Results 71 to 80 of about 85,217 (188)
, 1997 For a rotating dust with a 3-dimensional symmetry group all possible metric forms can be classified and, within each class, explicitly written out. This is made possible by the formalism of Pleba\'nski based on the Darboux theorem.
Andrzej Krasiński +4 more
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Projective Vector Fields on Semi-Riemannian Manifolds
MathematicsThis paper explores the properties of projective vector fields on semi-Riemannian manifolds. The main result establishes that if a projective vector field P on such a manifold is also a conformal vector field with potential function ψ and the vector ...
Norah Alshehri, Mohammed Guediri
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On Finsler spacetimes with a timelike Killing vector field
, 2018 We study Finsler spacetimes and Killing vector fields taking care of the fact that the generalized metric tensor associated to the Lorentz-Finsler function $L$ is in general well defined only on a subset of the slit tangent bundle.
Caponio, Erasmo, Stancarone, Giuseppe
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Phantom space–times in fake supergravity
Physics Letters B, 2015 We discuss phantom metrics admitting Killing spinors in fake N=2, D=4 supergravity coupled to vector multiplets. The Abelian U(1) gauge fields in the fake theory have kinetic terms with the wrong sign.
Maryam Bu Taam, Wafic A. Sabra
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Twisting type-N vacuum fields with a group $H_2$
, 2000 We derive the equations corresponding to twisting type-N vacuum gravitational fields with one Killing vector and one homothetic Killing vector by using the same approach as that developed by one of us in order to treat the case with two non-commuting ...
Chinea F J +11 more
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Killing Vector Fields and Superharmonic Field Theories
, 2013 The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, referred to as superharmonic action, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing vector fields are infinitesimal supersymmetries of the superharmonic action and prove three different Noether theorems ...
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Killing vector fields and characteristic forms
Japanese journal of mathematics. New series, 1995 Let \((M,g)\) be a compact orientable Riemannian manifold, \(\dim M =n =2m\), \(\nabla\) the Riemannian connection, \(\omega\) the connection form and \(\Omega =d\omega- \omega\wedge \omega\) the curvature form. The structure group of the tangent bundle of \(M\) is \(SO(n)\), and the corresponding Lie algebra \(o(n)\) is the algebra of real \((n\times ...
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Killing vector fields and harmonic superfield theories [PDF]
Journal of Mathematical Physics, 2014 The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, also referred to as harmonic, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing vector fields are infinitesimal supersymmetries of this harmonic action and prove three different Noether theorems in this ...
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Conformal Killing vector fields and a virial theorem
, 2014 The virial theorem is formulated both intrinsically and in local coordinates for a Lagrangian system of mechanical type on a Riemann manifold. An import case studied in this paper is that of an affine virial function associated to a vector field on the ...
Cariñena, José F. +3 more
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The Torsion of Spinor Connections and Related Structures
Symmetry, Integrability and Geometry: Methods and Applications, 2006 In this text we introduce the torsion of spinor connections. In terms of the torsion we give conditions on a spinor connection to produce Killing vector fields.
Frank Klinker
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