107 citations · 895 across the 55 of their papers we have counts for
6 papers · 2 filters
On periodic solutions of nonlinear wave equations, including Einstein equations with a negative cosmological constant
Piotr T. Chruściel
Original abstract: "We construct periodic solutions of nonlinear wave equations using analytic continuation. The construction applies in particular to Einstein equations, leading t…
On non-degeneracy of Riemannian Schwarzschild-anti de Sitter metrics
Piotr T. Chruściel, Erwann Delay, Paul Klinger
We prove that the -gauge-fixed linearised Einstein operator is non-degenerate for Riemannian Kottler ("Schwarzschild-anti de Sitter") metrics with dimension- and topology-depen…
Non-singular spacetimes with a negative cosmological constant: IV. Stationary black hole solutions with matter fields
Piotr T. Chruściel, Erwann Delay, Paul Klinger
We use an elliptic system of equations with complex coefficients for a set of complex-valued tensor fields as a tool to construct infinite-dimensional families of non-singular stat…
Energy in higher-dimensional spacetimes
Hamed Barzegar, Piotr T. Chruściel, Michael Hörzinger
We derive expressions for the total Hamiltonian energy of gravitating systems in higher dimensional theories in terms of the Riemann tensor, allowing a cosmological constant $Λ\in…
Towards a classification of vacuum near-horizons geometries
Piotr T. Chruściel, Sebastian J. Szybka, Paul Tod
We prove uniqueness of the near-horizon geometries arising from degenerate Kerr black holes within the collection of nearby vacuum near-horizon geometries.
Non-singular spacetimes with a negative cosmological constant: III. Stationary solutions with matter fields
Piotr T. Chruściel, Erwann Delay, Paul Klinger
Generalising the results in arXiv:1612.00281, we construct infinite-dimensional families of non-singular stationary space times, solutions of Yang-Mills-Higgs-Einstein-Maxwell-Cher…