Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Energy of gravitational field: geometric and functional-analytic aspects together with physical implications

2011/03/B/ST1/02625

Keywords:

energy gravity Hamiltonian field theory symplectic geometry quantum fields variational principle

Descriptors:

  • ST1_12: Mathematical methods of physics
  • ST1_11: Partial differential equations
  • ST1_18: Control theory and optimisation

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 PAN

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: 5

Call: OPUS 2 - announced on 2011-09-15

Amount awarded: 440 500 PLN

Project start date (Y-m-d): 2012-09-07

Project end date (Y-m-d): 2016-09-06

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Komputer stacjonarny typu "desktop" z monitorem i drukarką (4 000 PLN)
  2. Licencja na pakiet do obliczeń numerycznych i symbolicznych ,,Mathematica Standard 10.4 (1 930 PLN)
  3. Czytnik tekstów Kindle (549 PLN)
  4. Komputery przenośne (,,notebooki'') oraz elektroniczne urządzenie do czytania książek i czasopism (3 szt.) (14 000 PLN)

Information in the final report

  • Publication in academic press/journals (14)
  • Book publications / chapters in book publications (2)
  1. Outer trapped surfaces are dense near MOTSs
    Authors:
    P. Chrusciel, G. Galloway
    Academic press:
    Classical and Quantum Gravity (rok: 2014, tom: 31, strony: 045013 (11pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0264-9381/31/4/045013 - link to the publication
  2. Space-time diagrammatics
    Authors:
    Piotr T. Chruściel; Christa R. Ölz; Sebastian J. Szybka
    Academic press:
    PHYSICAL REVIEW D (rok: 2012, tom: 86, strony: 124041-1 124041-20), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.86.124041 - link to the publication
  3. Vacuum spacetimes with controlled singularities and without symmetries
    Authors:
    P. T. Chruściel, P. Klinger
    Academic press:
    PHYSICAL REVIEW D (rok: 2015, tom: 92, strony: 041501-1), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.92.041501 - link to the publication
  4. Hamiltonian mass of asymptotically Schwarzschild–de Sitter space-times
    Authors:
    P. Chrusciel, J. Jezierski, J. Kijowski
    Academic press:
    Phys. Rev. D (rok: 2013, tom: 87, strony: 124015-1 124015-11), Wydawca: American Physical Society
    Status:
    Published
    DOI:
    10.1103/PhysRevD.87.124015 - link to the publication
  5. The 3 + 1 decomposition of conformal Yano–Killing tensors and 'momentary' charges for the spin-2 field
    Authors:
    Jacek Jezierski; Szymon Migacz
    Academic press:
    Classical and Quantum Gravity (rok: 2015, tom: 32, strony: 035016 (18pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0264-9381/32/3/035016 - link to the publication
  6. Universality of the Einstein theory of gravitation
    Authors:
    Jerzy Kijowski
    Academic press:
    International Journal of Geometric Methods in Modern Physics (rok: 2016, tom: 13, strony: 1640008-1 1640008-20), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219887816400089 - link to the publication
  7. On differentiability of volume time functions
    Authors:
    P.T. Chruściel, J. Grant, E. Minguzzi
    Academic press:
    Annales Henri Poincaré (rok: 2016, tom: 17, strony: 2801–2824), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00023-015-0448-3 - link to the publication
  8. Rigid spheres in Riemannian spaces
    Authors:
    H.-P. Gittel, J. Jezierski, J. Kijowski, S. Łęski
    Academic press:
    Class. Quantum Grav. (rok: 2013, tom: 30, strony: 175010 (18pp)), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/0264-9381/30/17/175010 - link to the publication
  9. Symplectic structures related with higher order variational problems
    Authors:
    Jerzy Kijowski; Giovanni Moreno
    Academic press:
    International Journal of Geometric Methods in Modern Physics (rok: 2015, tom: 12, strony: 1550084 (45 pages)), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S021988781550084X - link to the publication
  10. Geometric structure of the arrival time operator
    Authors:
    Jerzy Kijowski
    Academic press:
    International Journal of Geometric Methods in Modern Physics (rok: 2014, tom: 11, strony: 1460021 (8 pages)), Wydawca: World Scientific Publishing Company
    Status:
    Published
    DOI:
    10.1142/S0219887814600214 - link to the publication
  11. Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes
    Authors:
    Chrusciel, P. T.; Kijowski, J. J.; Jezierski, J.
    Academic press:
    PHYSICAL REVIEW D (rok: 2015, tom: 92, strony: 084030-1 084030-30), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.92.084030 - link to the publication
  12. On the Existence of Rigid Spheres in Four-Dimensional Spacetime Manifolds
    Authors:
    H.-P. Gittel, J. Jezierski, J. Kijowski
    Academic press:
    Vietnam Journal of Mathematics (rok: 2016, tom: 44, strony: 231 -- 249), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10013-016-0185-z - link to the publication
  13. The existence theorem for the general relativistic Cauchy problem on the light-cone
    Authors:
    Piotr T. Chruściel
    Academic press:
    Forum of Mathematics, Sigma (rok: 2014, tom: 2, strony: 18264), Wydawca: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/fms.2013.8 - link to the publication
  14. A modification of the projective construction of quantum states for field theories
    Authors:
    J. Kijowski, A. Okołów
    Academic press:
    Classical and Quantum Gravity , Wydawca: IOP Science
    Status:
    Submitted
    DOI:
    brak - link to the publication
  1. Proof of positive energy theorem by spacetime foliations
    Authors:
    J. Jezierski, P. Waluk
    Book:
    Banach Center Publications (rok: 2016, tom: 110, strony: 45297), Wydawca: Institute of Mathematics, Polish Academy of Sciences
    Status:
    Published
  2. Wigner Function of a Qubit
    Authors:
    J. Kijowski, P. Waluk, K. Senger
    Book:
    Banach Center Publications (rok: 2016, tom: 110, strony: 45300), Wydawca: Institute of Mathematic, Polish Academy of Sciences
    Status:
    Published

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