Symmetries and motions in manifolds

DOI10.1016/0393-0440(93)90079-TzbMath0787.53075arXivhep-th/9205074MaRDI QIDQ687774

Rachel H. Rietdijk, J. W. Van Holten

Publication date: 9 May 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9205074

zbMATH Keywords

Noether's theoremKilling tensorsDirac fermionSchwarzschild space-timespinning space

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of differential geometry to physics (53Z05) Equations of motion in general relativity and gravitational theory (83C10)

Related Items (19)

Some remarks on (super)-conformal Killing-Yano tensors ⋮ Killing tensors and a new geometric duality ⋮ Symmetries of Taub-NUT dual metrics ⋮ A NOTE ON THIRD RANK KILLING–YANO TENSORS AND DIRAC-TYPE OPERATORS ⋮ GENERALIZED PARTICLE DYNAMICS IN ANTI-DE SITTER SPACES: A SOURCE FOR DARK ENERGY ⋮ Symmetries and motions in nUT-taub spinning space ⋮ Supersymmetric quantum mechanics and the index theorem ⋮ Fermions and world-line supersymmetry ⋮ Stability of circular orbits of spinning particles in Schwarzschild-like space-times ⋮ Motions in Taub-NUT-de Sitter spinning spacetime ⋮ Massless geodesics in \(\text{AdS}_5\times Y(p,q)\) as a superintegrable system ⋮ Geodesic motion on extended Taub-NUT spinning space ⋮ Geodesic motions in Euclidean Taub-NUT spinning spaces ⋮ Nongeneric SUSY in hot NUT-Kerr-Newman-Kasuya spacetime ⋮ Hidden symmetries and supergravity solutions ⋮ Spinning particle in gravitational field of black hole involving global monopole ⋮ REAL AND COMPLEX SUPERSYMMETRIC d = 1 SIGMA MODELS WITH TORSIONS ⋮ Gravitational effects of a black hole with cosmic string ⋮ Spinning particles in Reissner-Nordström-de Sitter spacetime

Cites Work

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• Particle spin dynamics as the Grassmann variant of classical mechanics
• Spinning particles in Schwarzschild spacetime
• Generalised Killing equations and the symmetries of spinning space

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