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

TL;DR

This paper presents a broad class of generalized pp-wave solutions in multidimensional gravity models with scalar and form fields, applicable to Ricci-flat space products, including examples relevant to supergravity and Penrose limits.

Contribution

It introduces a new class of solutions on Ricci-flat space products, including Brinkmann form and Penrose limit examples, expanding the understanding of gravitational wave solutions.

Findings

Derived generalized pp-wave solutions on Ricci-flat space products.

Presented explicit examples in supergravity theories.

Demonstrated solutions in Brinkmann form and via Penrose limits.

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.