Results 61 to 70 of about 85,217 (188)

Sequential Warped Products: Curvature and Killing Vector Fields

, 2019
In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study the geometry of sequential warped products and obtain covariant derivatives,
De, Uday Chand, Shenawy, Sameh, Ünal, Bülent   +2 more
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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.
openaire   +3 more sources

Golden Riemannian Manifolds Admitting Ricci–Bourguignon Solitons

Mathematics
In this paper, we examine Ricci–Bourguignon solitons on locally decomposable golden Riemannian manifolds of constant golden sectional curvature. First, we establish an explicit expression for the soliton constant in terms of the golden structure and the ...
Bang-Yen Chen, Foued Aloui, Afshan Perween, Majid Ali Choudhary   +3 more
doaj   +1 more source

Spinorial geometry, off-shell Killing spinor identities and higher derivative 5D supergravities

Journal of High Energy Physics, 2018
Killing spinor identities relate components of equations of motion to each other for supersymmetric backgrounds. The only input required is the field content and the supersymmetry transformations of the fields, as long as an on-shell supersymmetrization ...
Federico Bonetti, Dietmar Klemm, Wafic A. Sabra, Peter Sloane   +3 more
doaj   +1 more source

Palatini Formalism of 5-Dimensional Kaluza-Klein Theory

, 2005
The Einstein field equations can be derived in $n$ dimensions ($n>2$) by the variations of the Palatini action. The Killing reduction of 5-dimensional Palatini action is studied on the assumption that pentads and Lorentz connections are preserved by the ...
de Vega H. J., JIANBING SHAO, Krauss L., Kremer G. N., Liang C., MUXIN HAN, Polchinski J., Romano D., Vollick D. N., Yang X., YONGGE MA, YOU DING   +11 more
core   +1 more source

2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
doaj   +1 more source

Intertwined Hamiltonians in Two Dimensional Curved Spaces

, 2004
The problem of intertwined Hamiltonians in two dimensional curved spaces is investigated. Explicit results are obtained for Euclidean plane,Minkowski plane, Poincar{\' e} half plane ($AdS_2$), de Sitter Plane ($dS_2$), sphere, and torus. It is shown that
Aghababaei Samani, Aghababaei Samani, Bakalov, Balazs, Cariñena, Cooper, Demircioğlu, Dobrev, Gutzwillwer, Kalnins, Keivan Aghababaei Samani, Kuru, Mateev, Milanoviv, Mina Zarei, Mostafazadeh   +15 more
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Maxwell fields in spacetimes admitting nonnull Killing vectors [PDF]

Classical and Quantum Gravity, 1993
We consider source-free electromagnetic fields in spacetimes possessing a non-null Killing vector field, $ ^a$. We assume further that the electromagnetic field tensor, $F_{ab}$, is invariant under the action of the isometry group induced by $ ^a$.
openaire   +3 more sources

On the Potential Vector Fields of Soliton-Type Equations

Axioms
We highlight some properties of a class of distinguished vector fields associated to a (1,1)-tensor field and to an affine connection on a Riemannian manifold, with a special view towards the Ricci vector fields, and we characterize them with respect to ...
Adara M. Blaga
doaj   +1 more source

Gauge Theories on Sphere and Killing Vectors

, 2003
We provide a general method for studying manifestly $O(n+1)$ covariant formulation of $p$-form gauge theories by stereographically projecting these theories, defined in flat Euclidean space, onto the surface of a hypersphere.
Adler, Alexanian, Belavin, Carow-Watamura, Cremmer, Di Francesco, Drummond, Drummond, Freedman, Iso, Jackiw, Kalb, Lu, Nielsen, O’Donnell, Rabin Banerjee, Shore, Thurston   +17 more
core   +3 more sources