Exact solutions of the Einstein-Maxwell equations with closed timelike curves

  title={Exact solutions of the Einstein-Maxwell equations with closed timelike curves},
  author={William B. Bonnor and B. R. Steadman},
  journal={General Relativity and Gravitation},
We examine two electrovac spacetimes, the Kerr-Newman solution and another due to Perjes, which represent single charged, rotating, magnetic objects. Both contain regions with closed timelike curves (CTC), but these regions would be covered by the sources in any physical realisation of the spacetimes, so the CTC would not be detectable. We then study a stationary solution referring to two charged, rotating, magnetic objects. In general there is a region of CTC between the objects no matter how… 
A Type D Non-Vacuum Spacetime with Causality Violating Curves, and Its Physical Interpretation
We present a topologically trivial, non-vacuum solution of the Einstein's field equations in four-dimensions, which is regular everywhere. The metric admits circular closed timelike curves, which
Pure radiation metric with stable closed timelike curves
Here we present an example of an axially symmetric spacetime, representing pure radiation, and admitting circular closed timelike curves (CTCs) on the $$z= \hbox {constant plane}$$z=constant plane.
Axially Symmetric Type N Space-Time with Causality Violating Curves and the von Zeipel Cylinder
Abstract An axially symmetric nonvacuum solution of the Einstein field equations, regular everywhere and free from curvature divergence is presented. The matter-energy content is a the pure radiation
Type III Spacetime with Closed Timelike Curves
We present a cyclic symmetric space-time, admitting closed timelike curves (CTCs) which appear after a certain instant of time, i. e., a time-machine space-time. These closed time-like curves evolve
A spacetime with closed timelike geodesics everywhere
In the present article we find a new class of solutions of Einstein's field equations. It describes stationary, cylindrically symmetric spacetimes with closed timelike geodesics everywhere outside
Axisymmetric Pure Radiation Space–Time with Causality-Violating Geodesics
  • F. Ahmed
  • Physics
    Theoretical and Mathematical Physics
  • 2018
We present a stationary axisymmetric space–time admitting circular closed timelike geodesics everywhere within a finite region of space. The space–time is free from curvature divergence and is
Axially Symmetric, Asymptotically Flat Vacuum Metric with a Naked Singularity and Closed Timelike Curves
We present an axially symmetric, asymptotically flat empty space solution of the Einstein field equations containing a naked singularity. The space-time is regular everywhere except on the symmetry
Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse
We present a cylindrically symmetric, Petrov type D, nonexpanding, shear-free, and vorticity-free solution of Einstein’s field equations. The spacetime is asymptotically flat radially and regular
Unequal binary configurations of interacting Kerr-Newman black holes
In this paper, binary systems of unequal Kerr-Newman black holes located on the axis and apart by a massless strut are investigated. After adopting a fitting parametrization, the conditions on the


An exact, asymptotically flat, vacuum solution of Einstein's equations with closed timelike curves
Solutions of Einstein's equations representing spacetimes with closed timelike curves (CTC) are commonly dismissed as unrealistic. Recently I published approximate solutions, containing CTC, which
The double-Kerr solution
The exact double-Kerr solution of Kramer and Neugebauer is analysed by expanding it in powers of the masses m1, m2. For general values of the parameters the solution contains NUT sources and
The magnetic dipole interaction in Einstein-Maxwell theory
I derive an exact, static, axially symmetric solution of the Einstein?Maxwell equations representing two massless magnetic dipoles, and compare it with the corresponding solution of Einstein's
The interactions of charged, spinning, magnetized masses
I find an approximate axially symmetric stationary solution of the Einstein-Maxwell equations for a pair of charged, spinning, massive particles with a magnetic dipole moment. For general values of
The interactions between two classical spinning particles
Using an approximation method I consider the stationary axially symmetric solution of Einstein's equations for two spinning particles. In general there are two singularities. One represents a strut
Spinning C metric: Radiative spacetime with accelerating, rotating black holes
The spinning C-metric was discovered by Plebanski and Demianski as a generalization of the standard C-metric which is known to represent uniformly accelerated non-rotating black holes. We first
Conformastationary metrics - those of the form have been derived by Perjes and by Israel and Wilson as source-free solutions of the Einstein-Maxwell equations. By analogy with the conformastatic
The rotation axis for stationary and axisymmetric space-times
A set of 'extended' regularity conditions is discussed which have to be satisfied on the rotation axis if the latter is assumed to be also an axis of symmetry. For a wide class of energy-momentum
The field of charged, spinning, magnetic particles
Stationary solutions of the Einstein-Maxwell equations have recently been given corresponding to charged, spinning magnetic matter. In this paper a solution for two particles of such matter is given.
A Class of Stationary Electromagnetic Vacuum Fields
It is shown how a new class of stationary electromagnetic vacuum fields can be generated from solutions of Laplace's equation. These fields are a stationary generalization of the static