88 citations · 133 across the 8 of their papers we have counts for
5 papers · 1 filter
Adaptive hp-Refinement for Spectral Elements in Numerical Relativity
Sarah Renkhoff, Daniela Cors, David Hilditch +1
When a numerical simulation has to handle a physics problem with a wide range of time-dependent length scales, dynamically adaptive discretizations can be the method of choice. We…
Normal modes of Proca fields in AdS spacetime
Tiago V. Fernandes, David Hilditch, José P. S. Lemos +1
A normal mode analysis for Proca fields in the anti-de Sitter (AdS) spacetime is given. It is found that the equations for the Proca field can be decoupled analytically. This is pe…
Shock-avoiding slicing conditions: tests and calibrations
Thomas W. Baumgarte, David Hilditch
While the 1+log slicing condition has been extremely successful in numerous numerical relativity simulations, it is also known to develop "gauge-shocks" in some examples. Alternati…
Regularizing Dual-Frame Generalized Harmonic Gauge at Null Infinity
Miguel Duarte, Edgar Gasperín, Justin C. Feng +1
The dual-frame formalism leads to an approach to extend numerical relativity simulations in generalized harmonic gauge (GHG) all the way to null infinity. A major setback is that w…
The Initial Value Formulation of Dynamical Chern-Simons Gravity
Térence Delsate, David Hilditch, Helvi Witek
We derive an initial value formulation for dynamical Chern-Simons gravity, a modification of general relativity involving parity-violating higher derivative terms. We investigate t…