Type-IIB colliding plane waves

Gutperle, Michael; Pioline, Boris

doi:10.1088/1126-6708/2003/09/061

Cited by 10 publications

(10 citation statements)

References 35 publications

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“…The higher dimensional generalization of the 4-dimensional Bell-Szekeres solution with a n-form potential (by which we mean m = n and non-dilatonic) has been considered recently by Gutperle and Pioline in [18]. They found for their solution n 1 = 2n/(2n − 1) < 2 for n > 1 and that R 2 blows up at the junction.…”

Section: Physical Flux-cpw Solutionmentioning

confidence: 99%

“…As we will demonstrate in section 4, the later solutions however violate the OS junction conditions and are thus not acceptable. Recently, Gutperle and Pioline [18] has tried to construct the CPW in 10-dimensional IIB string theory with the self-dual form flux; for latter convenience, we call the general CPW with form flux the "flux-CPW". However, they found that the curvature invariants blow up at the junction so that the solutions cannot be used to describe the flux-CPW.…”

Section: Introductionmentioning

confidence: 99%

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Colliding Plane Waves in String Theory

Chen¹,

Chu²,

Furuta³

et al. 2004

J. High Energy Phys.

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We construct colliding plane wave solutions in higher dimensional gravity theory with dilaton and higher form flux, which appears naturally in the low energy theory of string theory. Especially, the role of the junction condition in constructing the solutions is emphasized. Our results not only include the previously known CPW solutions, but also provide a wide class of new solutions that is not known in the literature before. We find that late time curvature singularity is always developed for the solutions we obtained in this paper. This supports the generalized version of Tipler's theorem in higher dimensional supergravity. 10 4.2 Physical flux-CPW solution 13 4.3 Future singularity of the solution 14 5. Conclusions and Discussions 16 A. Ricci and Riemann tensors 17 B. On the O'Brien-Synge Junction Conditions and Beyond 18 C. CPW solution without flux 20 D. Boundary behaviour of the CPW solution 21 E. Incoming wave in the Brinkmann coordinates and Impulsive wavefront 23struct the CPW with an electromagnetic (EM) field shock wave profile [14]. In the setting they considered, a EM potential is included. Therefore a P.C. stress tensor is allowed; and so is the same for the Ricci tensor. Bell and Szekeres thus proposed to consider piecewise C 1 metric which admits a P.C. Ricci tensor. Since for a general piecewise C 1 metric, the Ricci tensor contains a δ-function singularity, it is necessary to impose further conditions on the piecewise C 1 metric such that the δ-function singularity does not appear. These are precisely the O'Brien-Synge (OS) junction conditions [15]. See our appendix B for a detailed exposition.Apart from the above-mentioned δ-function singularity, it is also possible that the curvature invariants R and R 2 1 blow up at the junction. This should be avoided for a physical solution and generally requires additional condition besides the Lichnerowicz/O'Brien-Synge junction conditions. Our section 3 contains a general discussion on this point.Most of the discussions of CPW have been limited to the 4-dimensional gravity with or without a EM field. Dilatonic gravitational CPW with a EM field has been considered [16]. Higher dimensional generalization of the Bell-Szekeres solution of Maxwell-Einstein gravity has also been attempted recently [17]. As we will demonstrate in section 4, the later solutions however violate the OS junction conditions and are thus not acceptable. Recently, Gutperle and Pioline [18] has tried to construct the CPW in 10-dimensional IIB string theory with the self-dual form flux; for latter convenience, we call the general CPW with form flux the "flux-CPW". However, they found that the curvature invariants blow up at the junction so that the solutions cannot be used to describe the flux-CPW. The goal of this paper is to construct regularly patched flux-CPW solution in string theory, and we find that the key ingredient is to turn on the dilaton field.

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Section: Physical Flux-cpw Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Colliding Plane Waves in String Theory

Chen¹,

Chu²,

Furuta³

et al. 2004

J. High Energy Phys.

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“…In [10], Gurses et.al discussed the CPW solutions in dilaton gravity, in higher dimensional gravity, and in higher dimensional Einstein-Maxwell theory. In [11], Gutperle and Pioline tried to construct the CPW solutions in the ten-dimensional gravity with self-dual form flux. However, their generalized BS-type solution (3.37) fails to satisfy the junction condition and is unphysical.…”

Section: Introductionmentioning

confidence: 99%

Two-Flux Colliding Plane Waves in String Theory

Chen¹,

Zhang²

2005

Commun. Theor. Phys.

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We construct the two-flux colliding plane wave solutions in higher dimensional gravity theory with dilaton, and two complementary fluxes. Two kinds of solutions has been obtained: Bell-Szekeres(BS) type and homogeneous type. After imposing the junction condition, we find that only Bell-Szekeres type solution is physically well-defined. Furthermore, we show that the future curvature singularity is always developed for our solutions. *

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“…Different authors addressed themselves to the more general problem but they obtained only perturbative and singular solutions. 23,24…”

Section: Colliding "P +2…-forms In "P +4…-dimensionmentioning

confidence: 99%

Colliding wave solutions from five-dimensional black holes and black p-branes

Halilsoy

Ünver

2006

Journal of Mathematical Physics

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We consider both the five-dimensional Myers-Perry and Reissner-Nordstrom black holes ͑BHs͒ and black p-branes in ͑4+ p͒-dimensions. By employing the isometry with the colliding plane waves ͑CPWs͒ we generate Cauchy-Horizon ͑CH͒ forming CPW solutions. From the five-dimensional vacuum solution through the Kaluza-Klein reduction the corresponding Einstein-Maxwell-dilaton solution is obtained. This CH forming cross polarized solution with the dilaton turns out to be a rather complicated nontype D metric. Since we restrict ourselves to the five-dimensional BHs we obtain exact solutions for colliding 2-and 3-form fields in ͑p +4͒-dimensions for p ജ 1. By dualizing these forms we can obtain also colliding ͑p +1͒-and ͑p +2͒-forms which are important processes in the low energy limit of the string theory. All solutions obtained are CH forming, implying that an analytic extension beyond is possible.

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Type-IIB colliding plane waves

Cited by 10 publications

References 35 publications

Colliding Plane Waves in String Theory

Colliding Plane Waves in String Theory

Two-Flux Colliding Plane Waves in String Theory

Colliding wave solutions from five-dimensional black holes and black p-branes

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