
• Effect of Spin-Torsion Interaction on Raychaudhuri Equation
• Raychaudhuri equation in $k$-essence geometry: conditional singular and non-singular cosmological models
• Singularity-Free Cylindrical Cosmological Model
• A critical appraisal of the singularity theorems
• On trapped surface formation in gravitational collapse II
• A Cosmological Model with Dark Spinor Source
• Charge without charge, regular spherically symmetric solutions and the Einstein-Born-Infeld theory
• The holographic solution - Why general relativity must be understood in terms of strings
• Non-singular G2 stiff fluid cosmologies
• A New Type of Singularity Theorem
• Singularity free cosmological solutions of Einstein-Maxwell equations