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

Abstract

In this paper, we present a type D, non-vanishing cosmological constant, vacuum solution of the Einstein's field equations, extension of an axially symmetric, asymptotically flat vacuum metric with a curvature singularity. The space-time admits closed time-like curves (CTCs) that appear after a certain instant of time from an initial spacelike hypersurface, indicating it represents a time-machine space-time. We wish to discuss the physical properties and show that this solution can be interpreted as gravitational waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our treatment focuses on the analysis of the equation of geodesic deviation.

arXiv comment17 pages, accepted for publication in Adv. High Energy Physics journal

References in corpus (25)

• The warp drive: hyper-fast travel within general relativity
• A Superluminal Subway: The Krasnikov Tube
• A new time-machine model with compact vacuum core
• Axial symmetry and conformal Killing vectors
• Cosmic Strings and Chronology Protection
• Formation of closed timelike curves in a composite vacuum/dust asymptotically-flat spacetime
• Gravitational waves in vacuum spacetimes with cosmological constant. II. Deviation of geodesics and interpretation of non-twisting type N solutions
• Weak energy condition violation and superluminal travel
• Godel-Type Metrics in Various Dimensions
• Closed Timelike Curves in the Galileon Model
• Closed timelike curves in general relativity
• Causality violating geodesics in Bonnor's rotating dust metric
• Spinning Strings, Black Holes and Stable Closed Timelike Geodesics
• Time Machines Constructed from Anti-de Sitter Space
• A Type D Non-Vacuum Spacetime with Causality Violating Curves, and its Physical Interpretation
• A type N radiation field solution with $\Lambda <0$ in a curved space-time and closed time-like curves
• Axially symmetric, asymptotically flat vacuum metric with a naked singularity and closed timelike curves
• Extended time-travelling objects in Misner space
• Rigidly rotating dust in general relativity
• A singularity-free WEC-respecting time machine
• Axially Symmetric Null dust Spacetime, Naked Singularity and Cosmic Time Machine
• Can a circulating light beam produce a time machine?
• Cylindrically symmetric, Asymptotically flat, Petrov Type D spacetime with a Naked Curvature Singularity and Matter Collapse
• The Ori-Soen time machine
• Axial symmetry Type N space-time with a naked curvature singularity and Closed Time-like Curves