vix.ing · top · new · best · stats · spec

Penrose limits, the colliding plane-wave problem and the classical string backgrounds

2002/06/30 by A. Feinstein, Alexander Feinstein · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/19/21/304

published as Class.Quant.Grav. 19 (2002) 5353-5360 · Some misprints corrected. Matches the version in print. To appear in Classical & Quantum Gravity

arxiv created 2002/09/17 · openalex publication_date 2002/10/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We show how the Szekeres form of the line element is naturally adapted to study Penrose limits in classical string backgrounds. Relating the 'old' colliding wave problem to the Penrose limiting procedure as employed in string theory we discuss how two orthogonal Penrose limits uniquely determine the underlying target space when certain symmetry is imposed. We construct a conformally deformed background with two distinct, yet exactly solvable in terms of the string theory on R–R backgrounds, Penrose limits. Exploiting further the similarities between the two problems we find that the Penrose limit of the gauged WZW Nappi–Witten universe is itself a gauged WZW plane-wave solution of Sfetsos and Tseytlin. Finally, we discuss some issues related to singularity, show the existence of a large class of non-Hausdorff solutions with Killing–Cauchy horizons and indicate a possible resolution of the problem of the definition of quantum vacuum in string theory on these time-dependent backgrounds.

Citations

Cited by