12 papers
Comparing twist-free axisymmetric gravitational waves near the black hole threshold
Ananya Adhikari, Tomáš Ledvinka, Daniela Cors +4
The threshold of black hole formation in axisymmetric vacuum gravity is proving to be more complicated than had been anticipated but, following recent advances, a consensus between…
Critical collapse of vacuum spacetimes: Nakamura wave initial data
Thomas W. Baumgarte, Carsten Gundlach, David Hilditch
We report on numerical simulations of critical phenomena in the collapse of axisymmetric vacuum gravitational waves, adopting families of initial data that, to the best of our know…
Strong Hyperbolicity of Second-Order PDEs via Matrix Pencils
Fernando Abalos, David Hilditch
We introduce a definition of strong hyperbolicity for second order partial differential equations using second order pencils. We show that this definition is equivalent to the stan…
Existence and stability of discretely self-similar blowup for a wave maps type equation
Irfan GlogiÄ, David Hilditch, David Wallauch
We study finite-time blowup for a nonlinear wave equation for maps from the Minkowski space into the 1-sphere , whose nonlinearity exhibits a null-…
Twist and higher modes of a complex scalar field at the threshold of collapse
Krinio Marouda, Daniela Cors, Hannes R. Rüter +2
We investigate the threshold of collapse of a massless complex scalar field in axisymmetric spacetimes under the ansatz of Choptuik et al. 2004, in which a symmetry depending on th…
Pseudospectral implementation of the Einstein-Maxwell system
Jorge Expósito Patiño, Hannes R. Rüter, David Hilditch
Electromagnetism plays an important role in a variety of applications in gravity that we wish to investigate. To that end, in this work, we present an implementation of the Maxwell…