Cyclic cosmology and geodesic completeness. (English) Zbl 1505.83028
MSC:
| 83E05 | Geometrodynamics and the holographic principle |
| 83D05 | Relativistic gravitational theories other than Einstein’s, including asymmetric field theories |
| 83C75 | Space-time singularities, cosmic censorship, etc. |
| 58J47 | Propagation of singularities; initial value problems on manifolds |
| 83C30 | Asymptotic procedures (radiation, news functions, \(\mathcal{H} \)-spaces, etc.) in general relativity and gravitational theory |
| 94A17 | Measures of information, entropy |
| 53C18 | Conformal structures on manifolds |
References:
| [1] | Borde, Arvind; Guth, Alan H.; Vilenkin, Alexander, Inflationary space-times are incompletein past directions, Phys. Rev. Lett., 90 (2003) · doi:10.1103/PhysRevLett.90.151301 |
| [2] | Tolman, Richard C., On the Theoretical Requirements for a Periodic Behaviour of the Universe, Phys. Rev., 38, 1758 (1931) · Zbl 0003.18002 · doi:10.1103/PhysRev.38.1758 |
| [3] | Ijjas, Anna; Steinhardt, Paul J., A new kind of cyclic universe, Phys. Lett. B, 795, 666-672 (2019) · doi:10.1016/j.physletb.2019.06.056 |
| [4] | Ijjas, Anna; Steinhardt, Paul J., Entropy, black holes, and the new cyclic universe, Phys. Lett. B, 824 (2022) · doi:10.1016/j.physletb.2021.136823 |
| [5] | Lehners, Jean-Luc, Ekpyrotic and Cyclic Cosmology, Phys. Rept., 465, 223-263 (2008) · doi:10.1016/j.physrep.2008.06.001 |
| [6] | Aguirre, Anthony; Gratton, Steven, Steady state eternal inflation, Phys. Rev. D, 65 (2002) · doi:10.1103/PhysRevD.65.083507 |
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