Ernst equation and spheroidal coordinates with a cosmological constant term

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dc.creatorCharmousis, Christos
dc.date2007-10-02
dc.date.accessioned2026-07-07T10:57:33Z
dc.date.available2026-07-07T10:57:33Z
dc.descriptionWe discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant. Using the recently found extended form of Ernst's complex equation, which takes into account the cosmological constant term, we propose an extension of spheroidal coordinates adapted to asymptotically de-Sitter and anti de-Sitter static spacetimes. In the absence of a cosmological constant we show in addition that any higher dimensional metric parametrised by a single angular momentum can be given by a 4 dimensional solution and Weyl potentials parametrising the extra Killing directions. We explicitly show how a stationary, and a static axially symmetric spacetime solution in 4 dimensions, can be {\it added} together to give a 5 dimensional stationary and axisymmetric solution.
dc.description9 pages, no figures, some additional results to gr-qc/0610091. Prepared for 12th Conference on Recent Developments in Gravity (NEB XII), Nafplio, Greece, 29 Jun - 2 Jul 2006
dc.identifierhttps://arxiv.org/abs/0710.0472
dc.identifierhttp://arxiv.org/abs/0710.0472
dc.identifierJ.Phys.Conf.Ser.68:012007,2007
dc.identifierdoi:10.1088/1742-6596/68/1/012007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/186794
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleErnst equation and spheroidal coordinates with a cosmological constant term
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