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Unpolarized radiative cylindrical spacetimes: Trapped surfaces and quasilocal energy | | Sergio M. C. V. Goncalves
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30 Dec 2002 | | Journal: | Class.Quant.Grav. 20 (2003) 37-49 | | Subject: | gr-qc | | Abstract: | We consider the most general vacuum cylindrical spacetimes, which are defined by two global, spacelike, commuting, non-hypersurface-orthogonal Killing vector fields. The cylindrical waves in such spacetimes contain both + and $ imes$ polarizations, and are thus said to be unpolarized. We show that there are no trapped cylinders in the spacetime, and present a formal derivation of Thorne’s C-energy, based on a Hamiltonian reduction approach. Using the Brown-York quasilocal energy prescription, we compute the actual physical energy (per unit Killing length) of the system, which corresponds to the value of the Hamiltonian that generates unit proper-time translations orthogonal to a given fixed spatial boundary. The C-energy turns out to be a monotonic non-polynomial function of the Brown-York quasilocal energy. Finally, we show that the Brown-York energy at spatial infinity is related to an asymptotic deficit angle in exactly the same manner as the specific mass of a straight cosmic string is to the former. | | Source: | arXiv, gr-qc/0212125 | | Services: | Forum | Review | PDF | Favorites | |
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