Differential Geometry and its Applications

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Function of time type curvature and causality theory.pdf (358.92 KB)

Date

2019

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Elsevier

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Abstract

In the present paper various necessary and/or sufficient conditions in terms of the existence and properties of quasi-time functions, semi-time functions and generalized time functions are provided to get different levels of the causal ladder in spacetimes. We also show several links between curvature conditions and causality.

Description

Causality theory is a well established subject in Lorentzian manifolds and its importance is widely recognized. There are nice results where the levels of the causal ladder can be deduced starting from various assumptions.

Keywords

Casuality , Casual hierarchy , Generalized time function , Quasi-time function , Semi-time function , Null convergence condition

Citation

C. Atindogbe, M. GutiƩrrez, R. Hounnonkpe. (2019). Functions of time type, curvature and causality theory. Pg 114-124

URI

https://datad.aau.org/handle/123456789/1407

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