Energy of gravitational field: geometric and functional-analytic aspects together with physical implications
2011/03/B/ST1/02625
Keywords
Descriptors
- ST1_12: Fizyka matematyczna
- ST1_11: Równania różniczkowe cząstkowe
- ST1_18: Zastosowania matematyki w innych naukach
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
Voivodeship: mazowieckie
Principal investigator (from the host institution)
Number of co-investigators in the project: 5
Call
OPUS 2 – announced on 2011-09-15
- Amount awarded
- 440 500 PLN
- Project start date
- 2012-09-07
- Project end date
- 2016-09-06
- Project duration
- 48 months (the same as in the proposal)
- Project status
- Project settled
Equipment purchased [PL]
- Czytnik tekstów Kindle. Cost: 549 PLN
- Komputer stacjonarny typu "desktop" z monitorem i drukarką. Cost: 4 000 PLN
- Komputery przenośne (,,notebooki'') oraz elektroniczne urządzenie do czytania książek i czasopism (3 pcs). Cost: 14 000 PLN
- Licencja na pakiet do obliczeń numerycznych i symbolicznych ,,Mathematica Standard 10.4. Cost: 1 930 PLN
Information in the final report
Publication in academic press/journals (13)
-
Geometric structure of the arrival time operator
- Authors:
- Jerzy Kijowski
- Academic press:
- International Journal of Geometric Methods in Modern Physics (year: 2014, volume: 11, pages: 1460021 (8 pages)), Publisher: World Scientific Publishing Company
- Status:
- Published
- DOI:
- 10.1142/S0219887814600214 – link to the publication
-
On differentiability of volume time functions
- Authors:
- P.T. Chruściel, J. Grant, E. Minguzzi
- Academic press:
- Annales Henri Poincaré (year: 2016, volume: 17, pages: 2801–2824), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s00023-015-0448-3 – link to the publication
-
Space-time diagrammatics
- Authors:
- Piotr T. Chruściel; Christa R. Ölz; Sebastian J. Szybka
- Academic press:
- PHYSICAL REVIEW D (year: 2012, volume: 86, pages: 124041-1 124041-20), Publisher: American Physical Society
- Status:
- Published
- DOI:
- 10.1103/PhysRevD.86.124041 – link to the publication
-
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 (year: 2015, volume: 32, pages: 035016 (18pp)), Publisher: IOP Publishing
- Status:
- Published
- DOI:
- 10.1088/0264-9381/32/3/035016 – link to the publication
-
Symplectic structures related with higher order variational problems
- Authors:
- Jerzy Kijowski; Giovanni Moreno
- Academic press:
- International Journal of Geometric Methods in Modern Physics (year: 2015, volume: 12, pages: 1550084 (45 pages)), Publisher: World Scientific Publishing Company
- Status:
- Published
- DOI:
- 10.1142/S021988781550084X – link to the publication
-
Vacuum spacetimes with controlled singularities and without symmetries
- Authors:
- P. T. Chruściel, P. Klinger
- Academic press:
- PHYSICAL REVIEW D (year: 2015, volume: 92, pages: 041501-1), Publisher: APS
- Status:
- Published
- DOI:
- 10.1103/PhysRevD.92.041501 – link to the publication
-
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 (year: 2015, volume: 92, pages: 084030-1 084030-30), Publisher: APS
- Status:
- Published
- DOI:
- 10.1103/PhysRevD.92.084030 – link to the publication
-
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 (year: 2016, volume: 44, pages: 231 -- 249), Publisher: Springer
- Status:
- Published
- DOI:
- 10.1007/s10013-016-0185-z – link to the publication
-
Universality of the Einstein theory of gravitation
- Authors:
- Jerzy Kijowski
- Academic press:
- International Journal of Geometric Methods in Modern Physics (year: 2016, volume: 13, pages: 1640008-1 1640008-20), Publisher: World Scientific Publishing Company
- Status:
- Published
- DOI:
- 10.1142/S0219887816400089 – link to the publication
-
The existence theorem for the general relativistic Cauchy problem on the light-cone
- Authors:
- Piotr T. Chruściel
- Academic press:
- Forum of Mathematics, Sigma (year: 2014, volume: 2, pages: 18264), Publisher: Cambridge University Press
- Status:
- Published
- DOI:
- 10.1017/fms.2013.8 – link to the publication
-
Outer trapped surfaces are dense near MOTSs
- Authors:
- P. Chrusciel, G. Galloway
- Academic press:
- Classical and Quantum Gravity (year: 2014, volume: 31, pages: 045013 (11pp)), Publisher: IOP Publishing
- Status:
- Published
- DOI:
- 10.1088/0264-9381/31/4/045013 – link to the publication
-
Hamiltonian mass of asymptotically Schwarzschild–de Sitter space-times
- Authors:
- P. Chrusciel, J. Jezierski, J. Kijowski
- Academic press:
- Phys. Rev. D (year: 2013, volume: 87, pages: 124015-1 124015-11), Publisher: American Physical Society
- Status:
- Published
- DOI:
- 10.1103/PhysRevD.87.124015 – link to the publication
-
Rigid spheres in Riemannian spaces
- Authors:
- H.-P. Gittel, J. Jezierski, J. Kijowski, S. Łęski
- Academic press:
- Class. Quantum Grav. (year: 2013, volume: 30, pages: 175010 (18pp)), Publisher: IOP Publishing
- Status:
- Published
- DOI:
- 10.1088/0264-9381/30/17/175010 – link to the publication
Book publications / chapters in book publications (2)
-
Proof of positive energy theorem by spacetime foliations
- Authors:
- J. Jezierski, P. Waluk
- Book:
- Banach Center Publications (year: 2016, volume: 110, pages: 46028), Publisher: Institute of Mathematics, Polish Academy of Sciences
- Status:
- Published
-
Wigner Function of a Qubit
- Authors:
- J. Kijowski, P. Waluk, K. Senger
- Book:
- Banach Center Publications (year: 2016, volume: 110, pages: 46031), Publisher: Institute of Mathematic, Polish Academy of Sciences
- Status:
- Published