173 research outputs found
Collective Quantisation of a Gravitating Skyrmion
Collective quantisation of a B=1 gravitating skyrmion is described. The
rotational and isorotational modes are quantised in the same manner as the
skyrmion without gravity. It is shown in this paper how the static properties
of nucleons such as masses, charge densities, magnetic moments are modified by
the gravitational interaction.Comment: 10 pages, 9 figures, minor corrections, published versio
SU(3) Einstein-Skyrme Solitons and Black Holes
In the SU(3) Einstein-Skyrme system static spherically symmetric
particle-like solutions and black holes exist for both the SU(2) and the SO(3)
embedding. The SO(3) embedding leads to new particle-like solutions and black
holes, sharing many features with the SU(2) solutions. In particular, there are
always two branches of solutions, forming a cusp at a critical coupling
constant. The regular SO(3) solutions have even topological charge . The
mass of the SO(3) solutions is less than twice the mass of the
SU(2) solutions. We conjecture, that the lowest SO(3) branches correspond to
stable particle-like solutions and stable black holes.Comment: LATEX, 16 pages, 6 figure
Spinning Gravitating Skyrmions
We investigate self-gravitating rotating solutions in the Einstein-Skyrme
theory. These solutions are globally regular and asymptotically flat. We
present a new kind of solutions with zero baryon number, which possess neither
a flat limit nor a static limit.Comment: 13 pages, 6 figure
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The Cosmological Probability Density Function for Bianchi Class A Models in Quantum Supergravity
Nicolai's theorem suggests a simple stochastic interpetation for
supersymmetric Euclidean quantum theories, without requiring any inner product
to be defined on the space of states. In order to apply this idea to
supergravity, we first reduce to a one-dimensional theory with local
supersymmetry by the imposition of homogeneity conditions. We then make the
supersymmetry rigid by imposing gauge conditions, and quantise to obtain the
evolution equation for a time-dependent wave function. Owing to the inclusion
of a certain boundary term in the classical action, and a careful treatment of
the initial conditions, the evolution equation has the form of a Fokker-Planck
equation. Of particular interest is the static solution, as this satisfies all
the standard quantum constraints. This is naturally interpreted as a
cosmological probability density function, and is found to coincide with the
square of the magnitude of the conventional wave function for the wormhole
state.Comment: 22 pages, Late
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