Results 1 to 10 of about 101,941 (27)
Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations [PDF]
Killing vector fields in three dimensions play important role in the construction of the related spacetime geometry. In this work we show that when a three dimensional geometry admits a Killing vector field then the Ricci tensor of the geometry is ...
Aliev A N +24 more
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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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Zermelo deformation of Finsler metrics by Killing vector fields [PDF]
We show how geodesics, Jacobi vector fields and flag curvature of a Finsler metric behave under Zermelo deformation with respect to a Killing vector field.
Foulon, Patrick, Matveev, Vladimir S.
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Five-dimensional null & time-like supersymmetric geometries [PDF]
We show that there exist supersymmetric solutions of five-dimensional, pure, $\mathcal{N}=1$ Supergravity such that the norm of the supersymmetric Killing vector, built out of the Killing spinor, is a real not-everywhere analytic function such that all ...
Pasini, Giulio, Shahbazi, C. S.
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Killing spinors are Killing vector fields in Riemannian Supergeometry
A supermanifold M is canonically associated to any pseudo Riemannian spin manifold (M_0,g_0). Extending the metric g_0 to a field g of bilinear forms g(p) on T_p M, p\in M_0, the pseudo Riemannian supergeometry of (M,g) is formulated as G-structure on M,
Alekseevsky +10 more
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Inflation in a self-interacting gas universe [PDF]
We show that a de Sitter spacetime is a solution of Einstein's field equations with the energy momentum tensor of a self-interacting, classical Maxwell-Boltzmann gas in collisional equilibrium.
Balakin, Alexander B., Zimdahl, Winfried
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Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes
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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Palatini Formalism of 5-Dimensional Kaluza-Klein Theory
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. +11 more
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Electron in higher-dimensional weakly charged rotating black hole spacetimes
We demonstrate separability of the Dirac equation in weakly charged rotating black hole spacetimes in all dimensions. The electromagnetic field of the black hole is described by a test field approximation, with vector potential proportional to the ...
Cariglia, Marco +3 more
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