Blow-Up of Test Fields Near Cauchy Horizons
J. Rauch, A. D. Rendall
Abstract
The behaviour of test fields near a compact Cauchy horizon is investigated. It is shown that solutions of nonlinear wave equations on Taub spacetime with generic initial data cannot be continued smoothly to both extensions of the spacetime through the Cauchy horizon. This is proved using an energy method. Similar results are obtained for the spacetimes of Moncrief containing a compact Cauchy horizon and for more general matter models.
Create a lesson
Related papers
Multimessenger astrophysics drives the case for an Australian Gravitational-Wave observatory
Fiona H. Panther, Paul D. Lasky, Nikhil Sarin
Binary black hole mergers in massive Einstein-scalar-Gauss-Bonnet gravity
Harry L. H. Shum, Llibert Aresté Saló, Miguel Bezares et al.
Noisy pipelines II: Non-parametric Noise Inference for LISA
Charlie Hoy, Joseph Bayley, Ollie Burke et al.
Quasi-Normal Modes of Covariant Loop Quantum Black Holes
Chao Zhang, Sushant G. Ghosh, Anzhong Wang
Kerr metric perturbations for second-order self-force theory
Benjamin Leather, Samuel D. Upton, Patrick Bourg et al.
Multi-domain spectral method for Kerr spacetimes: a hyperboloidal Teukolsky m-mode solver for self-force computations
Brad Cownden, Rodrigo Panosso Macedo, Christiana Pantelidou et al.