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

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.

21 pages, no figure; v2, extended version, title changed to be more specific, four-dimensional cylindrically symmetric solutions added

References in corpus (4)

• Weyl metrics and wormholes
• On the smoothness of static multi-black hole solutions of higher-dimensional Einstein-Maxwell theory
• Gravity coupled to a scalar field in extra dimensions
• Cohomogeneity-1 solutions in Einstein-Maxwell-dilaton gravity

Cited by in corpus (6)

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• Scalar Hairy Black Holes in the presence of Nonlinear Electrodynamics
• Vacuum-dual static perfect fluid obeying $p=-(n-3)\rho /(n+1)$ in $n(\ge 4)$ dimensions
• Phantom scalar field counterpart to Curzon-Chazy spacetime