Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates

We investigate Choptuik scaling in the spherically symmetric collapse of a massless scalar field in higher dimensions using Painleve-Gullstrand (P-G) coordinates. Our analysis confirms the presence in higher dimensions of the cusps in the periodic scaling relationship recently observed in four dimensional collapse. In addition, we address the issue of the asymptotic behaviour of the critical exponent as the number of spacetime dimensions gets large. Our results are consistent with earlier work suggesting that the critical exponent monotonically approaches 1/2 in this limit.Comment: 11 pages, 5 figure

Hamiltonian dynamics of Lovelock black holes with spherical symmetry

We consider spherically symmetric black holes in generic Lovelock gravity. Using geometrodynamical variables we do a complete Hamiltonian analysis, including derivation of the super-Hamiltonian and super-momentum constraints and verification of suitable boundary conditions for asymptotically flat black holes. Our analysis leads to a remarkably simple fully reduced Hamiltonian for the vacuum gravitational sector that provides the starting point for the quantization of Lovelock block holes. Finally, we derive the completely reduced equations of motion for the collapse of a spherically symmetric charged, self-gravitating complex scalar field in generalized flat slice (Painlev\'{e}-Gullstrand) coordinates.Comment: 53 pages, including two major appendices; some typos fixed; version published in CQ

Quantum Mechanics of the Interior of Radiating 2-D Black Holes

We study the homogeneous sector of the RST model describing the gravitational dynamics, including back-reaction, of radiating 2-d black holes. We find the exact solutions both in conformal gauge and in time-parametrized form, isolate the black hole sector of the classical phase space and quantize the near singularity dynamics in conformal gauge. We show that different choices of measure and different self-adjoint extensions can lead to inequivalent quantum theories, all of which resolve the singularity. For a specific range of extension parameters, the Hamiltonian spectrum admits bound states that correspond physically to stable remnants. Finally, we argue that our work provides a good starting point for quantization of the full homogeneous theory using both reduced and Dirac quantization

Integrability of the Einstein-nonlinear SU(2)SU(2) σ\sigma-model in a nontrivial topological sector

The integrability of the\ $\Lambda-$Einstein-nonlinear $SU(2)$ $\sigma$-model with nonvanishing cosmological charge is studied. We apply the method of singularity analysis of differential equations and we show that the equations for the gravitational field are integrable. The first few terms of the solution are presented.Comment: 6 pages, 2 figures, published at EPJ

Bradley King

During the preliminary research that culminated in my volume Talbot Mundy, Philosopher of Adventure (McFarland 2005), I investigated the anomaly of the book Her Reputation, titled The Bubble Reputation in the UK, Mundy’s sole literary collaboration as well as the only book he wrote with a “photoplay edition” motion picture tie-in. Who was his coauthor, Bradley King? The standard references offered only a long list of credits. The Academy of Motion Picture Arts & Sciences had two clippings, revealing that “Bradley” was not a man, but an attractive female brunette. County and city legal records were the next recourse, and other bits came from brief mentions in articles and papers, found as I began researching a biography of producer Thomas Ince (1880–1924). From this research I realized that, despite King’s obscurity today, she ranked as one of the leading female screenwriters during the 1920s and 1930s