caa a22 4500 445386223 CHVBK 20180317143033.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1007/s10714-011-1242-2 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1242-2 Vickers J. School of Mathematics, University of Southampton, SO17 1BJ, Southampton, UK aut Double null hamiltonian dynamics and the gravitational degrees of freedom [Elektronische Daten] [J. Vickers] In this paper we review the Hamiltonian description of General Relativity using a double null foliation. We start by looking at the 2+2 version of geometrodynamics and show the role of the conformal 2-structure of the 2-metric in encoding (through the shear) the 2 gravitational degrees of freedom. In the second part of the paper we consider instead a canonical analysis of a double null 2+2 Hamiltonian description of General Relativity in terms of self-dual 2-forms and the associated SO(3) connection variables. The algebra of first class constraints is obtained and forms a Lie algebra that consists of two constraints that generate diffeomorphisms in the two surface, a constraint that generates diffeomorphisms along the null generators and a constraint that generates self-dual spin and boost transformations. Springer Science+Business Media, LLC, 2011 Null hamiltonian dynamics nationallicence 2+2 Formalism nationallicence Canonical variables nationallicence General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3411-3428 0001-7701 43:12<3411 2011 43 10714 https://doi.org/10.1007/s10714-011-1242-2 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1242-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Vickers J. School of Mathematics, University of Southampton, SO17 1BJ, Southampton, UK aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/12(2011-12-01), 3411-3428 0001-7701 43:12<3411 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer