# Higher-dimensional Buchdahl and Janis-Robinson-Winicour transformations in the Einstein-Maxwell system with a massless scalar field

## TL;DR

This paper extends key solution-generating transformations to higher dimensions within the Einstein-Maxwell system with a scalar field, enabling the construction of new exact solutions from known ones.

## Contribution

It introduces higher-dimensional versions of the Buchdahl and Janis-Robinson-Winicour transformations for the Einstein-Maxwell system with a scalar field, expanding solution-generating techniques.

## Key findings

- Generated new exact solutions from known static solutions.
- Extended solution-generating transformations to higher dimensions.
- Applied transformations to various seed solutions to produce novel configurations.

## Abstract

We present higher-dimensional generalizations of the Buchdahl and Janis-Robinson-Winicour transformations which generate static solutions in the Einstein-Maxwell system with a massless scalar field. While the former adds a nontrivial scalar field to a vacuum solution, the latter generates a charged solution from a neutral one with the same scalar field. Applying these transformations to (i) a static solution with an Einstein base manifold, (ii) a multi-center solution, and (iii) a four-dimensional cylindrically symmetric solution, we construct several new exact solutions.