279 citations · 1.6k across the 73 of their papers we have counts for
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Hyperbolic extensions of constrained PDEs
Fernando Abalos, Oscar Reula, David Hilditch
Systems of PDEs comprised of a combination of constraints and evolution equations are ubiquitous in physics. For both theoretical and practical reasons, such as numerical integrati…
Spherical Evolution of the Generalized Harmonic Gauge Formulation of General Relativity on Compactified Hyperboloidal Slices
Christian Peterson, Shalabh Gautam, Alex Vañó-Viñuales +1
We report on the successful numerical evolution of the compactified hyperboloidal initial value problem in general relativity using generalized harmonic gauge. We work in spherical…
Solving the Einstein Equations Numerically
David Hilditch
There are many complementary approaches to the construction of solutions to the field equations of general relativity. Among these, numerical approximation offers the only possibil…
Simulations of gravitational collapse in null coordinates: II. Critical collapse of an axisymmetric scalar field
Carsten Gundlach, Thomas W. Baumgarte, David Hilditch
We present the first numerical simulations in null coordinates of the collapse of nonspherical regular initial data to a black hole. We restrict to twist-free axisymmetry, and re-i…
Simulations of gravitational collapse in null coordinates: I. Formulation and weak-field tests in generalised Bondi gauges
Carsten Gundlach, David Hilditch, Thomas W. Baumgarte
We present a code for numerical simulations of the collapse of regular initial data to a black hole in null coordinates. We restrict to twist-free axisymmetry with scalar field mat…
Twist-free axisymmetric critical collapse of a complex scalar field
Krinio Marouda, Daniela Cors, Hannes R. Rüter +2
Critical phenomena in gravitational collapse are characterized by the emergence of surprising structure in solution space, namely the appearance of universal power-laws and periodi…