Bulletin of the American Physical Society
APS April Meeting 2014
Volume 59, Number 5
Saturday–Tuesday, April 5–8, 2014; Savannah, Georgia
Session S11: Invited Session: Singularities in General Relativity |
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Sponsoring Units: GGR Chair: Dierdre Shoemaker, Georgia Institute of Technology Room: Oglethorpe Auditorium |
Monday, April 7, 2014 1:30PM - 2:06PM |
S11.00001: On the Nature of Singularities in Cosmological Solutions of Einstein's Equations Invited Speaker: James Isenberg The Hawking-Penrose theorems tell us that cosmological solutions of Einstein's equations are generally singular, in the sense of the incompleteness of causal geodesics (the paths of physical observers). These singularities might be marked by the blowup of curvature and therefore crushing tidal forces, or by the breakdown of physical determinism. Penrose has conjectured (in his ``Strong Cosmic Censorship Conjecture'') that it is generically unbounded curvature that causes singularities, rather than causal breakdown. The verification that BKL behavior (marked by the domination of time derivatives over space derivatives) is generically present in a family of solutions has proven to be a useful tool for studying Strong Cosmic Censorship in that family. We discuss what is known about BKL behavior and Strong Cosmic Censorship in families of solutions defined by varying degrees of isometry, and discuss new results which we believe will extend this knowledge and provide new support for Strong Cosmic Censorship. [Preview Abstract] |
Monday, April 7, 2014 2:06PM - 2:42PM |
S11.00002: Dynamics near Space-like Singularities and Quantum Bounces Invited Speaker: Abhay Ashtekar The Belinkskii, Khalatnikov and Lifshitz conjecture says that as one approaches space-like singularities in general relativity, ``time derivatives dominate over spatial derivatives'' so that the dynamics at any spatial point is well captured by an ordinary differential equation. This talk will review results from a formulation of this conjecture motivated by Hamiltonian ``connection dynamics'' both in classical general relativity and loop quantum cosmology. [Preview Abstract] |
Monday, April 7, 2014 2:42PM - 3:18PM |
S11.00003: Numerical Investigations of Singularities in General Relativity Invited Speaker: David Garfinkle The singularity theorems of general relativity tell us that spacetime singularities form in gravitational collapse, but tell us very little about the precise nature of these singularities. More information can be found using analytic approximations and numerical simulations. It is conjectured that inside black holes are two types of singularities: one that is spacelike, local, and oscillatory, and the other that is null and weak. This talk will review what numerical simulations of singularities have been done and the extent to which the above conjecture has been verified by the simulations. [Preview Abstract] |
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