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6 papers · 2 filters
On characteristic initial data for a star orbiting a black hole
Nigel T. Bishop, Roberto Gomez, Luis Lehner +2
We take further steps in the development of the characteristic approach to enable handling the physical problem of a compact self-gravitating object, such as a neutron star, in clo…
The Volume Operator in Spherically Symmetric Quantum Geometry
Martin Bojowald, Rafal Swiderski
The spherically symmetric volume operator is discussed and all its eigenstates and eigenvalues are computed. Even though the operator is more complicated than its homogeneous analo…
Spherically Symmetric Quantum Geometry: States and Basic Operators
Martin Bojowald
The kinematical setting of spherically symmetric quantum geometry, derived from the full theory of loop quantum gravity, is developed. This extends previous studies of homogeneous…
Local existence and continuation criteria for solutions of the Einstein-Vlasov-scalar field system with surface symmetry
David Tegankong, Norbert Noutchegueme, Alan D. Rendall
We prove in the cases of spherical, plane and hyperbolic symmetry a local in time existence theorem and continuation criteria for cosmological solutions of the Einstein-Vlasov-scal…
The Bianchi IX model in Loop Quantum Cosmology
Martin Bojowald, Ghanashyam Date, Golam Mortuza Hossain
The Bianchi IX model has been used often to investigate the structure close to singularities of general relativity. Its classical chaos is expected to have, via the BKL scenario, i…
Black Hole Excision with Multiple Grid Patches
Jonathan Thornburg
When using black hole excision to numerically evolve a black hole spacetime with no continuous symmetries, most 3+1 finite differencing codes use a Cartesian grid. It's difficult t…