Singularity Theorems in General Relativity: Achievements and Open Questions
José M. M. Senovilla
- Vol. 12, pp 305-316
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A brief overview of the acclaimed singularity theorems can be found in this article, which are often quoted as one of the greatest theoretical accomplishments in general relativity and mathematical physics.Abstract:
In this short note, written by a theoretical physicist, not a historian, I would like to present a brief overview of the acclaimed singularity theorems, which are often quoted as one of the greatest theoretical accomplishments in general relativity and mathematical physicsread more
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The 1965 Penrose singularity theorem
TL;DR: The first modern singularity theorem was published by Penrose in 1965 as discussed by the authors, which is the first genuine post-Einsteinian result in general relativity, where the fundamental and fruitful concept of the closed trapped surface was introduced.
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The Cosmological Singularity
TL;DR: The long story of the oscillatory approach to the initial cosmological singularity and its more recent incarnation in multidimensional universe models is described in this article, where the authors describe the evolution of the model.
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An elementary introduction to loop quantum gravity
TL;DR: An introduction to loop quantum gravity is given in this paper, focussing on the fundamental aspects of the theory, different approaches to the dynamics, as well as possible future directions, which requires only little prior knowledge of quantum mechanics, gauge theory, and general relativity.
Journal ArticleDOI
The 1965 Penrose singularity theorem
TL;DR: The first modern singularity theorem was published by Penrose in 1965 as discussed by the authors, which is the first genuine post-Einstenian result in General Relativity, where the fundamental and fruitful concept of closed trapped surface was introduced.
Journal ArticleDOI
Open problems in mathematical physics
TL;DR: In this paper, the authors present a list of open questions in mathematical physics, motivated by the recent article proposing 42 fundamental questions (in physics) which must be answered on the road to full enlightenment.
References
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The Large Scale Structure of Space-Time
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.
Journal ArticleDOI
The Singularities of gravitational collapse and cosmology
Stephen W. Hawking,Roger Penrose +1 more
TL;DR: In this article, a new theorem on space-time singularities is presented which largely incorporates and generalizes the previously known results and applies if the universe is spatially closed or there is an object undergoing relativistic gravitational collapse (existence of a trapped surface).
Journal ArticleDOI
On Continued Gravitational Contraction
TL;DR: In this paper, the authors study the solutions of the gravitational field equations which describe the contraction of a heavy star, and give general and qualitative arguments on the behavior of the metrical tensor as the contraction progresses.