Topology of the ambient boundary and the convergence of causal curves

Antoniadis, Ignatios; Cotsakis, Spiros (2015). Topology of the ambient boundary and the convergence of causal curves. Modern Physics Letters A, 30(30), p. 1550161. World Scientific Publishing 10.1142/S0217732315501618

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We discuss the topological nature of the boundary spacetime, the conformal infinity of the ambient cosmological metric. Due to the existence of a homothetic group, the bounding spacetime must be equipped not with the usual Euclidean metric topology but with the Zeeman fine topology. This then places severe constraints to the convergence of a sequence of causal curves and the extraction of a limit curve, and also to our ability to formulate conditions for singularity formation.

Item Type:

Journal Article (Original Article)

Division/Institute:

10 Strategic Research Centers > Albert Einstein Center for Fundamental Physics (AEC)
08 Faculty of Science > Institute of Theoretical Physics

UniBE Contributor:

Antoniadis, Ignatios

Subjects:

500 Science > 530 Physics

ISSN:

0217-7323

Publisher:

World Scientific Publishing

Language:

English

Submitter:

Esther Fiechter

Date Deposited:

27 Aug 2015 13:28

Last Modified:

05 Dec 2022 14:49

Publisher DOI:

10.1142/S0217732315501618

ArXiv ID:

1505.04737v2

BORIS DOI:

10.7892/boris.71321

URI:

https://boris.unibe.ch/id/eprint/71321

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