441 research outputs found
Do Killing-Yano tensors form a Lie Algebra?
Killing-Yano tensors are natural generalizations of Killing vectors. We
investigate whether Killing-Yano tensors form a graded Lie algebra with respect
to the Schouten-Nijenhuis bracket. We find that this proposition does not hold
in general, but that it does hold for constant curvature spacetimes. We also
show that Minkowski and (anti)-deSitter spacetimes have the maximal number of
Killing-Yano tensors of each rank and that the algebras of these tensors under
the SN bracket are relatively simple extensions of the Poincare and (A)dS
symmetry algebras.Comment: 17 page
Tension term, interchange symmetry, and the analogy of energy and tension laws of the AdS soliton solution
In this paper, we reconsider the energy and tension laws of the Ricci flat
black hole by taking the contribution of the tension term into account. After
this considering and inspired by the interchange symmetry between the Ricci
flat black hole and the AdS soliton solution which arises from the double
analytic continuation of the time and compact spatial direction, we find out
the analogy of the energy and tension laws of the AdS soliton solution.
Moreover, we also investigate the energy and tension laws of the boosted Ricci
flat black hole, and discuss the boosted AdS soliton solution. However,
although there is the same interchange symmetry between the boosted Ricci flat
black hole and boosted AdS soliton, the analogy of laws of the boosted AdS
soliton solution may be of no sense for the existence of the closed timelike
curves and conical singularity. In spite of that, the conserved charges such as
the energy and momentum of the boosted AdS soliton are well-defined, and an
interesting result is that its energy is lower than that of the static AdS
soliton. On the other hand, note that although the laws obtained above are the
same as those of the asymptotically flat case, the underlying deduced contents
are different. Thus, our results could also be considered as a simple
generalization to the asymptotically AdS case. Moreover, during the
calculation, we find that there may be a new way to define the gravitational
tension which can come from the quasi-local stress tensor of the counter-term
method.Comment: V4: 15 pages, no figure, version to appear in JHE
A Probe Particle in Kerr-Newman-deSitter Cosmos
We consider the force acting on a spinning charged test particle (probe
particle) with the mass m and the charge q in slow rotating the
Kerr-Newman-deSitter(KNdS) black hole with the mass M and the charge Q. We
consider the case which the spin vector of the probe particle is parallel to
the angular momentum vector of the KNdS space-time. We take account of the
gravitational spin-spin interaction under the slow rotating limit of the KNdS
space-time. When Q=M and q=m, we show that the force balance holds including
the spin-spin interaction and the motion is approximately same as that of a
particle in the deSitter space-time. This force cancellation suggests the
possibility of the existence of an exact solution of spinning multi-KNdS black
hole.Comment: 7 pages, Classical and Quantum Gravity accepte
Are All Static Black Hole Solutions Spherically Symmetric?
The static black hole solutions to the Einstein-Maxwell equations are all
spherically symmetric, as are many of the recently discovered black hole
solutions in theories of gravity coupled to other forms of matter. However,
counterexamples demonstrating that static black holes need not be spherically
symmetric exist in theories, such as the standard electroweak model, with
electrically charged massive vector fields. In such theories, a magnetically
charged Reissner-Nordstrom solution with sufficiently small horizon radius is
unstable against the development of a nonzero vector field outside the horizon.
General arguments show that, for generic values of the magnetic charge, this
field cannot be spherically symmetric. Explicit construction of the solution
shows that it in fact has no rotational symmetry at all.Comment: 6 pages, plain TeX. Submitted to GRF Essay Competitio
The effectiveness of resource levelling tools for Resource Constraint Project Scheduling Problem
Abstract The PERT/CPM network techniques are based on the assumption that all needed resources will be available. The scarcity of resources is a usual reason for project delays. For the solution of the Resource Constrained Project Scheduling Problem (RCPSP) other methods have been applied. The objective of these methods consists in minimizing the project's duration by considering both the precedence and resource constraints. Project Management software packages solve the resource conflicts using resource levelling. The paper evaluates the effectiveness of resource levelling tools of three popular packages by comparing the results when levelling two real construction projects as case studies
Breaking cosmic strings without monopoles
It is shown that topologically stable cosmic strings can, in fact, appear to end or to break, even in theories without monopoles. This can occur whenever the spatial topology of the universe is nontrivial. For the case of Abelian-Higgs strings, we describe the gauge and scalar field configurations necessary for a string to end on a black hole. We give a lower bound for the rate at which a cosmic string will break via black hole pair production, using an instanton calculation based on the Euclidean C-metric
Separability of Gravitational Perturbation in Generalized Kerr-NUT-de Sitter Spacetime
Generalized Kerr-NUT-de Sitter spacetime is the most general spacetime which
admits a rank-2 closed conformal Killing-Yano tensor. It contains the
higher-dimensional Kerr-de Sitter black holes with partially equal angular
momenta. We study the separability of gravitational perturbations in the
generalized Kerr-NUT-de Sitter spacetime. We show that a certain type of tensor
perturbations admits the separation of variables. The linearized perturbation
equations for the Einstein condition are transformed into the ordinary
differential equations of Fuchs type.Comment: 47 pages, LaTeX; v2: typos corrected; v3: a reference and comments
added, details of calculations are moved to appendices, version accepted for
publication in IJMP
Stringy Probe Particle and Force Balance
We directly derive the classical equation of motion, which governs the centre
of mass of a test string, from the string action. In a certain case, the
equation is basically same as one derived by Papapetrou, Dixon and Wald for a
test extended body. We also discuss the force balance using a stringy probe
particle for an exact spinning multi-soliton solution of
Einstein-Maxwell-Dilaton-Axion theory. It is well known that the force balance
condition yields the saturation of the Bogomol'nyi type bound in the lowest
order. In the present formulation the gyromagnetic ratio of the stringy probe
particle is automatically determined to be which is the same value as the
background soliton. As a result we can confirm the force balance via the
gravitational spin-spin interaction.Comment: 8 pages, references added, comments added, Phys. Rev. D accepte
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