Generalization of the Geroch–Held–Penrose formalism to higher dimensions

DOI10.1088/0264-9381/27/21/215010zbMath1206.83041arXiv1002.4826OpenAlexW2057419240MaRDI QIDQ3065912

Alena Pravdová, Harvey S. Reall, Vojtech Pravda, Mark Durkee

Publication date: 7 January 2011

Published in: Classical and Quantum Gravity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.4826

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Kaluza-Klein and other higher-dimensional theories (83E15) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60) Exact solutions to problems in general relativity and gravitational theory (83C15) Einstein-Maxwell equations (83C22)

Related Items (19)

Algebraically special solutions in AdS/CFT ⋮ Black holes, hidden symmetries, and complete integrability ⋮ On higher dimensional Einstein spacetimes with a non-degenerate double Weyl aligned null direction ⋮ Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes ⋮ On a Five-Dimensional Version of the Goldberg-Sachs Theorem ⋮ Weyl type N solutions with null electromagnetic fields in the Einstein-Maxwell \(p\)-form theory ⋮ Horizon detection and higher dimensional black rings ⋮ The Cartan algorithm in five dimensions ⋮ On the Weyl tensor classification in all dimensions and its relation with integrability properties ⋮ Instabilities of extremal rotating black holes in higher dimensions ⋮ Uniqueness of the Kerr-de Sitter spacetime as an algebraically special solution in five dimensions ⋮ Gauge fields with vanishing scalar invariants ⋮ The small sphere limit of quasilocal energy in higher dimensions along lightcone cuts ⋮ Static and radiating \(p\)-form black holes in the higher dimensional Robinson-Trautman class ⋮ Lorentzian manifolds with shearfree congruences and Kähler-Sasaki geometry ⋮ Type II universal spacetimes ⋮ Spinor-helicity and the algebraic classification of higher-dimensional spacetimes ⋮ On the Goldberg-Sachs theorem in six dimensions ⋮ Universal electromagnetic fields

This page was built for publication: Generalization of the Geroch–Held–Penrose formalism to higher dimensions