The Evolution Problem in General Relativity

CORDIS provides links to public deliverables and publications of HORIZON projects.

Links to deliverables and publications from FP7 projects, as well as links to some specific result types such as dataset and software, are dynamically retrieved from OpenAIRE .

Publications

Sharp decay for Teukolsky equation in Kerr spacetimes

Author(s): Siyuan Ma, Lin Zhang
Published in: 2021
Publisher: arXiv

Price's law for spin fields on a Schwarzschild background

Author(s): Ma, Siyuan; Zhang, Lin
Published in: https://hal.archives-ouvertes.fr/hal-03224717, 2021
Publisher: arXiv
DOI: 10.48550/arxiv.2104.13809

Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture

Author(s): Siyuan Ma, Lin Zhang
Published in: 2022
Publisher: arXiv

Wave equations estimates and the nonlinear stability of slowly rotating Kerr black holes

Author(s): Elena Giorgi, Sergiu Klainerman, Jeremie Szeftel
Published in: 2022
Publisher: arXiv

Construction of GCM hypersurfaces in perturbations of Kerr

Author(s): Dawei Shen
Published in: 2022
Publisher: arXiv

Kerr stability for small angular momentum

Author(s): Sergiu Klainerman, Jeremie Szeftel
Published in: 2021
Publisher: arXiv

Scattering from infinity for semilinear models of Einstein's equations satisfying the weak null condition

Author(s): Volker Schlue, Hans Lindblad
Published in: 2017
Publisher: arXiv

Stability for linearized gravity on the Kerr spacetime

Author(s): Siyuan Ma, Lars Andersson,Thomas Backdahl, Pieter Blue
Published in: 2019
Publisher: HAL

A general formalism for the stability of Kerr

Author(s): Elena Giorgi, Sergiu Klainerman, Jeremie Szeftel
Published in: 2020
Publisher: arXiv

Nonlinear stability of the slowly-rotating Kerr-de Sitter family

Author(s): Allen Fang
Published in: 2021
Publisher: arXiv

Global nonlinear stability of Minkowski space for spacelike-characteristic initial data

Author(s): Olivier Graf
Published in: 2020
Publisher: arXiv

Linear stability of the slowly-rotating Kerr-de Sitter family

Author(s): Allen Fang
Published in: 2022
Publisher: arXiv

Decay of the Weyl curvature in expanding black hole cosmologies

Author(s): Volker Schlue
Published in: Annals of PDE, Issue 21992576, 2022, Page(s) Article 9, ISSN 2199-2576
Publisher: Springer
DOI: 10.48550/arxiv.1610.04172

Sharp decay estimates for massless Dirac fields on a Schwarzschild background

Author(s): Siyuan Ma; Lin Zhang
Published in: Journal of Functional Analysis, Issue 00221236, 2022, Page(s) 109375, ISSN 0022-1236
Publisher: Academic Press
DOI: 10.48550/arxiv.2008.11429

Nonlinear radiation gauge for near Kerr spacetimes

Author(s): Lars Andersson; Thomas Bäckdahl; Pieter Blue; Siyuan Ma
Published in: Communications in Mathematical Physics, Issue 00103616, 2022, Page(s) 45-90, ISSN 0010-3616
Publisher: Springer Verlag
DOI: 10.1007/s00220-022-04461-3

Parametrix for wave equations on a rough background III: Space-time regularity of the phase

Author(s): Jeremie Szeftel
Published in: Asterisque, Issue 401, 2018, Page(s) 321 pages, ISSN 0303-1179
Publisher: Societe Mathematique de France

On “Hard Stars” in General Relativity

Author(s): Grigorios Fournodavlos, Volker Schlue
Published in: Annales Henri Poincaré, Issue 14240637, 2019, Page(s) 2135-2172, ISSN 1424-0637
Publisher: Birkhauser Verlag
DOI: 10.1007/s00023-019-00793-4

Optical functions in de Sitter

Author(s): Volker Schlue
Published in: Journal of Mathematical Physics, 2021, ISSN 0022-2488
Publisher: American Institute of Physics

The spacelike-characteristic Cauchy problem of general relativity in low regularity

Author(s): Olivier Graf, Stefan Czimek
Published in: Annals of PDE, Issue 8, 2022, Page(s) Article 22, ISSN 2199-2576
Publisher: Springer

The canonical foliation on null hypersurfaces in low regularity

Author(s): Olivier Graf, Stefan Czimek
Published in: Annals of PDE, Issue 8, 2022, Page(s) Article 23, ISSN 2199-2576
Publisher: Springer

Almost Price's law in Schwarzschild and decay estimates in Kerr for Maxwell field

Author(s): Siyuan Ma
Published in: Journal of Differential Equations, Issue 339, 2022, Page(s) 1-89, ISSN 0022-0396
Publisher: Academic Press

Constructions of GCM spheres in perturbations of Kerr

Author(s): Sergiu Klainerman, Jeremie Szeftel
Published in: Annals of PDE, Issue 8, 2022, Page(s) Article 17, ISSN 2199-2576
Publisher: Springer

Effective results on uniformization and intrinsic GCM spheres in perturbations of Kerr

Author(s): Sergiu Klainerman, Jeremie Szeftel
Published in: Annals of PDE, Issue 8, 2022, Page(s) Article 18, ISSN 2199-2576
Publisher: Springer

On the implosion of a compressible fluid I: Smooth self-similar inviscid profiles

Author(s): Frank Merle, Pierre Raphael, Igor Rodnianski, Jeremie Szeftel
Published in: Annals of Math, Issue 196, 2022, Page(s) 567-778, ISSN 0003-486X
Publisher: Princeton University Press

On blow up for the energy super critical defocusing non linear Schrödinger equations

Author(s): Frank Merle, Pierre Raphael, Igor Rodnianski, Jeremie Szeftel
Published in: Inventiones Math, Issue 227, 2022, Page(s) 247-413, ISSN 0020-9910
Publisher: Springer Verlag

On the implosion of a compressible fluid II: Singularity formation

Author(s): Frank Merle, Pierre Raphael, Igor Rodnianski, Jeremie Szeftel
Published in: Annals of Math, Issue 196, 2022, Page(s) 779-889, ISSN 0003-486X
Publisher: Princeton University Press

Global Nonlinear Stability of Schwarzschild Spacetime under Polarized Perturbations

Author(s): Sergiu Klainerman and Jeremie Szeftel
Published in: Annals of Math Studies, 2020, Page(s) xviii+856 pp, ISBN 9780691212432
Publisher: Princeton University Press

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