Singularity Theorems and Their Consequences
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A detailed study of the singularity theorems is presented in this article, where the authors discuss the plausibility and reasonability of their hypotheses, applicability and implications of singularity theories, as well as the theorem itself.Abstract:
A detailed study of the singularity theorems is presented. I discuss the plausibility and reasonability of their hypotheses, the applicability and implications of the theorems, as well as the theorems themselves. The consequences usually extracted from them, some of them without the necessary rigour, are widely and carefully analysed with many clarifying examples and alternative views.read more
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Journal ArticleDOI
The Bardeen model as a nonlinear magnetic monopole
Eloy Ayón-Beato,Alberto García +1 more
TL;DR: In this article, the Bardeen model is interpreted as the gravitational field of a nonlinear magnetic monopole, i.e., as a magnetic solution to Einstein equations coupled to a non-linear electrodynamics.
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New regular black hole solution from nonlinear electrodynamics
Eloy Ayón-Beato,Alberto García +1 more
TL;DR: Using a nonlinear electrodynamics coupled to General Relativity, a new regular exact black hole solution was found in this paper, where the nonlinear theory reduces to the Maxwell one in the weak limit, and the solution corresponds to a charged black hole for |q|≤2s c m≈1.05 m, with metric, curvature invariants, and electric field regular everywhere.
BookDOI
The causal hierarchy of spacetimes
Ettore Minguzzi,Miguel Sánchez +1 more
TL;DR: In this article, the full causal ladder of spacetimes is constructed, and their updated main properties are developed, with emphasis in minimum hypotheses, and the implications of the recently solved "folk questions on smoothability", and alternative proposals (as recent isocausality), are also summarized.
Journal ArticleDOI
Super-energy tensors
TL;DR: In this paper, a simple and purely algebraic construction of super-energy tensors for arbitrary fields is presented in any dimensions, and they can be used in any theory having as basic arena an n-dimensional manifold with a metric of Lorentzian signature.
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Globally hyperbolic spacetimes can be defined as ‘causal’ instead of ‘strongly causal’
Antonio N. Bernal,Miguel Sánchez +1 more
TL;DR: In this article, the authors show that the requirements on the spacetime in the classical definition of causal simplicity (i.e. to be distinguishing plus the closedness of J+(p), J−(q)) can be weakened by requiring only to be causal instead of distinguishing.
References
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TL;DR: In this paper, the authors discuss the General Theory of Relativity in the large and discuss the significance of space-time curvature and the global properties of a number of exact solutions of Einstein's field equations.
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Cosmic Strings and Other Topological Defects
TL;DR: In this article, the authors discuss the role of topological defects in the early universe and the evolution of string fields and their relationship with the structure formation of strings, including superconducting and global strings.