Dynamics of a self gravitating light-like matter shell with spherical symmetry

Details Dynamics of a self gravitating light-like matter shell with spherical symmetry Dynamics of a self gravitating light-like matter shell with spherical symmetry

2008-12-08

arxiv.org/abs/0812.1399v2

Class.Quant.Grav.27:235007,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages

Scientific paper

10.1088/0264-9381/27/23/235007

A novel Hamiltonian description of the dynamics of a spherically symmetric, light-like, self-gravitating shell is presented. It is obtained via the systematic reduction of the phase space with respect to the Gauss-Codazzi constraints, model and rare procedure in the Canonical Gravity. The Hamiltonian of the system (numerically equal to the value of the ADM mass) is explicitly calculated in terms of the gauge-invariant "true degrees of freedom", i.e. as a function on the reduced phase space. A geometric interpretation of the momentum canonically conjugate to the shell's radius is given. Models of matter compatible with the shell dynamics are found. A transformation between the different time parameterizations of the shell is calculated. The presented model may become a new toy model of quantum gravity.

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