Effect of Nut Parameter on the Analytic Extension of the Cauchy Horizon That Develop in Colliding Wave Space–times

Gürtuğ, Özay; Halilsoy, Mustafa

doi:10.1142/s0217751x09044243

Cited by 4 publications

(4 citation statements)

References 24 publications

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“…We find all deviations of the Weyl and Ricci scalars from the Einstein's gravity and compare also the geodesics to the first order. In analogy with the colliding electromagnetic [11] and Yang-Mills [13] shock waves our interaction region here also forms a horizon through which the spacetime can be extended analytically [14]. As the next step we may consider the case of R = R 0 =constant.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Colliding plane wave solution in F(R)=R^{N} gravity

Mazharimousavi,

Halilsoy,

Tahamtan

2011

Preprint

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We identify a region of F (R) = R N gravity without external sources which is isometric to the spacetime of colliding plane waves (CPW). From the derived curvature sources, N (N > 1) measures the strength (i.e. the charge) of the source. The analogy renders construction and collision of plane waves in F (R) = R N gravity possible, as in the Einstein-Maxwell (EM) theory, simply because R = 0. A plane wave in this type of gravity is equivalent to a Weyl curvature plus an electromagnetic energy-momentum-like term (i.e. 'source without source'). For N = 1 we recover naturally the plane waves (and their collision) in Einstein's theory. Our aim is to find the effect of an expanding universe by virtue of F (R) = R N on the colliding gravitational plane waves of Einstein.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Colliding plane wave solution in F(R)=R^{N} gravity

Mazharimousavi,

Halilsoy,

Tahamtan

2011

Preprint

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“…[1] and references therein). An analytic extension beyond the horizon (τ = 1), albeit it is a non -unique process, reveals the geodesics completeness and other issues [7].…”

Section: Colliding Eym Plane Wavesmentioning

confidence: 97%

“…An analytic extension beyond the horizon (τ = 1), albeit it is a non -unique process, reveals the geodesics completeness and other issues [7]. recovers the colliding gravitational waves locally isometric to the Schwarzschild interior[1].…”

Section: The Linear Polarization Limitmentioning

confidence: 99%

Restricted Class of Colliding Einstein–yang–mills Plane Waves

Gürtuğ

Halilsoy

2009

Int. J. Mod. Phys. A

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By gauging an Abelian electromagnetic (em) solution through a non-Abelian transformation and in accordance with a theorem proved long time ago, we construct a simple class of colliding Einstein-Yang-Mills (EYM) plane waves. The solution is isometric to the Wu-Yang charged KerrNewman (KN) black hole and shares much of the properties satisfied by colliding Einstein-Maxwell (EM) plane waves. In the linear polarization limit with unit degenerate charge it reduces to the Bell-Szekeres (BS) solution for colliding em shock waves. * Electronic address: ozay

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“…In this formalism different universes are patched together, ending up with new universes as white holes. Example of more general analytic extension with more parameters such as charge [35] and Newman-Unti-Tamburino (NUT) [36] also is available in the literature [37] 2.…”

Section: B Formulation Of the Cgw Problem In Double Null Coordinatesmentioning

confidence: 99%

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

Gurtug,

Halilsoy

2015

Preprint

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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) spacetime is locally isometric to the Kerr metric for rotating black holes. This relation came to be known as the CX duality. Such a duality can be exploited as an alternative derivation for the Kerr metric as we do herein. Not each case gives rise to a CH but those which do are transient to a black hole state provided stability requirements are met. These classical considerations can be borrowed to shed light on black hole formation in high energy collisions. Their questionable stability and many other sophisticated agenda, we admit that await for a full -fledged quantum gravity. Yet, to add an element of novelty, a quantum probe is sent in the plane θ = π/2 to the naked ring singularity of Kerr which develops for the overspinning case (a > M ) to test it from a quantum picture. We show that the spatial operator of the reduced Klein-Gordon equation has a unique self-adjoint extension. As a result, the classical Kerr's ring singularity is healed and becomes quantum regular. Our poetic message of the paper is summarized asLet there be light that collide with might to disperse the night and create holes that are white

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Effect of Nut Parameter on the Analytic Extension of the Cauchy Horizon That Develop in Colliding Wave Space–times

Cited by 4 publications

References 24 publications

Colliding plane wave solution in F(R)=R^{N} gravity

Colliding plane wave solution in F(R)=R^{N} gravity

Restricted Class of Colliding Einstein–yang–mills Plane Waves

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

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