Double null hamiltonian dynamics and the gravitational degrees of freedom
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...
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| Format: | Article |
| Language: | English |
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2011-08-23.
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| Online Access: | Get fulltext |
| LEADER | 01159 am a22001213u 4500 | ||
|---|---|---|---|
| 001 | 204419 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Vickers, J.A. |e author |
| 245 | 0 | 0 | |a Double null hamiltonian dynamics and the gravitational degrees of freedom |
| 260 | |c 2011-08-23. | ||
| 856 | |z Get fulltext |u https://eprints.soton.ac.uk/204419/1/DoubleNull.pdf | ||
| 520 | |a 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. | ||
| 655 | 7 | |a Article | |