Publications

Total number: about 50.

Selected publications

Yang-Mills theory

1. Bifurcation solutions of cylindrically symmetric Yang-Mills equations, J. Phys. 13A, 2609(1980).
   
   
2. The Gribov ambiguities from the bifurcation theory viewpoint, J. Math. Phys. 23, 21(1982).
   
   
3. Hopf bifurcation in Yang-Mills mechanics, J. Math. Phys. 26, 2643(1985) (with Ulrich Kursawe).
   
   
4. Periodic Solutions of Yang-Mills-Dirac Theory, Acta Phys. Pol. B17, 417 - 424(1986).
   
   
5. On classical solutions of nonabelian gauge theories, Acta Phys. Pol. B18, 1017 - 1064(1987).
   
   
6. The absence of small solutions of nonlinear field equations J. Math. Phys. 29, 235(1988).
   
   
7. Trapped surfaces in monopole-like Cauchy data of Einstein-Yang-Mills-Higgs equations, Journal of Mathematical Physics 32, 1791(1990), (with Piotr Koc).
   
   

Cosmic Censorship hypothesis

• Trapped surface conjecture, hoop conjecture

1. Trapped surfaces in spherical stars, Phys. Rev. Lett. 61, 1147 - 1150(1988) (with Piotr Bizoń and Niall O'Murchadha).
   
   Available here in gif format (up to 100kB per page, high resolution pictures): PAGE I PAGE II PAGE III PAGE IV
   
   
2. Trapped surfaces due to concentration of matter in spherically symmetric geometries, Class. Quantum Grav. 6, 961(1989) (with Piotr Bizoń and Niall O'Murchadha).
   
   
3. Condensation of matter and trapped surfaces in ellipsoidal stars, Phys. Rev. D40, 2559(1989), (with Piotr Bizoń).
   
   
4. Hoop Conjecture and Trapped Surfaces in Nonspherical Massive Systems, Phys. Rev. Lett. 67, 949 - 952(1991).
   Available here as Postscript file, size 80kB
   
   
5. Trapped surfaces in nonspherical open universes, Acta Phys. Pol. B23, 123(1992) (with Piotr Koc).
   
   
6. Isoperimetric inequalities in the physics of black holes, a review, Acta Phys. Pol. B22, 829 - 858(1991).
   Available here as Postscript file (isoperym.ps), size less than 200kB
   
   
7. Trapped Surfaces in Expanding Open Universes, Rapid Communication in Phys. Rev. D45, R1836 - 1839(1992). (with Uwe Brauer)
   
   
8. Hoop conjecture in nonspherical self-gravitating systems, Modern Physics Letters A7, 1679 - 1690(1992).
   Available here as Postscript file (hoop1.ps), size 100kB
   
   
9. Optical scalars and singularity avoidance in spherical geometries, Phys. Rev D50, R6033 - 6036(1994) (with Niall O' Murchadha).
   
   
10. Trapped surfaces in cosmological spacetimes, with Niall O'Murchadha, Phys. Rev. D54, 4799-4804(1996).
    
    

• Binding energy

1. Binding energy for spherical stars, Classical and Quantum Gravity 7, 1953(1990) (with Piotr Bizoń and Niall O' Murchadha).
   
   
2. Binding energy for charged spherical bodies, Classical and Quantum Gravity, 7, L199 - 201(1990) (with Piotr Koc).
   
   

• Penrose inequality

1. The Penrose inequality in spheroidal geometries, Class. Quantum Gravity 10, 1361 - 1366(1993) (with Janusz Karkowski and Zdobyslaw Świerczyński).
   
   
2. Trapped surfaces and the Penrose inequality in spherically symmetric geometries, Phys. Rev. D49, 6931 - 6934(1994) (with Niall O' Murchadha).
   
   
3. The constant mean curvature slices of asymptotically flat spherical spacetimes, with Mirtha Iriondo and Niall O' Murchadha, Phys. Rev. D54, 4792-4798(1996).
   
   
4. Comment on the Herzlich's proof of the Penrose inequality, with Krzysztof Roszkowski, Acta Physica Polonica B29, 1975(1998).
   Available here as Postscript file (herzlich.ps), size 70kB
   
   
5. On the Penrose Inequality for general horizons with Marc Mars and Walter Simon, Phys. Rev. Lett. 88 (2002), 121102.
   
   

Global evolution

1. Global solutions of a free boundary problem for selfgravitating scalar fields, Classical and Quantum Gravity 13, 1849 - 1869 (1996).
   
   
2. Selfgravitating nonlinear scalar fields, Journal of Mathematical Physics, 38, 3650 - 3668(1997).
   
   

Backscattering

1. Spherical scalar waves and gravity - red shift and backscattering, with Niall O'Murchadha and Tadeusz Chmaj, Classical and Quantum Gravity, 15, 1653-1668(1998).
   
   
2. Backscattering in propagation of sphericallly symmetric massless scalar fields, Proceedings of the Jadwisin workshop in honour of Andrzej Trautman, a special issue of Acta Physica Polonica B29, 937 (1998).
   
   
3. Diffusion of the electromagnetic energy due to the backscattering off Schwarzschild geometry, Physical Review D62, (2000) 084034.
   
   
4. How much of the outgoing radiation can be intercepted by Schwarzschildean black holes?, Acta Physica Polonica B32, 47(2001).
   
   
5. Can Schwarzschildean gravitational fields suppress gravitational waves? (with Gerhard Schaefer), Physical Review D64 (2001), 044012.
   
   
6. Schwarzschild black holes and propagation of electromagnetic and gravitational waves}, (with Janusz Karkowski and Zdobyslaw Swierczynski), Acta Physica Polonica B32, 3593(2001).
   
   
7. Backscattering of electromagnetic and gravitational waves off Schwarzschild geometry (with Janusz Karkowski and Zdobyslaw Swierczynski ), Classical and Quantum Gravity 19, 953(2002).
   
   

Other topics

1. Is the universe open or closed, Acta Cosmologica XIX, 93 - 96(1993) (with Niall O'Murchadha).
   
   
2. Fluid accretion onto a spherical black hole: relativistic description versus Bondi model, Physical Review D60 (1999), 104043.
   
   
3. Schwarzschild horizon and the gravitational redshift formula, Classical and Quantum Gravity 19, 571(2002).
   
   

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Latest changes: 05.03.2002