Lorentzian structure for warped product spaces and causality theory

Tsimperis, Georgios 2024. Lorentzian structure for warped product spaces and causality theory. MPhil Thesis, Cardiff University. Item availability restricted.

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Abstract

Product spaces with Lorentzian structure are of great importance as they have been shown that they admit a very well-behaving causal picture, avoiding general pathologies of causal relations (such as spaces manifesting causal bubbling) and they also constitute a set of models upon which, many physical cosmological models are built. This study focuses on the emergence of causal structure stemming from a warped product space geometry, where the base is a non-regular Lorentzian length space of any dimension. We prove that such spaces can provide an analogue of length spaces for Lorentzian geometry and that they also manifest the nice-to-have properties of Lorentzian warped product spaces with one-dimensional base.

Item Type:	Thesis (MPhil)
Date Type:	Completion
Status:	Unpublished
Schools:	Schools > Mathematics
Subjects:	Q Science > QA Mathematics
Date of First Compliant Deposit:	8 May 2025
Last Modified:	08 May 2025 13:12
URI:	https://orca.cardiff.ac.uk/id/eprint/178137

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