Cylindrically symmetric, asymptotically flat, Petrov type D spacetime with a naked curvature singularity and matter collapse

DOI10.1155/2017/7943649zbMath1366.83015arXiv1703.00166OpenAlexW3104441609WikidataQ59142202 ScholiaQ59142202MaRDI QIDQ2364323

Faizuddin Ahmed

Publication date: 18 July 2017

Published in: Advances in High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.00166

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Space-time singularities, cosmic censorship, etc. (83C75) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (8)

Type N Einstein space time machine spacetime ⋮ Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves, and deviation of geodesics ⋮ Axially symmetric null dust space-time, naked singularity, and cosmic time machine ⋮ Axial symmetry causality violating spacetime and the naked singularity ⋮ A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation ⋮ Axially symmetric type N space-time with a naked curvature singularity and closed timelike curves ⋮ Axially symmetric type N space-time with causality violating curves and the von Zeipel cylinder ⋮ Axisymmetric pure radiation space-time with causality-violating geodesics

Cites Work

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• Globally noncausal space-times. II: Naked singularities and curvature conditions
• Physical interpretation of vacuum solutions of Einstein's equations. II: Time-dependent solutions
• Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves
• Pure radiation metric with stable closed timelike curves
• The commutation property of a stationary, axisymmetric system
• Exact solutions of the Einstein-Maxwell equations with closed timelike curves
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Axial symmetry and conformal Killing vectors
• A title of cosmic censorship
• Exact Solutions of Einstein's Field Equations
• Closed timelike curves produced by pairs of moving cosmic strings: Exact solutions
• Must time-machine construction violate the weak energy condition?
• Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity
• Initial data and the end state of spherically symmetric gravitational collapse
• A simple derivation of the naked singularity in spherical dust collapse
• Effect of Inhomogeneity on Cosmological Models
• An exact, asymptotically flat, vacuum solution of Einstein s equations with closed timelike curves
• The Levi–Civita space–time
• On the definition of cylindrical symmetry
• Perfect-fluid sources for the Levi-Civita metric
• The Large Scale Structure of Space-Time
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
• Spherically Symmetrical Models in General Relativity
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• ‘Newtonian’ Time in General Relativity

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