Generalized Xanthopoulos theorem in the low-energy limit of string theory

Details Generalized Xanthopoulos theorem in the low-energy limit of string theory Generalized Xanthopoulos theorem in the low-energy limit of string theory

Nov 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998phrvd..58j4019c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 58, Issue 10, 15 November 1998, id. 104019

Physics

2

Exact Solutions, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

It is proved that if (gμν,Fμν,φ,η) is an exact solution of the Einstein-Maxwell-dilaton-axion equations, then (gμν+lμlν,Fμν,φ,η) is also an exact solution of those equations if and only if (lμlν,0,0,0) satisfies the Einstein-Maxwell-dilaton-axion equations linearized about (gμν,Fμν,φ,η), provided that the null vector field lμ be simultaneously a principal null direction of the electromagnetic field Fμν and orthogonal to the gradients of the dilaton φ and axion η fields. Furthermore, it is shown that the matter field equations with sources are invariant under changes of the metric gμν by gμν+lμlν if lμ satisfies the above conditions. An application of these results in the study of perturbations of the solution corresponding to colliding plane waves is given.

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