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16 papers · 1 filter
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…
From Tensor Equations to Numerical Code -- Computer Algebra Tools for Numerical Relativity
Christiane Lechner, Dana Alic, Sascha Husa
In this paper we present our recent work in developing a computer-algebra tool for systems of partial differential equations (PDEs), termed "Kranc". Our work is motivated by the pr…
Constraint and gauge shocks in one-dimensional numerical relativity
Bernd Reimann, Miguel Alcubierre, José A. González +1
We study how different types of blow-ups can occur in systems of hyperbolic evolution equations of the type found in general relativity. In particular, we discuss two independent c…
Higher spin fields from indefinite Kac-Moody algebras
Sophie de Buyl, Axel Kleinschmidt
The emergence of higher spin fields in the Kac-Moody theoretic approach to M-theory is studied. This is based on work done by Schnakenburg, West and the second author. We then stud…
Holography and Quantum Gravity in 3+1 Dimensions
Kelly C. Davis
This paper has been withdrawn by the author, due an error in computing the invariance of the so(4,1) and so(3,2) "inner product."
Eleven dimensional supergravity and the E10/KE10 sigma-model at low A9 levels
T. Damour, H. Nicolai
Recently, the concept of a nonlinear sigma-model over a coset space G/H was generalized to the case where the group G is an infinite-dimensional Kac-Moody group, and H its (formal)…