Results 11 to 20 of about 101,941 (27)

A Twisting Electrovac Solution of Type II with the Cosmological Constant [PDF]

, 2000
An exact solution of the current-free Einstein-Maxwell equations with the cosmological constant is presented. It is of Petrov type II, and its double principal null vector is geodesic, shear-free, expanding, and twisting.
D. Kramer, J. K. Kowalczyński, J. Leroy, K. Bajer   +3 more
core   +2 more sources

Charged particle in higher dimensional weakly charged rotating black hole spacetime

, 2010
We study charged particle motion in weakly charged higher dimensional black holes. To describe the electromagnetic field we use a test field approximation and use the higher dimensional Kerr-NUT-(A)dS metric as a background geometry. It is shown that for
Frolov, Valeri P., Krtous, Pavel
core   +1 more source

On Finsler spacetimes with a timelike Killing vector field

, 2018
We study Finsler spacetimes and Killing vector fields taking care of the fact that the generalized metric tensor associated to the Lorentz-Finsler function $L$ is in general well defined only on a subset of the slit tangent bundle.
Caponio, Erasmo, Stancarone, Giuseppe
core   +1 more source

New Symbolic Tools for Differential Geometry, Gravitation, and Field Theory [PDF]

, 2011
DifferentialGeometry is a Maple software package which symbolically performs fundamental operations of calculus on manifolds, differential geometry, tensor calculus, Lie algebras, Lie groups, transformation groups, jet spaces, and the variational ...
Acvevedo M., Anderson I., C. G. Torre, Heck A., I. M. Anderson, Kobayashi S.   +5 more
core   +4 more sources

Spinor Fields and Symmetries of the Spacetime

, 2011
In the background of a stationary black hole, the "conserved current" of a particular spinor field always approaches the null Killing vector on the horizon.
D.D.K. Chow, D.D.K. Chow, D.D.K. Chow, G.W. Gibbons, G.W. Gibbons, I. Papadimitriou, J. Mei, J. Mei, Jianwei Mei, M. Banados, M. Cvetič, M. Cvetič, M. Cvetič, S. Carlip, S.-Q. Wu, W. Chen, Z.W. Chong   +16 more
core   +1 more source

Classification of Cohomogeneity One Strings [PDF]

, 2005
We define the cohomogeneity one string, string with continuous symmetries, as its world surface is tangent to a Killing vector field of a target space. We classify the Killing vector fields by an equivalence relation using isometries of the target space.
A. Vilenkin, Hideki Ishihara, Hiroshi Kozaki, R. Maartens   +3 more
core   +1 more source

Gauge conditions for binary black hole puncture data based on an approximate helical Killing vector

, 2003
We show that puncture data for quasicircular binary black hole orbits allow a special gauge choice that realizes some of the necessary conditions for the existence of an approximate helical Killing vector field.
A. Ashtekar, A. Komar, B. Brügmann, B. Schutz, Bernd Brügmann, E. Gourgoulhon, F. Estabrook, G.B. Cook, G.B. Cook, G.B. Cook, H.P. Pfeiffer, J. Baker, J. Baker, J. Baker, J. Baker, J.R. Wilson, J.W. York, J.W. York, M. Alcubierre, M. Alcubierre, M. Alcubierre, M. Shibata, M. Skoge, P. Grandclement, Pablo Laguna, S. Brandt, T.W. Baumgarte, T.W. Baumgarte, W. Tichy, Wolfgang Tichy   +29 more
core   +1 more source

Locally inertial null normal coordinates

, 2012
Locally inertial coordinates are constructed by carrying Riemann normal coordinates on a codimension two spacelike surface along the geodesics normal to it.
Guedens, Raf
core   +1 more source

A generalization and short proof of a theorem of Hano on affine vector fields [PDF]

, 2016
We prove that a bounded affine vector field on a complete Finsler manifold is a Killing vector field. This generalizes the analogous result of Hano for Riemannian manifolds.
Kertesz, David Csaba, Kertesz, David Csaba, Lovas, Rezso L., Lovas, Rezso L.   +3 more
core   +2 more sources

Killing Symmetries in $\mathcal{H}$-Spaces with $\Lambda$

, 2013
All Killing symmetries in complex $\mathcal{H}$-spaces with $\Lambda$ in terms of the Pleba\'nski - Robinson - Finley coordinate system are found. All $\mathcal{H}$-metrics with $\Lambda$ admitting a null Killing vector are explicitly given.
Chudecki, Adam, Przanowski, Maciej
core   +1 more source