The General Self-dual solution of the Einstein Equations

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dc.creatorKoshti, Sucheta
dc.creatorDadhich, Naresh
dc.date1994-09-21
dc.date.accessioned2026-07-07T03:30:28Z
dc.date.available2026-07-07T03:30:28Z
dc.descriptionWe obtain the most general explicit (anti)self-dual solution of the Einstein equations. We find that any (anti)self-dual solution can be characterised by three free functions of which one is harmonic. Any stationary (anti)self-dual solution can be characterised by a harmonic function. It turns out that the form of the Gibbons and Hawking multi-center metrics is the most general stationary (anti)self-dual solution. We further note that the stationary (anti)self-dual Einstein equations can be reinterpreted as the (anti)self-dual Maxwell equations on the Euclidean background metric.
dc.description14 Pages, Latex, IUCAA 94/29
dc.identifierhttps://arxiv.org/abs/gr-qc/9409046
dc.identifierhttp://arxiv.org/abs/gr-qc/9409046
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35540
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe General Self-dual solution of the Einstein Equations
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