Bulletin of the American Physical Society
Fall 2009 Meeting of the Four Corners Section of the APS
Volume 54, Number 14
Friday–Saturday, October 23–24, 2009; Golden, Colorado
Session H5: Black Holes and Spacetime Physics |
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Chair: Chad Middleton, Mesa State University Room: Green Center 265 |
Saturday, October 24, 2009 11:20AM - 11:32AM |
H5.00001: Clustering of Primordial Black Holes and the Evolution of Bound Systems James Chisholm In a previous paper, I showed that Primordial Black Holes (PBHs) are created with a high degree of spatial clustering. A consequence of this is the formation of bound PBH systems as the first gravitationally bound objects in the universe. The evolution of these systems will be discussed, with a focus on systems that undergo multiple mergers before they otherwise would have evaporated via Hawking radiation. This changes constraints both on the production of PBHs in the early universe and on the possibility of PBHs being the seeds of supermassive black holes at the centers of galaxies. [Preview Abstract] |
Saturday, October 24, 2009 11:32AM - 11:44AM |
H5.00002: Gravitational waves and the formation of accretion disks in the merger of black hole-neutron star binaries Michael Besselman We describe our work on the evolution of binary systems that consist of a neutron star and a black hole. With a detailed study of the evolution of such systems we are able to compute gravitational wave signatures for the late in spiral and merger phases for these binaries. In addition we explore some of the conditions required to create an accretion disk from such systems. We will present results for these gravitational wave signatures and accretion disks for neutron stars that are both magnetized and unmagnetized. [Preview Abstract] |
Saturday, October 24, 2009 11:44AM - 11:56AM |
H5.00003: Harmonic (Lorenz) Gauge Perturbations of the Schwarzschild Metric Mark Berndtson The satellite observatory LISA will be capable of detecting gravitational waves from extreme mass ratio inspirals (EMRIs), such as a small black hole orbiting a supermassive black hole. The gravitational effects of the much smaller mass can be treated as the perturbation of a known background metric, here the Schwarzschild metric. The perturbed Einstein field equations form a system of ten coupled partial differential equations. We solve the equations in the harmonic gauge, usually called the Lorenz gauge or Lorentz gauge. Using separation of variables and Fourier transforms, we write the solutions in terms of six radial functions which satisfy decoupled ordinary differential equations. The six functions are the Zerilli and five generalized Regge-Wheeler functions of spin $s=2,1$ or $0$. We then use the solutions to calculate the gravitational self-force for circular orbits. The self- force gives the first order perturbative corrections to the equations of motion. This talk is based mainly on unpublished thesis work, which is online at www.arxiv.org (gr-qc 0904.0033). [Preview Abstract] |
Saturday, October 24, 2009 11:56AM - 12:08PM |
H5.00004: Vacuum Structure of Yang-Mills Theory in Curved Spacetime Samuel Collopy The stability of the chromomagnetic Savvidy vacuum in QCD under the influence of positive Riemannian curvature is studied. The heat traces of the operators relevant to $SO(2)$ gauge-invariant Yang-Mills fields and Faddeev-Popov ghosts are calculated on product spaces of $S^2$ and $S^1 \times S^1$. It is shown that the chromomagnetic vacuum with covariantly constant chromomagnetic field is stable in a certain set of radii and field strengths. [Preview Abstract] |
Saturday, October 24, 2009 12:08PM - 12:20PM |
H5.00005: Numerical Methods for Solving the Einstein-Maxwell Equations in Symmetric Spacetimes Chris Verhaaren We present a method for solving the Einstein-Maxwell equations of general relativity in spacetimes with symmetries. Our example spacetime is a 4+1 dimensional spacetime which has one time symmetry and two independent angular symmetries. We show that the five dimensional Einstein-Maxwell equations can be transformed into a set of elliptic partial differential equations in two variables for six scaler fields coupled to the two dimensional Einstein-Maxwell equations. Using a self-consistent field approach, this becomes a numerically solvable problem. We present our numerical solutions for special cases and compare with known solutions. [Preview Abstract] |
Saturday, October 24, 2009 12:20PM - 12:32PM |
H5.00006: Anisotropic Evolution of $D$-Dimensional FRW Spacetime Chad Middleton We examine the evolution of the $D$-dimensional Einstein field equations subject to a flat, anisotropic Friedmann-Robertson-Walker (FRW) metric. By choosing equations of state relating the 4- and $d$-dimensional pressures to the density, we obtain an expression relating the scale factors to an integration constant. For certain special cases, we obtain exact solutions to the field equations. When the integration constant is set to zero, we obtain the dynamical compactification scenario of Mohammedi et al. [Preview Abstract] |
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