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Gravitational instantons from minimal surfaces

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dc.contributor.authorAliev, AN
dc.contributor.authorHortacsu, M.
dc.contributor.authorKalayci, J.
dc.contributor.authorNutku, Y.
dc.date.accessioned2026-01-25T14:15:10Z
dc.date.issued1999-01-01
dc.description.abstractPhysical properties of gravitational instantons which are derivable from minimal surfaces in 3-dimensional Euclidean space are examined using the Newman-Penrose formalism for Euclidean signature. The gravitational instanton that corresponds to the helicoid minimal surface is investigated in detail. This is a metric of Bianchi Type $VII_0$, or E(2) which admits a hidden symmetry due to the existence of a quadratic Killing tensor. It leads to a complete separation of variables in the Hamilton-Jacobi equation for geodesics, as well as in Laplace's equation for a massless scalar field. The scalar Green function can be obtained in closed form which enables us to calculate the vacuum fluctuations of a massless scalar field in the background of this instanton.
dc.description.abstractOne figure available by fax upon request. Abstract missing in original submission. Submitted to Classical and Quantum Gravity
dc.description.urihttps://doi.org/10.1088/0264-9381/16/2/024
dc.description.urihttp://arxiv.org/pdf/gr-qc/9812007
dc.description.urihttps://dx.doi.org/10.48550/arxiv.gr-qc/9812007
dc.description.urihttp://arxiv.org/abs/gr-qc/9812007
dc.description.urihttps://zbmath.org/1364133
dc.description.urihttps://dx.doi.org/10.1088/0264-9381/16/2/024
dc.description.urihttps://aperta.ulakbim.gov.tr/record/104223
dc.identifier.doi10.1088/0264-9381/16/2/024
dc.identifier.eissn1361-6382
dc.identifier.endpage642
dc.identifier.issn0264-9381
dc.identifier.openairedoi_dedup___::9bdfd51a93c2a3f0944a549f39f38a47
dc.identifier.orcid0000-0002-5046-6365
dc.identifier.startpage631
dc.identifier.urihttps://hdl.handle.net/11527/52488
dc.identifier.volume16
dc.publisherIOP Publishing
dc.relation.ispartofClassical and Quantum Gravity
dc.rightsOPEN
dc.subjectEinstein's equations
dc.subjectNewman-Penrose formalism
dc.subjectminimal surface
dc.subjectClasses of solutions
dc.subjectalgebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory
dc.subjecthelicoid
dc.subjectFOS: Physical sciences
dc.subjectGeneral Relativity and Quantum Cosmology (gr-qc)
dc.subjectMinimal surfaces in differential geometry, surfaces with prescribed mean curvature
dc.subjectSpinor and twistor methods in general relativity and gravitational theory
dc.subjectNewman-Penrose formalism
dc.subjectself-dual solution
dc.subjectgravitational instanton
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGravitational instantons from minimal surfaces
dc.typeArticle
dspace.entity.typePublication

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