Recent preprints:

Gauge invariant description of weak gravitational field on a spherically symmetric background with cosmological constant

Authors: Jacek Jezierski, Piotr Waluk
Comments: LaTeX 2e, 34 pages
Source: ArXiv
Journal-ref: Classical and Quantum Gravity

Charges of the gravitational field and (3+1) decomposition of CYK tensors part 2

Authors: Jacek Jezierski, Szymon Migacz
Comments: LaTeX 2e, 51 pages
Source: ArXiv
Journal-ref:

Simple description of generalized electromagnetic and gravitational hopfions

Authors: Jacek Jezierski, Tomasz Smołka
Comments: LaTeX 2e, 27 pages
Source: ArXiv
Journal-ref: Classical and Quantum Gravity

Conformal Yano-Killing tensors for space-times with cosmological constant

Authors: Paweł Czajka, Jacek Jezierski
Comments: LaTeX 2e, 27 pages
Source: ArXiv
Journal-ref: Acta Physica Polonica B

Hamiltonian dynamics in the space of asymptotically Kerr-de Sitter spacetimes

Authors: Piotr T Chrusciel, Jacek Jezierski, Jerzy Kijowski
Comments: revtex, 39 pages
Source: PDF
Journal-ref: Physical Review D

On the existence of rigid spheres in four-dimensional spacetime manifolds

Authors: Hans-Peter Gittel, Jacek Jezierski, Jerzy Kijowski
Comments: LaTeX 2e, 26 pages
Source: ArXiv
Journal-ref: Vietnam Journal of Mathematics

A geometric description of Maxwell field in a Kerr spacetime

Authors: Jacek Jezierski, Tomasz Smołka
Comments: LaTeX 2e, 13 pages
Source: ArXiv
Journal-ref: Classical and Quantum Gravity

The 3+1 decomposition of Conformal Yano-Killing tensors and "momentary" charges for spin-2 field

Authors: Jacek Jezierski, Szymon Migacz
Comments: LaTeX 2e, 17 pages
Source: ArXiv
Journal-ref: Classical and Quantum Gravity

The Hamiltonian mass of asymptotically Schwarzschild-de Sitter spacetimes

Authors: Piotr T Chrusciel, Jacek Jezierski, Jerzy Kijowski
Comments: LaTeX 2e, 23 pages
Source: PDF
Journal-ref: Physical Review D

Rigid spheres in Riemannian spaces

Authors: Hans-Peter Gittel, Jacek Jezierski, Jerzy Kijowski, Szymon Leski
Comments: LaTeX 2e, 22 pages
Source: ArXiv
Journal-ref: Classical and Quantum Gravity

Towards uniqueness of degenerate axially symmetric killing horizon

Authors: Jacek Jezierski, Bartek Kaminski
Comments: LaTeX 2e, 17 pages
Source: ArXiv
Journal-ref: General Relativity and Gravitation DOI 10.1007/s10714-013-1506-0

On free general relativistic initial data on the light cone

Authors: Piotr T. Chrusciel, Jacek Jezierski
Comments: LaTeX 2e, 28 pages
Source: ArXiv
Journal-ref: Journal of Geometry and Physics 62 (2012) 578-593

Preprints 2007-2009:

On the existence of Kundt's metrics with compact sections of null hypersurfaces

Authors: Jacek Jezierski
Comments: LaTeX 2e, 11 pages
Source: ArXiv
Journal-ref: Class. Quantum Grav. 26 (2009) 035011 (11pp)

Ground state of the two black holes system

Authors: Jacek Jezierski, Jerzy Kijowski, Szymon Łęski
Comments: LaTeX 2e, 18 pages
Source: ArXiv
Journal-ref: ? (2008)

Energy-minimizing two black holes initial data

Authors: Jacek Jezierski, Jerzy Kijowski, Szymon Łęski
Comments: LaTeX 2e, 26 pages
Source: ArXiv
Journal-ref: PHYSICAL REVIEW D 76, 024014 (2007)

Asymptotic conformal Yano-Killing tensors for asymptotic anti-de Sitter spacetimes and conserved quantities

Author: Jacek Jezierski
Comments: LaTeX 2e, 40 pages
Source: ArXiv
Journal-ref: Acta Physica Polonica B 39 (2008)

Conformal Yano-Killing tensors for the Taub-NUT metric

Authors: Jacek Jezierski, Maciej Łukasik
Comments: LaTeX 2e, 12 pages
Source: gr-qc/0610090
Journal-ref:  Class. Quantum Grav. 24 (2007) 1331--1340

Preprints 2005:

Boundary data in canonical gravity and thermodynamics of black holes

Authors: Ewa Czuchry, Jacek Jezierski, Jerzy Kijowski
Comments: LaTeX 2e, 17 pages
Source: PDF
Journal-ref: Nuovo Cimento B, Volume 119 Issue 07-09, pp 733-748 (2004)

Conformal Yano-Killing tensor for the Kerr metric and conserved quantities

Authors: Jacek Jezierski, Maciej Lukasik
Comments: LaTeX 2e, 31 pages
Source: gr-qc/0510058
Journal-ref:  CQG 23 (2006) 2895-2918

