Kasner Epochs, Eras and Eons
Abstract: As shown in the classic work of Belinski, Khalatnikov and Lifshitz, the approach to a generic space-like singularity in general relativity consists of a sequence of eras and epochs in which the metric is locally Kasner, connected by brief transitions. When quantum gravity effects are included, we argue that a new type of transition arises, giving rise to Kasner eons: periods which are dominated by emergent physics at each energy scale. We comment on the different ways in which the Einsteinian eon may come to an end and show explicitly how additional Kasner eons arise in the interior of a black hole solution due to higher-derivative corrections.
- S. W. Hawking and G. F. R. Ellis, The Large Scale Structure of Space-Time. Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2, 2023, 10.1017/9781009253161.
- C. Bambi, Regular Black Holes. Springer Series in Astrophysics and Cosmology. Springer Singapore, 2023, 10.1007/978-981-99-1596-5.
- V. Belinski and M. Henneaux, The Cosmological Singularity. Cambridge Monogr.Math.Phys. Cambridge Univ. Pr., Cambridge, 2017, 10.1017/9781107239333.
- P. Bueno, P. A. Cano and R. A. Hennigar. To appear .
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.