Bulletin of the American Physical Society
2005 APS April Meeting
Saturday–Tuesday, April 16–19, 2005; Tampa, FL
Session C10: Focus Session: Classical and Mathematical Relativity |
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Sponsoring Units: GGR Chair: Jim Isenberg, University of Oregon Room: Marriott Tampa Waterside Room 6 |
Saturday, April 16, 2005 1:30PM - 2:06PM |
C10.00001: The BKL proposal and cosmic censorship Invited Speaker: I will discuss recent theoretical work, and numerical experiments, which shed light on the structure of generic cosmological singularities. [Preview Abstract] |
Saturday, April 16, 2005 2:06PM - 2:18PM |
C10.00002: Generalized spacetimes with quantum singularities Deborah A. Konkowski, Thomas M. Helliwell Levi-Civita and Raychaudhuri spacetimes are generalized with the addition of disclinations and space-like and time-like dislocations. These new solutions to Einstein's Field Equations are then tested for classical and quantum singularities. Whereas a classical singularity is present if there are incomplete geodesics or incomplete curves of bounded acceleration in these otherwise maximal spacetimes, a quantum singularity is said to be present if the propagation of a quantum wave packet is ill-posed (in particular, if the Klein-Gordon wave operator is not essentially self-adjoint). We find that in these generalized spacetimes classical quasiregular and scalar curvature singularities are mirrored by generic quantum singularities. [Preview Abstract] |
Saturday, April 16, 2005 2:18PM - 2:30PM |
C10.00003: The Never Ending Tale of Price's Tail (yet one more time again) Alexander Smith, Lior Burko The Price tail of black hole perturbations has been studied extensively over the last three decades. Surprisingly, there is still some confusion regarding the fine details of the phenomenon -- even for the Schwarzschild spacetime that is usually considered to have been fully solved as early as 1972. We consider here higher-order (in inverse time) corrections to the power-law tail, and discuss Hod's result that the correction includes a logarithmic term. By carefully analyzing numerical data we conclude that no logarithmic correction terms are expected. [Preview Abstract] |
Saturday, April 16, 2005 2:30PM - 2:42PM |
C10.00004: Status of Einstein-Aether Theory Christopher Eling, Ted Jacobson, David Mattingly Einstein-Aether theory is Einstein gravity coupled to a dynamical unit timelike vector field. This provides a generally covariant theory of Lorentz symmetry breaking that can be tested and constrained by observations. The current understanding of the theory, its consequences, and the observational constraints will be summarized. [Preview Abstract] |
Saturday, April 16, 2005 2:42PM - 2:54PM |
C10.00005: Einstein-Aether black holes Chris Eling, Ted Jacobson Einstein-Aether theory is Einstein gravity coupled to a dynamical unit timelike vector field. Numerical evidence suggests that the theory admits a discrete family of static black hole solutions for each horizon radius. These solutions have a singularity at finite area radius inside the horizon. Our current understanding of the black hole solutions will be discussed. [Preview Abstract] |
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C10.00006: Kepler's Law in Relativistic Field Theories Christopher Beetle, Konstantin Yakunin An important current problem in gravitational physics is that of modeling the orbits of binary systems. Among such systems, those comprising a pair of black holes are particularly important due to the relative strength of the gravitational radiation they produce. As a result, many clever techniques are being invented to generate initial data sets for general relativity describing binary black holes. However, it may not be entirely clear which of these data sets are physical. In Newtonian theory, Kepler's law ties together the basic orbital parameters --- the masses, separation and velocities of the two objects --- by demanding dynamical stability of the orbit itself. However, a similar analysis in general relativity would be considerably more subtle. This presentation investigates how one might derive a modified version of Kepler's law which applies to binary black hole systems in full, non-linear general relativity. This investigation is conducted using a much- simplified toy model, and possible pitfalls in extending its results to general relativity will be discussed. [Preview Abstract] |
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C10.00007: A practical example of linearization instabilities in gravitational perturbation theory: Einstein static Bojan Losic I demonstrate how linear approximations to Einstein's equations can sometimes fail to be consistent, owing to linearization instabilities, by considering the example of (stable) inhomogeneous linear fluctuations of an irrotational perfect fluid and metric about Einstein static. By demanding that the linearized solutions be {\it consistent} in addition to solving the linearized equations of motion, i.e. by demanding linearization stability, it is shown that they must include (unstable) homogeneous fluctuations of comparable amplitude in order that the second order initial value problem be well-posed. [Preview Abstract] |
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