164 citations · 254 across the 9 of their papers we have counts for
9 papers
Quantum Mechanics of a Point Particle in 2+1 Dimensional Gravity
Hans-Juergen Matschull, Max Welling
We study the phase space structure and the quantization of a pointlike particle in 2+1 dimensional gravity. By adding boundary terms to the first order Einstein Hilbert action, and…
Explicit solutions for Point Particles and Black Holes in spaces of constant curvature in 2+1-D Gravity
M. Welling
In this paper we consider space-times containing matter expanding or contracting according to a time-dependent scale factor. Cosmologies with vanishing, positive or negative cosmol…
Winding Solutions for the two Particle System in 2+1 Gravity
M. Welling
Using a PASCAL program to follow the evolution of two gravitating particles in 2+1 dimensions we find solutions in which the particles wind around one another indefinitely. As thei…
Two particle Quantummechanics in 2+1 Gravity using Non Commuting Coordinates
M. Welling
We find that the momentum conjugate to the relative distance between two gravitating particles in their center of mass frame is a hyperbolic angle. This fact strongly suggests that…
One Particle Hilbertspace of 2+1 dimensional Gravity using Non commuting Coordinates
M. Welling
After a review of multi particle solutions in classical 2+1 dimensional gravity we will construct a one particle Hilbert space. As we will use a curved momentum space, the coordina…
The Torus Universe in the Polygon Approach to 2+1-Dimensional Gravity
M. Welling
In this paper we describe the matter-free toroidal spacetime in 't Hooft's polygon approach to 2+1-dimensional gravity (i.e. we consider the case without any particles present). Co…