We study the interior structure of the Einstein-Yang-Mills-Dilaton black holes as a function of the dilaton coupling constant γ ∈ [0, 1]. For γ 6= 0 the solutions have no internal Cauchy horizons and the field amplitudes follow a power law behavior near the singularity. As γ decreases, the solutions develop more and more oscillation cycles in the interior region, whose number becomes infinite i...

LetM be an (n+1)-dimensional manifold with non-empty boundary, satisfying π1(M,∂M) = 0. The main result of this paper is that the space of conformally compact Einstein metrics on M is a smooth, infinite dimensional Banach manifold, provided it is non-empty. We also prove full boundary regularity for such metrics in dimension 4 and a local existence and uniqueness theorem for such metrics with p...

We classify solvable Lie groups with a free nilradical admitting an Einstein left-invariant metric. Any such group is essentially determined by the nilradical of its Lie algebra, which is then called an Einstein nilradical. We show that among the free Lie algebras, there are very few Einstein nilradicals. Except for the one-step (abelian) and the two-step ones, there are only six (here f(m, p) ...

Riemannian Killing conserved currents are used to find the energy spectra of classical spinning particles moving around a spinning string in Einstein-Cartan (EC) theory of gravity. It is shown that a continuos spectrum is obtained for planar open orbits while a discrete spectrum is obtained for circular planar orbits. A spin-spin effect between the spin of the test particle and the spin of the ...

On asymptotically complex hyperbolic (ACH) Einstein manifolds, we consider a certain variational problem for almost structures compatible with the metric, which linearized Euler-Lagrange equation at K\"ahler-Einstein is given by Dolbeault Laplacian acting on $(0,1)$-forms values in holomorphic tangent bundle. A deformation result of ACH metrics associated critical this given. It also shown that...

It is easy to create nonperiodic tesselations of the plane composed of one or a few types of tiles. In most cases, however, the tiles employed can also be used to create simpler, periodic patterns. It is much more difficult to find shapes, or “prototiles,” that can fill space only by making a nonperiodic structure. We say that such sets are aperiodic, or that they “force” nonperiodicity, and th...

Causal structure, inertial path structure and compatibility with quantum mechanics demand no full Lorentz metric, but only an integrable Weyl geometry for space time (Ehlers/Pirani/Schild 1972, Audretsch e.a. 1984). A proposal of (Tann 1998, Drechsler/Tann 1999) for a minimal coupling of the Hilbert-Einstein action to a scale covariant scalar vacuum field φ (weight −1) plus (among others) a Kle...

Nearly one decade after the first observation of Bose-Einstein condensation in atom vapors and realization of matter-wave (atom) lasers, similar concepts have been demonstrated recently for polaritons: half-matter, half-light quasiparticles in semiconductor microcavities. The half-light nature of polaritons makes polariton lasers promising as a new source of coherent and nonclassical light with...