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pro vyhledávání: '"Petr Hajicek"'
Autor:
Petr Hajicek, I Kouletsis
Publikováno v:
Classical and Quantum Gravity. 19:2551-2566
The study of the two shell system started in our first paper ``Pair of null gravitating shells I'' (gr-qc/0112060) is continued. An action functional for a single shell due to Louko, Whiting and Friedman is generalized to give appropriate equations o
Autor:
I Kouletsis, Petr Hajicek
Publikováno v:
Classical and Quantum Gravity. 19:2567-2586
The study of the two-shell system started in ``Pair of null gravitating shells I and II'' (gr-qc/0112060--061) is continued. The pull back of the Liouville form to the constraint surface, which contains complete information about the Poisson brackets
Autor:
Claus Kiefer, Petr Hajicek
Publikováno v:
Nuclear Physics B. 603:531-554
A thin shell of light-like dust with its own gravitational field is studied in the special case of spherical symmetry. The action functional for this system due to Louko, Whiting, and Friedman is reduced to Kucha\v{r} form: the new variables are embe
Autor:
Petr Hajicek
Publikováno v:
Nuclear Physics B. 603:555-577
The dynamics of a thin spherically symmetric shell of zero-rest-mass matter in its own gravitational field is studied. A form of action principle is used that enables the reformulation of the dynamics as motion on a fixed background manifold. A self-
Autor:
Petr Hajicek
Publikováno v:
Nuclear Physics B - Proceedings Supplements. 88:114-123
This paper is an extended version of a talk at the conference Constrained Dynamics and Quantum Gravity QG99. It reviews some work on the quantum collapse of the spherically symmetric gravitating thin shell of zero rest mass. Recent results on Kucha\v
Autor:
Jerzy Kijowski, Petr Hajicek
Publikováno v:
Physical Review D. 57:914-935
The barotropic ideal fluid with step and delta-function discontinuities coupled to Einstein's gravity is studied. The discontinuities represent star surfaces and thin shells; only non-intersecting discontinuity hypersurfaces are considered. No symmet
Autor:
Petr Hajicek
Quantum statistical methods that are commonly used for the derivation of classical thermodynamic properties are extended to classical mechanical properties. The usual assumption that every real motion of a classical mechanical system is represented b
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6b970306d538bc6913e70156b5537c4c
Autor:
Petr Hajicek, Jiří Bičák
Publikováno v:
Physical Review D. 56:4706-4719
The dynamics of a spherically symmetric thin shell with arbitrary rest mass and surface tension interacting with a central black hole is studied. A careful investigation of all classical solutions reveals that the value of the radius of the shell and
Autor:
Petr Hajicek
Publikováno v:
Classical and Quantum Gravity. 13:1353-1375
The discussion is limited to first-class parametrized systems, where the definition of time evolution and observables is not trivial, and to finite dimensional systems in order that technicalities do not obscure the conceptual framework. The existenc
Publikováno v:
Journal of Mathematical Physics. 36:4639-4666
The method of group quantization described in the preceeding paper I is extended so that it becomes applicable to some parametrized systems that do not admit a global transversal surface. A simple completely solvable toy system is studied that admits