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Fuchsian methods and spacetime singularities [PDF]

Classical and Quantum Gravity, 2004
Fuchsian methods and their applications to the study of the structure of spacetime singularities are surveyed. The existence question for spacetimes with compact Cauchy horizons is discussed. After some basic facts concerning Fuchsian equations have been
Rendall, A.
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On singularity-free spacetimes

Pramana, 1995
We consider here the metric for the singularity-free family of fluid models. The metric is unique for cylindrically symmetric space-time with metric potentials being separable functions of radial and time coordinates in the comoving coordinates. It turns out that fluid models separate out into two classes, withρ ≠µp in general butρ = 3p in particular ...
Naresh Dadhich, L K Patel, R Tikekar
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Tolerance for spacetime singularities

Foundations of Physics, 1996
A common reaction to the Penrose-Hawking singularity theorems is that Einstein's general theory of relativity contains the seeds of its own destruction. This attitude is critically examined. A more tolerant attitude toward spacetime singularities is recommended.
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Singularities in closed spacetimes

Classical and Quantum Gravity, 1985
The existence of singularities in closed universes is discussed without making any causality assumptions. It is argued that there must be singularities in closed universes in which the past null cones of points on some compact slice reconverge. This singularity can be localised to the past of the slice if a reconvergence condition on time-like ...
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Singularities in Cosmological Spacetimes

2014
Theorems state that gravitational collapse from generic but non-singular initial conditions results in some type of singular behavior. Here the nature of the resultant approach to the singularity is examined in spatially homogeneous, anisotropic, vacuum cosmological spacetimes .
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Visibility of a spacetime singularity

Physical Review D, 2007
We investigate here the causal structure of spacetime in the vicinity of a spacetime singularity. The particle and energy emission from such ultradense regions forming in gravitational collapse of a massive matter cloud is governed by the nature of nonspacelike paths near the same.
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Singularities in spacetimes with torsion

International Journal of Theoretical Physics, 1990
The author briefly comments on the question of whether or not the Hawking-Penrose singularity theorems are affected by the introduction of torsion. To that end, the corresponding generalization of the Raychaudhuri equation is considered. The paper, however, chiefly consists in proposals of what should be done in future work.
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Spike behavior in the approach to spacetime singularities

Physical Review D, 2020
David Garfinkle
exaly  

Spacetime without Singularities

We present a non-singular resolution to the Kerr spacetime by constructing the Planck Algebra over a discrete topological framework, where the spacetime manifold emerges as an infrared phenomenon. We demonstrate that the gravitational singularity is not a physical reality but a mathematical artifact of C^∞ differentiability at the Planck scale.
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Overspinning naked singularities in AdS3 spacetime

Physical Review D, 2021
Jorge Zanelli, Cristian Martinez, Matias Briceno   +2 more
exaly