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Title: Emergence of causality from the geometry of spacetimes
Author: Forbicia León, Roberto
Director/Tutor: Cirici, Joana
Keywords: Espai i temps
Treballs de fi de grau
Equacions de camp d'Einstein
Varietats diferenciables
Geometria diferencial global
Space and time
Bachelor's thesis
Einstein field equations
Differentiable manifolds
Global differential geometry
Issue Date: 21-Jun-2020
Abstract: [en] In this work, we study how the notion of causality emerges as a natural feature of the geometry of spacetimes. We present a description of the causal structure by means of the causality relations and we investigate on some of the different causal properties that spacetimes can have, thereby introducing the so-called causal ladder. We pay special attention to the link between causality and topology, and further develop this idea by offering an overview of some spacetime topologies in which the natural connection between the two structures is enhanced.
Note: Treballs Finals de Grau de Matemàtiques, Facultat de Matemàtiques, Universitat de Barcelona, Any: 2020, Director: Joana Cirici
Appears in Collections:Treballs Finals de Grau (TFG) - Matemàtiques

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