88 research outputs found
Distributional energy momentum tensor of the extended Kerr geometry
We generalize previous work on the energy-momentum tensor-distribution of the
Kerr geometry by extending the manifold structure into the negative mass
region. Since the extension of the flat part of the Kerr-Schild decomposition
from one sheet to the double cover develops a singularity at the branch surface
we have to take its non-smoothness into account. It is however possible to find
a geometry within the generalized Kerr-Schild class that is in the
Colombeau-sense associated to the maximally analytic Kerr-metric.Comment: 12 pages, latex2e, amslatex and epsf macro
Boosting the Kerr-geometry into an arbitrary direction
We generalize previous work \cite{BaNa3} on the ultrarelativistic limit of
the Kerr-geometry by lifting the restriction on boosting along the axis of
symmetry.Comment: latex2e, no figure
Symmetries of pp-Waves with Distributional Profile
We generalize the classification of (non-vacuum) pp-waves \cite{JEK} based on
the Killing-algebra of the space-time by admitting distribution-valued profile
functions. Our approach is based on the analysis of the (infinite-dimensional)
group of ``normal-form-preserving'' diffeomorphisms.Comment: 10 pages, latex2e, no figures, statement about the combination of
symmetry classes of impulsive waves correcte
The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
The ultrarelativistic limit of the Schwarzschild and the Kerr-geometry
together with their respective energy-momentum tensors is derived. The approach
is based on tensor-distributions making use of the underlying Kerr-Schild
structure, which remains stable under the ultrarelativistic boost.Comment: 16 pages, (AMS-LaTeX), TUW-94-0
Generalized Kerr Schild metrics and the gravitational field of a massless particle on the horizon
We investigate the structure of the gravitational field generated by a
massless particle moving on the horizon of an arbitrary (stationary) black
hole. This is done by employing the generalized Kerr-Schild class where we take
the null generators of the horizon as the geodetic null vector-field and a
scalar function which is concentrated on the horizon.Comment: uses AMS macro
A Note on the Symmetries of the Gravitational Field of a Massless Particle
It is shown that the metric of a massless particle obtained from boosting the
Schwarzschild metric to the velocity of light, has four Killing vectors
corresponding to an E(2)\times \RR symmetry-group. This is in agreement with
the expectations based on flat-space kinematics but is in contrast to previous
statements in the literature \cite{Schueck}. Moreover, it also goes beyond the
general Jordan-Ehlers-Kundt-(JEK)-classification of gravitational pp-waves as
given in \cite{JEK}.Comment: 10pages, amslatex, TUW-94-12 and UWThPh-1994-2
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