Results 1 to 10 of about 101,941 (27)

Killing Vector Fields in Three Dimensions: A Method to Solve Massive Gravity Field Equations [PDF]

open access: yes, 2010
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
core   +2 more sources

Particle Number and 3D Schroedinger Holography [PDF]

open access: yes, 2013
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
core   +2 more sources

Extrema of Mass, First Law of Black Hole Mechanics and Staticity Theorem in Einstein-Maxwell-axion-dilaton Gravity [PDF]

open access: yes, 1998
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
core   +2 more sources

Zermelo deformation of Finsler metrics by Killing vector fields [PDF]

open access: yes, 2017
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.
core   +4 more sources

Five-dimensional null & time-like supersymmetric geometries [PDF]

open access: yes, 2016
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.
core   +1 more source

Killing spinors are Killing vector fields in Riemannian Supergeometry

open access: yes, 1997
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
core   +1 more source

Inflation in a self-interacting gas universe [PDF]

open access: yes, 1998
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
core   +2 more sources

Concircular vector fields for Kantowski Sachs and Bianchi type III spacetimes

open access: yes, 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
core   +1 more source

Palatini Formalism of 5-Dimensional Kaluza-Klein Theory

open access: yes, 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.   +11 more
core   +1 more source

Electron in higher-dimensional weakly charged rotating black hole spacetimes

open access: yes, 2012
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
core   +1 more source

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