Results 21 to 30 of about 129,718 (286)
Complex Surfaces and Null Conformal Killing Vector Fields
21 pages, minor ...
J. Davidov, G. Grantcharov, O. Mushkarov
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Analytical solutions of spherical structures with relativistic corrections
This paper analyzes the characteristic of a non-static sphere along with anisotropic fluid distribution in the background of modified $$f(\mathcal {G})$$ f ( G ) theory.
M. Z. Bhatti +3 more
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Killing Vector Fields and Holonomy Algebras [PDF]
We prove that for each Killing vector field X X on a complete Riemannian manifold, whose orthogonal distribution is involutive, the ( 1 , 1 ) (1,1) skew-symmetric operator A X {A_X} associated to X X by
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Complete Riemannian manifolds admitting a pair of Einstein-Weyl structures [PDF]
We prove that a connected Riemannian manifold admitting a pair of non-trivial Einstein-Weyl structures $(g, \pmømega)$ with constant scalar curvature is either Einstein, or the dual field of $ømega$ is Killing.
Amalendu Ghosh
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Particle Number and 3D Schroedinger Holography [PDF]
We define a class of space-times that we call asymptotically locally Schroedinger space-times. We consider these space-times in 3 dimensions, in which case they are also known as null warped AdS.
Hartong, Jelle, Rollier, Blaise
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Extrema of Mass, First Law of Black Hole Mechanics and Staticity Theorem in Einstein-Maxwell-axion-dilaton Gravity [PDF]
Using the ADM formulation of the Einstein-Maxwell axion-dilaton gravity we derived the formulas for the variation of mass and other asymptotic conserved quantities in the theory under consideration. Generalizing this kind of reasoning to the initial dota
A. E. Fisher +67 more
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CCNV Space-Times as Potential Supergravity Solutions
It is of interest to study supergravity solutions preserving a nonminimal fraction of supersymmetries. A necessary condition for supersymmetry to be preserved is that the space-time admits a Killing spinor and hence a null or time-like Killing vector ...
A. Coley, D. McNutt, N. Pelavas
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Black holes in an expanding universe and supersymmetry
This paper analyzes the supersymmetric solutions to five and six-dimensional minimal (un)gauged supergravities for which the bilinear Killing vector constructed from the Killing spinor is null. We focus on the spacetimes which admit an additional SO(1,1)
Dietmar Klemm, Masato Nozawa
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On the Tachibana numbers of closed manifolds with pinched negative sectional curvature
Conformal Killing form is a natural generalization of conformal Killing vector field. These forms were extensively studied by many geometricians. These considerations were motivated by existence of various applications for these forms.
S.E. Stepanov, I. I. Tsyganok
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Killing Vector Fields on Complete Riemannian Manifolds [PDF]
We discuss Killing vector fields with finite global norms on complete Riemannian manifolds whose Ricci curvatures are nonpositive or negative.
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