Generalized pp-wave solutions on product of Ricci-flat spaces

Abstract

A multidimensional gravitational model with several scalar fields and form fields is considered. A wide class of generalized pp-wave solutions defined on a product of n+1 Ricci-flat spaces is obtained. Certain examples of solutions (e.g. in supergravitational theories) are singled out. For special cone-type internal factor spaces the solutions are written in Brinkmann form. An example of pp-wave solution is obtained using Penrose limit of a solution defined on a product of two Einstein spaces.

17 pages, Latex, no figures, typos in relations (3.11), (4.5) and (4.9) are eliminated

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