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The geodesic flow on nilpotent lie groups of steps two and three
(American Institute of Mathematical Sciences, 2021-09)
The goal of this paper is the study of the integrability of the geodesic flow on k-step nilpotent Lie groups, k=2,3, when equipped with a leftinvariant metric. Liouville integrability is proved in low dimensions. Moreover, ...
Principal tensor strikes again: Separability of vector equations with torsion
(2019-08-10)
Many black hole spacetimes with a 3-form field exhibit a hidden symmetry encoded in a torsion generalization of the principal Killing–Yano tensor. This tensor determines basic properties of such black holes while also ...
Generalized wave operators, weighted Killing fields, and perturbations of higher dimensional spacetimes
(IOP Publishing, 2018-03-09)
We present weighted covariant derivatives and wave operators for perturbations of certain algebraically special Einstein spacetimes in arbitrary dimensions, under which the Teukolsky and related equations become weighted ...
Maslov index in semi-Riemannian submersions
(SPRINGER, 2010)
We study focal points and Maslov index of a horizontal geodesic gamma : I -> M in the total space of a semi-Riemannian submersion pi : M -> B by determining an explicit relation with the corresponding objects along the ...
On symmetries of exact solutions of Einstein field equations
(Universidade Federal de PernambucoUFPEBrasilPrograma de Pos Graduacao em Fisica, 2019)
Conformal invariance, complex structures and the Teukolsky connection
(IOP Publishing, 2018-07-23)
We show that the Teukolsky connection, which defines generalized wave operators governing the behavior of massless fields on Einstein spacetimes of Petrov type D, has its origin in a distinguished conformally and GHP ...
Symmetries of distributional domain wall geometries
(SABER ULA, 2005)
Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear sigma-model system
(2018)
An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear SU(2) field is regular everywhere ...
Hairy AdS black holes with a toroidal horizon in 4D Einstein-nonlinear σ-model system.
An exact hairy asymptotically locally AdS black hole solution with a flat horizon in the Einstein-nonlinear sigma model system in (3+1) dimensions is constructed. The ansatz for the nonlinear SU(2) field is regular everywhere ...