Preprints 2004:

Dynamics of gravitational field within a wave
front and thermodynamics of black holes

Authors: Ewa Czuchry, Jacek Jezierski, Jerzy Kijowski
Comments: LaTeX 2e, 14 pages
Source: gr-qc/0412042
Journal-ref: PRD 70 (2004) 124010

Unconstrained degrees of freedom for gravitational waves,
 $\beta$--foliations and spherically symmetric initial data

Authors: Jerzy Kijowski, Jacek Jezierski
Comments: LaTeX 2e, 10 pages
Source: PDF
Journal-ref:  Preprint ESI 1552 (2004)

Preprints 2003:

The Trautman-Bondi mass of hyperboloidal initial data sets

Authors: Piotr T. Chrusciel, Jacek Jezierski, Szymon Leski
Comments: LaTeX 2e, 51 pages
Source: gr-qc/0307109
Journal-ref: Adv. Theor. Math. Phys. 1 (2004) 83-139

Spacetimes foliated by Killing horizons

Authors: Tomasz Pawlowski, Jerzy Lewandowski, Jacek Jezierski
Comments: LaTeX 2e, 13 pages
Source: gr-qc/0306107
Journal-ref: CQG 21 (2004) 1237-1251

Geometry of null hypersurfaces

Authors: Jacek Jezierski
Comments: LaTeX 2e, 10 pages
Source: PDF
Journal-ref: in RELATIVITY TODAY, Proceedings of VII-th Hungarian Relativity Workshop

Local approach to thermodynamics of black holes

Authors: Ewa Czuchry, Jacek Jezierski, Jerzy Kijowski
Comments: LaTeX 2e, 10 pages
Source: PDF
Journal-ref: Proceedings of VII-th Hungarian Relativity Workshop

Preprints 2002:

Geometry of crossing null shells

Authors: Jacek Jezierski
Comments: 21 pages
Source: PS
Journal-ref: Journal of Mathematical Physics 44 (2003) 641-661

CYK Tensors, Maxwell Field and Conserved Quantities for Spin-2 Field

Authors: Jacek Jezierski
Comments: 25 pages
Source: PDF
Journal-ref: Classical and Quantum Gravity 19 (2002) 4405-4429

Preprints 2001:

Dynamics of a self gravitating light-like matter shell:
a gauge-invariant Lagrangian and Hamiltonian description

Authors: Jacek Jezierski, Jerzy Kijowski, Ewa Czuchry
Comments: 20 pages, RevTeX4, no figures
Journal-ref: Physical Review D 65 (2002), 064036

"Peeling property" for linearized gravity in null coordinates

Authors: Jacek Jezierski
Comments: 27 pages
Report-no: 20/2001, CNRS UMR 6083
Journal-ref: Classical and Quantum Gravity 19 (2002) 2463--2490

Preprints 2000:

Geometry of null-like surfaces in General Relativity
and its application to dynamics of gravitating matter

Authors: Jacek Jezierski, Jerzy Kijowski, Ewa Czuchry
Source: PDF
Journal-ref: Reports on Mathematical Physics 46 (2000) 399-418

A Hamiltonian framework for field theories in the radiating regime

Authors: Piotr Chrusciel, Jacek Jezierski, Jerzy Kijowski
Source: http://www.phys.univ-tours.fr/~piotr/papers/hamiltonian_structure/
Journal-ref: Lecture Notes in Physics m70, Springer-Verlag (2002)

Preprints 1999:

TRAUTMAN-BONDI MASS FOR SCALAR FIELD AND GRAVITY

Authors: Jacek Jezierski
Comments: 14 pages, LaTeX
Journal-ref: Warsaw University Press (2001) 165-180
Source: PDF

Trautman-Bondi mass and angular momentum for scalar field and gravity

Journal-ref: Ann. Phys. (Leipzig) 9 (2000) Spec. Issue, SI-92--SI-94
Source: PDF

Preprints 1998:

Uniqueness of the Trautman--Bondi mass

Authors: Piotr T. Chrusciel, Jacek Jezierski, Malcolm A.H. MacCallum
Comments: latex, 33 pages
Journal-ref: Phys.Rev. D58 (1998) 084001
Source: PDF

Uniqueness of the mass in the radiating regime

Authors: Piotr T. Chrusciel, Jacek Jezierski, Malcolm A.H. MacCallum
Comments: 8 pages, revtex
Journal-ref: Phys.Rev.Lett. 80 (1998) 5052-5055
Source: PS

Energy and angular momentum of the weak gravitational waves on the
Schwarzschild background -- quasilocal gauge-invariant formulation

Authors: Jacek Jezierski
Comments: 25 pages
Journal-ref: Gen. Rel. & Grav. 31 (1999) 1855-1890
Source: PDF

Bondi mass in classical field theory

Authors: Jacek Jezierski
Comments: 55 pages, LaTeX
Journal-ref: Acta Phys.Polon. B29 (1998) 667-743
Source: PDF