279 citations · 1.6k across the 73 of their papers we have counts for
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A semi-linear wave model for critical collapse
Isabel Suárez Fernández, Rodrigo Vicente, David Hilditch
In spherical symmetry compelling numerical evidence suggests that in general relativity solutions near the threshold of black hole formation exhibit critical behavior. One aspect o…
Hyperbolicity of General Relativity in Bondi-like gauges
Thanasis Giannakopoulos, David Hilditch, Miguel Zilhao
Bondi-like (single-null) characteristic formulations of general relativity are used for numerical work in both asymptotically flat and anti-de Sitter spacetimes. Well-posedness of…
Improved existence for the characteristic initial value problem with the conformal Einstein field equations
David Hilditch, Juan A. Valiente Kroon, Peng Zhao
We adapt Luk's analysis of the characteristic initial value problem in General Relativity to the asymptotic characteristic problem for the conformal Einstein field equations to dem…
Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates
Maitraya K Bhattacharyya, David Hilditch, K Rajesh Nayak +2
The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a co…