Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

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Stability of the Cauchy problem for Einstein equations: classical and quantum aspects.

2016/21/B/ST1/00940

Keywords:

Einstein equations Cauchy problem black holes extremal horizons Hamiltonian gravity positivity energy theorem

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_11: Partial differential equations
  • ST1_5: Geometry

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Centrum Fizyki Teoretycznej Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Jerzy Kijowski 

Number of co-investigators in the project: 4

Call: OPUS 11 - announced on 2016-03-15

Amount awarded: 321 000 PLN

Project start date (Y-m-d): 2017-01-16

Project end date (Y-m-d): 2022-01-15

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Komputery typu notebook (15 000 PLN)
  2. Tablet graficzny.

Information in the final report

  • Publication in academic press/journals (15)
  • Articles in post-conference publications (3)
  • Book publications / chapters in book publications (2)
  1. Gauge invariant description of weak gravitational field on a spherically symmetric background with cosmological constant
    Authors:
    Jacek Jezierski, Piotr Waluk
    Academic press:
    Classical and Quantum Gravity (rok: 2019, tom: 36, strony: 215006), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab42c8 - link to the publication
  2. Localizing energy in Fierz-Lanczos theory
    Authors:
    J. Jezierski, J. Kijowski, M. Wiatr
    Academic press:
    Phys. Rev. D (rok: 2020, tom: 102, strony: 024015-1 -- 024015-17), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.102.024015 - link to the publication
  3. On linearised vacuum constraint equations on Einstein manifolds
    Authors:
    Robert Beig, Piotr T. Chruściel
    Academic press:
    Classical and Quantum Gravity (rok: 2020, tom: 37, strony: 215012-1 -- 215012-14), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ab81cc - link to the publication
  4. Weakly gravitating isotropic waveguides
    Authors:
    R Beig, P T Chruściel, C Hilweg, P Kornreich, P Walther
    Academic press:
    Classical and Quantum Gravity (rok: 2018, tom: 35, strony: 244001 (32pp)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/aae873 - link to the publication
  5. A modification of the projective construction of quantum states for field theories
    Authors:
    Jerzy Kijowski, Andrzej Okołów
    Academic press:
    JOURNAL OF MATHEMATICAL PHYSICS (rok: 2017, tom: 58, strony: 062303-1 062303-14), Wydawca: American Institute of Physics
    Status:
    Published
    DOI:
    10.1063/1.4989550 - link to the publication
  6. Gauge-invariant quadratic approximation of quasi-local mass and its relation with Hamiltonian for gravitational field
    Authors:
    J. Kijowski, J. Jezierski, P. Waluk
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 095006 (15pp)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/abdb4c - link to the publication
  7. Simple description of generalized electromagnetic and gravitational hopfions
    Authors:
    Jacek Jezierski, Tomasz Smołka
    Academic press:
    Classical and Quantum Gravity (rok: 2018, tom: 35, strony: 245010 1-26), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aaeb51 - link to the publication
  8. Conformal Yano-Killing tensors for space-times with cosmological constant
    Authors:
    Paweł Czajka, Jacek Jezierski
    Academic press:
    Acta Physica Polonica B (rok: 2018, tom: 49, strony: 785-817), Wydawca: Jagiellonian University
    Status:
    Published
    DOI:
    10.5506/APhysPolB.49.785 - link to the publication
  9. Covariant jets of a connection and higher order curvature tensors
    Authors:
    J. Kijowski, K. Senger
    Academic press:
    Journal of Geometry and Physics (rok: 2021, tom: 163, strony: 104092-1 -- 104092-13), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2020.104092 - link to the publication
  10. Energy of weak gravitational waves in spacetimes with a positive cosmological constant
    Authors:
    P. T. Chruściel, S. J. Hoque, T. Smołka
    Academic press:
    Physical Review D (rok: 2021, tom: 103, strony: 064008-1 -- 064008-7), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.103.064008 - link to the publication
  11. On the mass aspect function and positive energy theorems for asymptotically hyperbolic manifolds
    Authors:
    Piotr T Chruściel, Gregory J Galloway, Luc Nguyen and Tim-Torben Paetz
    Academic press:
    Classical and Quantum Gravity (rok: 2018, tom: 35, strony: 115015 (38pp)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/aabed1 - link to the publication
  12. ON NON-DEGENERACY OF RIEMANNIAN SCHWARZSCHILD-ANTI DE SITTER METRICS
    Authors:
    PIOTR T. CHRUŚCIEL, ERWANN DELAY, PAUL KLINGER
    Academic press:
    Advances in Theoretical and Mathematical Physics (rok: 2019, tom: 23, strony: 1215 – 1269), Wydawca: International Press LINK: https://www.intlpress.com/site/pub/pages/journals/items/atmp/content/vols/0023/0005/a002/
    Status:
    Published
    DOI:
    10.4310/ATMP.2019.v23.n5.a2 - link to the publication
  13. On the remarkable universality of Einstein's Gravity Theory
    Authors:
    Jerzy Kijowski, Katarzyna Senger
    Academic press:
    International Journal of Geometric Methods in Modern Physics (rok: 2022, tom: 19, strony: 2250111-1 2250111-24), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219887822501110 - link to the publication
  14. The structure of the singular ring in Kerr-like metrics
    Authors:
    P. T. Chrusciel, M. Maliborski, N. Yunes
    Academic press:
    Physical Review D (rok: 2020, tom: 101, strony: 104048-1 -- 104048-28), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.101.104048 - link to the publication
  15. Weakly trapped surfaces in asymptotically de Sitter spacetimes
    Authors:
    Piotr T Chruściel, Gregory J Galloway, Eric Ling
    Academic press:
    Classical and Quantum Gravity (rok: 2018, tom: 35, strony: 135001 (9p)), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/aac30d - link to the publication
  1. Asymptotically conserved quantities of the gravitational charges associated with (3+1) decomposition of CYK
    Authors:
    Jacek Jezierski, Tomasz Smo lka
    Conference:
    PoToR 2019 (rok: 2019, ), Wydawca: APPOL B
    Data:
    konferencja 2019-09-23 do 2019-09-26
    Status:
    Published
  2. The annoying null boundaries
    Authors:
    Piotr Chruściel, Paul Klinger
    Conference:
    Non-Regular Spacetime Geometry, Florence, Italy (rok: 2017, ), Wydawca: IOP Publishing
    Data:
    konferencja 20–22 June
    Status:
    Published
  3. Fierz theory vs linear gravity
    Authors:
    Marian Wiatr, Jacek Jezierski
    Conference:
    PoToR 2019 (rok: 2019, ), Wydawca: APPOL B
    Data:
    konferencja 2019-09-23 do 2019-09-26
    Status:
    Published
  1. Einstein theory of gravitation is universal
    Authors:
    Kijowski J.J.
    Book:
    Spacetime Physics 1907 - 2017 (rok: 2019, tom: 1, strony: 137 - 160), Wydawca: Minkowski Institut Press
    Status:
    Published
  2. General Relativity Theory and Its Canonical Structure
    Authors:
    Kijowski J.J.
    Book:
    Geometric Methods in Physics (rok: 2018, tom: 1, strony: 255 - 260), Wydawca: Birkhauser Switzerland
    Status:
    Published

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