Geodesic Behaviour around Cosmological Milestones

Abstract

In this paper we provide a thorough classification of Friedman-Lemaître-Robertson-Walker (FLRW) cosmological models in terms of the strong or weak character of their singularities according to the usual definitions. The classification refers to a generalised Puiseux power expansion of the scale factor of the model around a singular event.

9 pp. Uses jpconf.cls. Published in XXIXth Spanish Relativity Meeting (ERE 2006): Einstein's Legacy: from the Theoretical Paradise to Astrophysical Observations. Eds: P. Apostolopoulos, C. Bona, J. Carot, Ll. Mas, A.M. Sintes, J. Stela

References in corpus (13)

• The final state and thermodynamics of dark energy universe
• Quantum escape of sudden future singularity
• Consistent modified gravity: dark energy, acceleration and the absence of cosmic doomsday
• More General Sudden Singularities
• Geodesic behavior of sudden future singularities
• New Isotropic and Anisotropic Sudden Singularities
• Classification of cosmological milestones
• Necessary and sufficient conditions for big bangs, bounces, crunches, rips, sudden singularities, and extremality events
• Inhomogenized sudden future singularities
• Statefinders, higher-order energy conditions and sudden future singularities
• Sudden future singularities in FLRW cosmologies
• Quantum effects, soft singularities and the fate of the universe in a braneworld cosmology
• Strings at future singularities

Cited by in corpus (5)

• Viability of bouncing cosmology in energy-momentum-squared gravity
• Geodesics at Sudden Singularities
• Generic absence of strong singularities and geodesic completeness in modified loop quantum cosmologies
• Effects of a Late Gravitational Transition on Gravitational Waves and Anticipated Constraints
• What can the anthropic principle tell us about the future of the dark energy universe?