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19962021
most citedGlobal Foliations of Vacuum Spacetimes with Isometry

107 citations · 895 across the 55 of their papers we have counts for

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Showing 2017Show all

6 papers · 1 filter

gr-qc2017★ 1 cited

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…

gr-qc2017★ 2 cited

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…

gr-qc2017★ 7 cited

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…

gr-qc2017★ 10 cited

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…

gr-qc2017★ 10 cited

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.

gr-qc2017★ 9 cited

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…