A spacetime dual to the NUT spacetime
Mohammad Nouri-Zonoz, Naresh Dadhich, D. Lynden-Bell
TL;DR
This paper explores a duality transformation in spacetime geometry, deriving a new solution dual to the NUT spacetime by applying a curvature decomposition and electric-magnetic interchange.
Contribution
It introduces a method to find a spacetime dual to the NUT solution using electric-magnetic duality in curvature decomposition.
Findings
Derived the dual spacetime to the NUT solution.
Extended the duality approach to new gravitational solutions.
Connected dual solutions to known spacetime geometries.
Abstract
By decomposing the Riemann curvature into electric and magnetic parts, a duality transformation, which involves interchange of active and passive electric parts, has recently been proposed. It was shown that the Schwarzschild solution is dual to the one that describes the Schwarzschild particle with cloud of string dust or a global monopole. Following the same procedure we obtain the solution dual to the NUT spacetime.
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