Work

The solution space of a five-dimensional geometry: Kundt spacetimes and cosmological time-crystals

Year: 2024

Type: preprint

Abstract: We uncover the solution space of a five dimensional geometry which we deem it as the direct counterpart of the Bianchi Type V cosmological model. We kinematically reduce the scale factor matrix and then, with an appropriate scaling and choice of time, we cast the spatial equations into a simple "Kasner" like form; thus revealing linear integrals of motion. Their number is enough so that, along with the quadratic constraint, it suffices to scan the entire space of solutions. The latter is revealed to be quite rich, containing cosmological solutions, some of which admit dimensional reduction asymptotically to four dimensions, Kundt spacetimes with vanishing type I (polynomial) curvature scalars and solutions describing periodic universes which behave like cosmological time crystals.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2402.13665

Authors: Shababi, Homa, Grammenos, Theophanes, Dimakis, Nikolaos, Paliathanasis, Andronikos, Christodoulakis, Theodosios

Institutions: Sichuan University, University of Thessaly, Universidad de La Frontera, National and Kapodistrian University of Athens, Stellenbosch University

Language: English

Topic: Cosmology and Gravitation Theories

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funder: National Research Foundation

OpenAlex ID: W4392089969

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