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Enhanced Ehlers Transformation and the Majumdar-Papapetrou-NUT Spacetime
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The transformation which adds (or removes) NUT charge when it is applied to electrovacuum, axisymmetric and stationary space-times is studied. After analysing the Ehlers and the Reina-Treves transformations we propose a new one, more precise in the presence of the Maxwell electromagnetic field. The enhanced Ehlers transformation proposed turns out to act as a gravitomagnetic duality, analogously to the electromagnetic duality, but for gravity: it rotates the mass charge into the gravomagnetic (or NUT) charge. As an example the Kerr-Newman-NUT black hole is obtained with the help of this enhanced transformation. Moreover a new analytical exact solution is built adding the NUT charge to a double charged black hole, at equilibrium. It describes the non-extremal generalisation of the Majumdar-Papapetrou-NUT solution. From the near-horizon analysis, its microscopic entropy, according to the Kerr/CFT correspondence, is found and the second law of black hole thermodynamics is discussed.
Forward citations
Cited by 2 Pith papers
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Kerr--NUT--Levi-Civita geometries from Ernst inversion: axis structure, curvature singularities, and the Manko--Ruiz parameter
Ernst inversion of Kerr–NUT yields a new vacuum metric family whose axis regularity, curvature singularities, and horizon data are governed by the Manko–Ruiz parameter C and the pre-inversion twist β.
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A class of charged-Taub-NUT-scalar metrics via Harison and Ehlers Transformations
A proposed new family of charged Taub-NUT spacetimes with a theta-dependent scalar field, built via Harrison and Ehlers transformations, but the exact-solution claim is unsupported and internally inconsistent.
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