Results 21 to 27 of about 101,941 (27)

QFT on homothetic Killing twist deformed curved spacetimes

open access: yes, 2011
We study the quantum field theory (QFT) of a free, real, massless and curvature coupled scalar field on self-similar symmetric spacetimes, which are deformed by an abelian Drinfel'd twist constructed from a Killing and a homothetic Killing vector field ...
A.P. Balachandran   +16 more
core   +1 more source

Null Killing Vector Dimensional Reduction and Galilean Geometrodynamics

open access: yes, 1994
The solutions of Einstein's equations admitting one non-null Killing vector field are best studied with the projection formalism of Geroch. When the Killing vector is lightlike, the projection onto the orbit space still exists and one expects a covariant
B. Julia   +29 more
core   +1 more source

Weakly charged generalized Kerr-NUT-(A)dS spacetimes

open access: yes, 2017
We find an explicit solution of the source free Maxwell equations in a generalized Kerr-NUT-(A)dS spacetime in all dimensions. This solution is obtained as a linear combination of the closed conformal Killing-Yano tensor $h_{ab}$, which is present in ...
Frolov, Valeri P.   +2 more
core   +2 more sources

Lorentzian Flat Lie Groups Admitting a Timelike Left-Invariant Killing Vector Field [PDF]

open access: yes, 2013
We call a connected Lie group endowed with a left-invariant Lorentzian flat metric Lorentzian flat Lie group. In this Note, we determine all Lorentzian flat Lie groups admitting a timelike left-invariant Killing vector field.
Lebzioui, Hicham
core   +2 more sources

Exactly solvable strings in Minkowski spacetime

open access: yes, 2010
We study the integrability of the equations of motion for the Nambu-Goto strings with a cohomogeneity-one symmetry in Minkowski spacetime. A cohomogeneity-one string has a world surface which is tangent to a Killing vector field. By virtue of the Killing
Burden C J   +10 more
core   +1 more source

Killing vector fields with twistor derivative

open access: yes, 2007
Motivated by the possible characterization of Sasakian manifolds in terms of twistor forms, we give the complete classification of compact Riemannian manifolds carrying a Killing vector field whose covariant derivative (viewed as a 2-form) is a twistor ...
Moroianu, Andrei
core   +5 more sources

No-horizon theorem for vacuum gravity with spacelike G1 isometry groups

open access: yes, 2003
We show that (3+1) vacuum spacetimes admitting a global, spacelike, one-parameter Lie group of isometries of translational type cannot contain apparent horizons. The only assumption made is that of the existence of a global spacelike Killing vector field
B.K. Berger   +16 more
core   +1 more source

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