Corpus ID: 118694261

Wavy way to the Kerr metric and the quantum nature of its ring singularity

  title={Wavy way to the Kerr metric and the quantum nature of its ring singularity},
  author={O. Gurtug and M. Halilsoy},
  journal={arXiv: General Relativity and Quantum Cosmology},
From inherent non-linearity two gravitational waves, unless they are unidirectional, fail to satisfy a superposition law. They collide to develop a new spacetime carrying the imprints of the incoming waves. Same behaviour is valid also for any massless lightlike field. As a result of the violent collision process either a naked singularity or a Cauchy horizon (CH) develops. It was shown by Chandrasekhar and Xanthopoulos (CX) that a particular class of colliding gravitational waves (CGW… Expand

Figures from this paper


A note on the Klein–Gordon equation in the background of a rotating black hole
This short paper should serve as a basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main newExpand
Colliding Gravitational Waves
A coordinate system is described in which the problem of colliding plane waves may be discussed in general relativity and a particular solution expressible in elementary functions and representing at least a portion of such a collisional situation will be given. Expand
Gedanken experiments to destroy a black hole
Abstract It is widely believed that the complete gravitational collapse of a body always results in a black hole (i.e., “naked singularities” can never be produced) and that all black holesExpand
Structure of the singularities produced by colliding plane waves.
  • Yurtsever
  • Physics, Medicine
  • Physical review. D, Particles and fields
  • 1988
The equations prove that these horizons are unstable in the full nonlinear theory against small but generic perturbations of the initial data, and that in a very precise sense, ''generic'' initial data always produce all-embracing, spacelike curvature singularities without Killing-Cauchy horizons. Expand
Planckian-energy scattering, colliding plane gravitational waves and black hole creation
Abstract In a series of papers Amati, Ciafaloni and Veneziano and 't Hooft conjectured that black holes occur in the collision of two light particles at Planckian energies. In this paper we discuss aExpand
Self-force as a cosmic censor in the Kerr overspinning problem
It is known that a near-extremal Kerr black hole can be spun up beyond its extremal limit by capturing a test particle. Here we show that overspinning is always averted once backreaction from theExpand
The Kerr metric
This review describes the events leading up to the discovery of the Kerr metric in 1963 and the enormous impact the discovery has had in the subsequent 50 years. The review discusses the PenroseExpand
On the Nutku—Halil solution for colliding impulsive gravitational waves
The equations appropriate for space-times with two space-like Killing-vectors are set up, ab initio, and explicit expressions for the components of the Riemann, the Ricci, and the Einstein tensors inExpand
Effect of NUT parameter on the analytic extension of the Cauchy horizon that develop in colliding wave spacetimes
The Cauchy horizon forming colliding wave solution due to Chandrasekhar and Xanthopoulos (CX) has been generalized by inclusion of the NUT (Newman - Unti - Tamburino) parameter. This is done byExpand
The Kerr spacetime : rotating black holes in general relativity
List of illustrations Contributors Foreword Part I. General Relativity: Classical Studies of the Kerr Geometry: 1. The Kerr spacetime: a brief introduction Matt Visser 2. The Kerr and Kerr-SchildExpand