Axial symmetry cosmological constant vacuum solution of field equations with a curvature singularity, closed time-like curves, and deviation of geodesics

DOI10.1155/2020/8265872zbMath1451.83005arXiv1910.07876OpenAlexW3094999265MaRDI QIDQ827527

Faizuddin Ahmed, Bidyut Bikash Hazarika, Debojit Sarma

Publication date: 12 January 2021

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

Full work available at URL: https://arxiv.org/abs/1910.07876

Mathematics Subject Classification ID

Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) 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)

Cites Work

• Unnamed Item
• Unnamed Item
• Can a circulating light beam produce a time machine
• The large \(N\) limit of superconformal field theories and supergravity
• Rigidly rotating dust in general relativity
• A stationary cylindrically symmetric spacetime which admits CTCs and its physical interpretation
• Causality violating geodesics in Bonnor's rotating dust metric
• Axisymmetric pure radiation space-time with causality-violating geodesics
• 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
• Closed timelike curves in the Galileon model
• Spinning strings, black holes and stable closed timelike geodesics
• Type N Einstein space time machine spacetime
• Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves
• Cylindrically symmetric, asymptotically flat, Petrov type D spacetime with a naked curvature singularity and matter collapse
• Axially symmetric null dust space-time, naked singularity, and cosmic time machine
• Pure radiation metric with stable closed timelike curves
• Exact solutions of the Einstein-Maxwell equations with closed timelike curves
• The interactions between two classical spinning particles
• New Series of Exact Solutions for Gravitational Fields of Spinning Masses
• Invariant Formulation of Gravitational Radiation Theory
• Cylindrically symmetric pure radiation space-time and closed timelike geodesics
• Gravitational Field of a Spinning Mass as an Example of Algebraically Special Metrics
• Gravitational waves in vacuum spacetimes with cosmological constant. I. Classification and geometrical properties of nontwisting type N solutions
• Axial symmetry and conformal Killing vectors
• 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
• A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation
• Gödel-type metrics in various dimensions
• A singularity-free WEC-respecting time machine
• An exact, asymptotically flat, vacuum solution of Einstein s equations with closed timelike curves
• The double-Kerr solution
• On `an infinite perfect fluid in cylindrically symmetric steady differential rotation'
• A family of type N space-time with a negative cosmological constant and causality violation
• The Gravitational Compass
• Global Structure of the Kerr Family of Gravitational Fields
• Empty-Space Generalization of the Schwarzschild Metric
• IX.—The Gravitational Field of a Distribution of Particles Rotating about an Axis of Symmetry
• An Example of a New Type of Cosmological Solutions of Einstein's Field Equations of Gravitation
• Gravitational collapse of type N spacetime, the naked singularity, and causality violation
• Empty space-times admitting a three parameter group of motions

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