Primordial Magnetogenesis from Killing Vector Fields
UniversePapapetrou showed that the covariant derivative of a Killing vector field satisfies Maxwell’s equations in vacuum. Papapetrou’s result is extended, in this article, and it is shown that the covariant derivative of a Killing vector field satisfies Maxwell’
Nagabhushana Prabhu
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Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes
, 2017 This paper intends to obtain concircular vector fields of Kantowski Sachs and Bianch type III spacetimes. For this purpose, ten conformal Killing equations and their general solution in the form of conformal Killing vector fields are derived along with ...
Ali, Ahmad T +2 more
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On the Theory of Killing Orbits in Space-Time
, 2003 This paper gives a theoretical discussion of the orbits and isotropies which arise in a space-time which admits a Lie algebra of Killing vector fields.
Abraham R +27 more
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Killing Vector Fields of Invariant Metrics on Five-Dimensional Solvable Lie Groups
MathematicsIn this paper we study the existence of Killing vector fields for right-invariant metrics on five-dimensional Lie groups. We begin by providing some explanation of the classification lists of the low-dimensional Lie algebras.
Gerard Thompson
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Killing vectors in asymptotically flat space-times: I. Asymptotically translational Killing vectors and the rigid positive energy theorem [PDF]
, 1995 We study Killing vector fields in asymptotically flat space-times. We prove the following result, implicitly assumed in the uniqueness theory of stationary black holes.
Gibbons G. W. +5 more
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Some New Results on Trans-Sasakian Manifolds
Journal of Mathematics, 2022 In this paper, we classify trans-Sasakian manifolds which are realized as real hypersurfaces in a complex space form. We also investigate trans-Sasakian manifolds whose Reeb vector fields are harmonic-Killing.
Lei Wang, Yan Zhao
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Analytic Extension of Riemannian Analytic Manifolds and Local Isometries
Mathematics, 2020 This article deals with a locally given Riemannian analytic manifold. One of the main tasks is to define its regular analytic extension in order to generalize the notion of completeness.
Vladimir A. Popov
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On Killing vector fields and Newman–Penrose constants [PDF]
Journal of Mathematical Physics, 2000 Asymptotically flat space–times with one Killing vector field are studied. The Killing equations are solved asymptotically using polyhomogeneous expansions (i.e., series in powers of 1/r and ln r), and solved order by order. The solution to the leading terms of these expansions yields the asymptotic form of the Killing vector field.
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A new method to compute quasi-local spin and other invariants on marginally trapped surfaces
, 2009 We accurately compute the scalar 2-curvature, the Weyl scalars, associated quasi-local spin, mass and higher multipole moments on marginally trapped surfaces in numerical 3+1 simulations.
Jasiulek, Michael
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Sufficient Conditions for Periodicity of a Killing Vector Field [PDF]
Proceedings of the American Mathematical Society, 1973 Let X X be a complete Killing vector field on an n n -dimensional connected Riemannian manifold. Our main purpose is to show that if X X has as few as n n closed orbits which are located properly with respect to each other, then X X must have periodic flow ...
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