Solving the characteristic initial value problem for colliding plane gravitational and electromagnetic waves

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dc.creatorAlekseev, G. A.
dc.creatorGriffiths, J. B.
dc.date2001-05-08
dc.date.accessioned2026-07-07T10:51:47Z
dc.date.available2026-07-07T10:51:47Z
dc.descriptionA method is presented for solving the characteristic initial value problem for the collision and subsequent nonlinear interaction of plane gravitational or gravitational and electromagnetic waves in a Minkowski background. This method generalizes the monodromy transform approach to fields with nonanalytic behaviour on the characteristics inherent to waves with distinct wave fronts. The crux of the method is in a reformulation of the main nonlinear symmetry reduced field equations as linear integral equations whose solutions are determined by generalized (``dynamical'') monodromy data which evolve from data specified on the initial characteristics (the wavefronts).
dc.description4 pages, RevTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/0105029
dc.identifierhttp://arxiv.org/abs/gr-qc/0105029
dc.identifierPhys.Rev.Lett.87:221101,2001
dc.identifierdoi:10.1103/PhysRevLett.87.221101
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184940
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.titleSolving the characteristic initial value problem for colliding plane gravitational and electromagnetic waves
dc.typetext

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