An algebraic construction generates rotating solutions from static Weyl-class metrics in 5D minimal supergravity by using AdS×S asymptotics and frame shifts, recovering Kerr/Myers-Perry and producing a linear ansatz for multiple non-extremal rotating charged sources.
Generalized Weyl Solutions
3 Pith papers cite this work. Polarity classification is still indexing.
3
Pith papers citing it
abstract
It was shown by Weyl that the general static axisymmetric solution of the vacuum Einstein equations in four dimensions is given in terms of a single axisymmetric solution of the Laplace equation in three-dimensional flat space. Weyl's construction is generalized here to arbitrary dimension $D\ge 4$. The general solution of the D-dimensional vacuum Einstein equations that admits D-2 orthogonal commuting non-null Killing vector fields is given either in terms of D-3 independent axisymmetric solutions of Laplace's equation in three-dimensional flat space or by D-4 independent solutions of Laplace's equation in two-dimensional flat space. Explicit examples of new solutions are given. These include a five-dimensional asymptotically flat ``black ring'' with an event horizon of topology S^1 x S^2 held in equilibrium by a conical singularity in the form of a disc.
citation-role summary
background 1
method 1
citation-polarity summary
years
2026 3verdicts
UNVERDICTED 3representative citing papers
New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.
Essentially all known analytical exact single black hole solutions in four-dimensional Einstein-Maxwell theory belong to the accelerating Kerr-Newman-NUT family placed in backgrounds that are subcases of the conjugated Kerr-Newman-NUT spacetime with arbitrary angular topology.
citing papers explorer
-
Weyl-type solutions with multipolar scalar fields
New exact solutions to d-dimensional Einstein-scalar gravity are generated in Weyl form that incorporate multipolar scalars and magnetic fields, with limits matching scalar versions of Schwarzschild-Melvin and Fisher-Janis-Newman-Winicour spacetimes.