Title:	Note on the phase space of asymptotically flat gravity in Ashtekar–Barbero variables
Authors:	Campiglia, Miguel
Keywords:	Canonical phase space
Issue Date:	23-Jul-2015
Publisher:	IOP Publishing Ltd.
Citation:	Classical and Quantum Gravity, 2015, Vol.32, p145011
Abstract:	We describe the canonical phase space of asymptotically flat gravity in Ashtekar–Barbero (AB) variables. We show that the Gauss constraint multiplier must fall off slower than previously considered in order to recover ADM phase space. The generators of the asymptotic Poincare group are derived within the AB phase space without reference to the ADM generators. The resulting expressions are shown to agree, modulo Gauss constraint terms, with those obtained from the ADM generators. A payoff of this procedure is a new expression for the generator of asymptotic rotations, which is polynomial in the triad and hence better suited for quantum theory. Our treatment complements an earlier description by Thiemann in the context of self-dual variables.
Description:	Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations)
URI:	http://hdl.handle.net/2289/6353
ISSN:	0264-9381 1361-6382 (E)
Alternative Location:	http://arxiv.org/abs/1412.5531 http://dx.doi.org/10.1088/0264-9381/32/14/145011 http://adsabs.harvard.edu/abs/2015CQGra..32n5011C
Copyright:	2015 IOP Publishing Ltd.
Appears in Collections:	Research Papers (TP)

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