A new type of singularity created by colliding gravitational waves

1986 ◽  
Vol 408 (1835) ◽  
pp. 175-208 ◽  
Keyword(s):  
Gravitational Waves ◽  
Space Time ◽  
Kerr Metric ◽  
Analytic Extension ◽  
Type D ◽  
Null Surface ◽  
Kerr Space ◽  
New Type ◽  
Colliding Gravitational Waves ◽  
Petrov Type D

An exact solution is obtained for colliding plane impulsive gravitational waves accompanied by shock waves, which, in contrast to other known solutions, results in the development of a null surface which acts like an event horizon. The analytic extension of the solution across the null surface reveals the existence of time-like curvature singularities along two hyperbolic arcs in the extended domain, reminiscent of the ring singularity of the Kerr metric. Besides, the space-time, in the region of the interaction of the colliding waves, is of Petrov-type D and locally isometric to the Kerr space-time in a region interior to the ergosphere. Various other aspects of the solution are also discussed.

scholarly journals Noether Gauge Symmetries for Petrov Type D-Levi-Civita Space-Time in Spherical and Cylindrical Coordinates

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Adil Jhangeer ◽  
Tayyaba Naz
Keyword(s):  
Space Time ◽  
Petrov Type ◽  
Conserved Quantities ◽  
Restricted Range ◽  
Cylindrical Coordinates ◽  
Type D ◽  
Gauge Symmetries ◽  
Petrov Type D

Petrov Type D-Levi-Civita (DLC) space-time is considered in two different coordinates, that is, spherical and cylindrical. Noether gauge symmetries and their corresponding conserved quantities for respective metric with the restricted range of parameters and coordinates are discussed.

scholarly journals Twisted gravitational waves of Petrov type D

2018 ◽  
Vol 98 (6) ◽  
Author(s):  
Kjell Rosquist ◽  
Donato Bini ◽  
Bahram Mashhoon
Keyword(s):  
Gravitational Waves ◽  
Petrov Type ◽  
Type D ◽  
Petrov Type D

Type-D solutions describing the collision of plane-fronted gravitational waves

1988 ◽  
Vol 417 (1853) ◽  
pp. 417-431 ◽  
Keyword(s):  
Shock Waves ◽  
Exact Solutions ◽  
Gravitational Waves ◽  
Event Horizon ◽  
Surface Acting ◽  
Null Geodesics ◽  
Type D ◽  
Null Surface ◽  
Einstein Vacuum Equations ◽  
Einstein Vacuum

Some exact solutions of the Einstein vacuum equations describing the collision of plane-fronted gravitational shock waves accompanied by impulsive waves which produces a type-D geometry in the region of interaction are presented. The collision results in the development of a null surface acting like an event horizon, and the metric has been analytically extended beyond it by using Kruskal coordinates properly adapted to the problem. The extension shows that all null rays emerging from the interaction region escape to infinity: no focusing is present on the horizon. The connection between focusing and creation of singularities has also been investigated by analysing the behaviour of a particular congruence of null geodesics.

scholarly journals Cylindrically Symmetric, Asymptotically Flat, Petrov Type D Spacetime with a Naked Curvature Singularity and Matter Collapse

2017 ◽  
Vol 2017 ◽  
pp. 1-6 ◽  
Author(s):  
Faizuddin Ahmed
Keyword(s):  
Cosmic Time ◽  
Petrov Type ◽  
Energy Conditions ◽  
Anisotropic Fluid ◽  
Curvature Singularity ◽  
Field Equations ◽  
Asymptotically Flat ◽  
Type D ◽  
Cylindrically Symmetric ◽  
Petrov Type D

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 everywhere except on the symmetry axis where it possesses a naked curvature singularity. The energy-momentum tensor of the spacetime is that for an anisotropic fluid which satisfies the different energy conditions. This spacetime is used to generate a rotating spacetime which admits closed timelike curves and may represent a Cosmic Time Machine.

scholarly journals Bargmann–Wigner formulation and superradiance problem of bosons and fermions in Kerr space–time

2015 ◽  
Vol 30 (11) ◽  
pp. 1550052 ◽  
Author(s):  
Masakatsu Kenmoku ◽  
Y. M. Cho
Keyword(s):  
Negative Energy ◽  
Space Time ◽  
The Other ◽  
Positive Energy ◽  
Independent Components ◽  
Consistent Description ◽  
Other Hand ◽  
Kerr Space

The superradiance phenomena of massive bosons and fermions in the Kerr space–time are studied in the Bargmann–Wigner formulation. In case of bi-spinor, the four independent components spinors correspond to the four bosonic freedom: one scalar and three vectors uniquely. The consistent description of the Bargmann–Wigner equations between fermions and bosons shows that the superradiance of the type with positive energy (0 < ω) and negative momentum near horizon (p H < 0) is shown not to occur. On the other hand, the superradiance of the type with negative energy (ω < 0) and positive momentum near horizon (0 < p H ) is still possible for both scalar bosons and spinor fermions.

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