Arne Lykke Larsen

Spinning Pulsating String Solitons in AdS(5) x S(5).

We point out the existence of some simple string solitons in

Domain wall interacting with a black hole: A new example of critical phenomena

{\mathrm{AdS}}_{5}\ifmmode\times\else\texttimes\fi{}{\mathrm{S}}^{5},

Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model

which at the same time are spinning in

Novel explicit multi spin string solitons in AdS5

{\mathrm{AdS}}_{5}

Improved stability for pulsating multi-spin string solitons

and pulsating in

Soap Bubbles in Outer Space: Interaction of a Domain Wall with a Black Hole

{\mathrm{S}}^{5},

Quantum Tunneling Effect in Oscillating Friedmann Cosmology

or vice versa. This introduces an additional arbitrary constant into the scaling relations between energy and spin or R charge. The arbitrary constant is not an angular momentum, but can be related to the amplitude of the pulsation. We discuss the solutions in detail and consider the scaling relations. Pulsating multispin or multi-R-charge solutions can also be constructed.

From the WZWN model to the Liouville equation: Exact string dynamics in a conformally invariant AdS background

We study a simple system that comprises all the main features of critical gravitational collapse, originally discovered by Choptuik and discussed in many subsequent publications. These features include universality of phenomena, mass-scaling relations, self-similarity, symmetry between supercritical and subcritical solutions, etc. The system we consider is a stationary membrane (representing a domain wall) in a static gravitational field of a black hole. For a membrane that spreads to infinity, the induced (2+1)-dimensional geometry is asymptotically flat. In addition to solutions with Minkowski topology there exist also solutions with the induced metric and topology of a (2+1)-dimensional black hole. By changing boundary conditions at infinity one finds that there is a transition between these two families. This transition is critical and it possesses all the above-mentioned properties of critical gravitational collapse. It is remarkable that the characteristics of this transition can be obtained analytically. In particular, we find exact analytical expressions for scaling exponents and wiggle periods. Our results indicate that critical phenomena in black hole physics are more widespread than might have been expected.

Open string fluctuations in AdS space with and without torsion

The static cylindrically symmetric solutions of the gravitating Abelian Higgs model form a two parameter family. In this paper we give a complete classification of the string-like solutions of this system. We show that the parameter plane is composed of two different regions with the following characteristics: One region contains the standard asymptotically conic cosmic string solutions together with a second kind of solutions with Melvin-like asymptotic behavior. The other region contains two types of solutions with bounded radial extension. The border between the two regions is the curve of maximal angular deficit of 2�.

String spreading on a black hole horizon

Abstract We find new explicit solutions describing closed strings spinning with equal angular momentum in two independent planes in AdS 5 . These are 2 N -folded strings in the radial direction and also winding M times around an angular direction. Thus in spacetime they consist of 2 N segments. Solutions fulfilling the closed string periodicity conditions exist provided N / M >2, i.e., the strings must be folded at least six times in the radial coordinate. The strings are spinning, or actually orbiting, similarly to solutions found previously in black hole spacetimes, but unlike the one-spin solutions in AdS which spin around their center. For long strings we recover the logarithmic scaling relation between energy and spin known from the one-spin case, but different from other known two-spin cases.