Journal ArticleDOI
Topology in general relativity
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In this article, a number of theorems and definitions which are useful in the global analysis of relativistic world models are presented, and it is shown in particular that changes in the topology of spacelike sections can occur if and only if the model is acausal.Abstract:
A number of theorems and definitions which are useful in the global analysis of relativistic world models are presented. It is shown in particular that, under certain conditions, changes in the topology of spacelike sections can occur if and only if the model is acausal. Two new covering manifolds, embodying certain properties of the universal covering manifold, are defined, and their application to general relativity is discussed.read more
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Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
TL;DR: The covariant holographic entropy conjecture of AdS/CFT relates the entropy of a boundary region R to the area of an extremal surface in the bulk spacetime as discussed by the authors.
Journal ArticleDOI
Spinor structure of space-times in general relativity. i
TL;DR: In this paper, it is proved that a necessary and sufficient condition for a non-compact space-time M to admit a spinor structure is that M have a global field of orthonormal tetrads.
Journal ArticleDOI
Cosmic Topology
TL;DR: In this paper, the main mathematical properties of multi-connected spaces, and the different tools to classify them and to analyse their properties are reviewed, and different possible muticonnected spaces which may be used to construct universe models are described.
Journal ArticleDOI
Shadows and strong gravitational lensing: a brief review
TL;DR: For ultra compact objects, light rings and fundamental photon orbits (FPOs) play a pivotal role in the theoretical analysis of strong gravitational lensing effects, and of BH shadows in particular as discussed by the authors.
References
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Book
The Topology of Fibre Bundles.
TL;DR: In this paper, a succint introduction to fiber bundles is provided, which includes such topics as differentiable manifolds and covering spaces, and a brief survey of advanced topics, such as homotopy theory and cohomology theory, before using them to study further properties of fibre bundles.
Book
The Direction of Time
Maria Reichenbach,P. Morrison +1 more
TL;DR: The Direction of Time as mentioned in this paper is the last book of Reichenbach's "Theoretical Directions of Time" series, which was published in the year of his centennial.
Journal ArticleDOI
Quelques proprietes globales des varietes differentiables
TL;DR: In this article, the authors present a set of résultats for the problem of triangulation of variétés différentiables in homologie mod 2.
Journal ArticleDOI
Investigations in relativistic cosmology
TL;DR: In this article, it was shown that the presence of a singularity with respect to time is not a necessary property of cosmological models of the general theory of relativity, and that the general case of an arbitrary distribution of matter and gravitational field does not lead to the appearance of singularity.
Journal ArticleDOI
The Philosophy of Space and Time
TL;DR: Reichenbach's translation from the original German Philosophic der Raum-Zeit-Lehre published in 1928 to the present edition is a tribute to the importance which scholars have come to attach to the author's researches during the intervening decades as discussed by the authors.