Semantic Scholar Open Access 2001 5 sitasi

Pair of null gravitating shells III. Algebra of Dirac's observables

I. Kouletsis P. Hájícek

Abstrak

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 of Dirac observables, is computed in the singular double-null Eddington-Finkelstein (DNEF) gauge. The resulting formula shows that the variables conjugate to the Schwarzschild masses of the intershell spacetimes are simple combinations of the values of the DNEF coordinates on these spacetimes at the shells. The formula is valid for any number of in- and out-going shells. After applying it to the two-shell system, the symplectic form is calculated for each component of the physical phase space; regular coordinates are found, defining it as a symplectic manifold. The symplectic transformation between the initial and final values of observables for the shell-crossing case is written down.

Topik & Kata Kunci

Penulis (2)

I

I. Kouletsis

P

P. Hájícek

Format Sitasi

Kouletsis, I., Hájícek, P. (2001). Pair of null gravitating shells III. Algebra of Dirac's observables. https://doi.org/10.1088/0264-9381/19/10/304

Akses Cepat

Lihat di Sumber doi.org/10.1088/0264-9381/19/10/304
Informasi Jurnal
Tahun Terbit
2001
Bahasa
en
Total Sitasi
Sumber Database
Semantic Scholar
DOI
10.1088/0264-9381/19/10/304
Akses
Open Access ✓