Generating Rotation in a Snap
Soumangsu Chakraborty, Pierre Heidmann, Gela Patashuri

TL;DR
The paper introduces a purely algebraic method to generate rotating solutions from static ones in higher-dimensional spacetimes, avoiding Einstein equation solutions.
Contribution
It presents a novel algebraic technique for constructing rotating geometries from static solutions in higher dimensions, applicable to various supergravity frameworks.
Findings
Recovered Kerr and Myers-Perry black holes from Schwarzschild solutions.
Derived a linear ansatz for multiple non-extremal rotating and charged sources.
Provided a systematic approach to generate non-extremal rotating geometries.
Abstract
We build a new technique to generate rotation from arbitrary static solutions that asymptote to four- or five-dimensional Minkowski spacetime. The method is purely algebraic and does not require solving Einstein equations. It proceeds by transforming the static solution to AdSS asymptotics, performing a coordinate shift to a uniformly rotating frame, and then transforming the solution back to asymptotically flat spacetime. We implement this construction in five-dimensional minimal supergravity, although it applies more broadly to any framework admitting AdSS geometries and relevant sigma-model transformations. As a first application, we recover simply the Kerr and Myers-Perry black holes directly from Schwarzschild black holes. We then apply the method to the linear class of static Weyl solutions and obtain the first linear ansatz describing an arbitrary number of…
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