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D. Maison

Publications and source records attributed to D. Maison.

10 recordsLinked to original sources
arXiv2009

Self-similar Solutions of the Cubic Wave Equation

We prove that the focusing cubic wave equation in three spatial dimensions has a countable family of self-similar solutions which are smooth inside the past light cone of the singularity. These solutions are labeled by an integer index $n$ which counts the number of oscillations of the solution. The linearized operator around the $n$-th solution is shown to have $n+1$ negative eigenvalues (one of which corresponds to the gauge mode) which implies that all $n>0$ solutions are unstable. It is also shown that all $n>0$ solutions have a singularity outside the past light cone which casts doubt on whether these solutions may participate in the Cauchy evolution, even for non-generic initial data.

math.AP↗
arXiv2004

Static, spherically symmetric solutions of Yang-Mills-Dilaton theory

Static, spherically symmetric solutions of the Yang-Mills-Dilaton theory are studied. It is shown that these solutions fall into three different classes. The generic solutions are singular. Besides there is a discrete set of globally regular solutions further distinguished by the number of nodes of their Yang-Mills potential. The third class consists of oscillating solutions playing the role of limits of regular solutions, when the number of nodes tends to infinity. We show that all three sets of solutions are non-empty. Furthermore we give asymptotic formulae for the parameters of regular solutions and confront them with numerical results.

gr-qc↗
arXiv2002

Horizons in 1+1 Dimensional Dilaton Gravity Coupled to Matter

We study the local behaviour of static solutions of a general 1+1 dimensional dilaton gravity theory coupled to scalar fields and Abelian gauge fields near horizons. This type of model includes in particular reductions of higher dimensional theories invariant under a sufficiently large isometry group. The solution near the horizon can in general be obtained solving a system of integral equations or in favourable cases in the form of a convergent series in the dilaton field.

gr-qc↗
arXiv2000

Static Cosmological Solutions of the Einstein-Yang-Mills-Higgs Equations

Numerical evidence is presented for the existence of a new family of static, globally regular `cosmological' solutions of the spherically symmetric Einstein-Yang-Mills-Higgs equations. These solutions are characterized by two natural numbers ($m\geq 1$, $n\geq 0$), the number of nodes of the Yang-Mills and Higgs field respectively. The corresponding spacetimes are static with spatially compact sections with 3-sphere topology.

gr-qc↗
arXiv1998

Quantization of the Reissner-Nordström Black Hole

The Reissner--Nordström family of solutions can be understood to arise from the spherically symmetric sector of a nonlinear SO(2,1)/SO(1,1) sigma model coupled to three dimensional Euclidean gravity. In this context a group theoretical quantization is performed. We identify the observables of the theory and calculate their spectra.

gr-qc↗
arXiv1997

Non-Abelian black holes: The inside story

Recent progress in understanding of the internal structure of non-Abelian black holes is discussed. Talk given at the international Workshop on The Internal Structure of Black Holes and Spacetime Singularities, Haifa, Israel, June 29 -- July 3, 1997.

gr-qc↗
arXiv1996

Solitons of the Einstein-Yang-Mills Theory

Subject of this talk is an overview of results on self-gravitating solitons of the classical Yang-Mills-Higgs theory. One finds essentially two classes of solitons, one of them corresponding to the magnetic monopoles the other one to the sphalerons of flat space. The coupling to the gravitational field leads to new features absent in flat space. These are the gravitational instability of these solitons at the Planck scale and the existence of black holes with `non-abelian hair'' in addition to the regular solutions.

gr-qc↗
arXiv1996

Monopoles in Weinberg-Salam Model

We present a new type of spherically symmetric monopole and dyon solutions with the magnetic charge $ 4π/e$ in the standard Weinberg-Salam model. The monopole (and dyon) could be interpreted as a non-trivial hybrid between the abelian Dirac monopole and non-abelian 't Hooft-Polyakov monopole (with an electric charge). We discuss the possible physical implications of the electroweak dyon.

hep-th↗
arXiv1994

On the Limiting Solution of the Bartnik-McKinnon Family

We analyze the limiting solution of the Bartnik-McKinnon family and show that its exterior is an extremal Reissner-Nordstrøm black hole and not a new type of non-abelian black hole as claimed in a recent article by Smoller and Wasserman.

gr-qc↗