Sahlmann H, Pranzetti D (2015)
Publication Status: Published
Publication Type: Journal article, Original article
Publication year: 2015
Publisher: Elsevier
Book Volume: 746
Pages Range: 209-216
DOI: 10.1016/j.physletb.2015.04.070
We show that the spherically symmetric isolated horizon can be described in terms of an SU(2) connection and an su(2)-valued one-form, obeying certain constraints. The horizon symplectic structure is precisely the one of 3d gravity in a first order formulation. We quantize the horizon degrees of freedom in the framework of loop quantum gravity, with methods recently developed for 3d gravity with non-vanishing cosmological constant. Bulk excitations ending on the horizon act very similarly to particles in 3d gravity. The Bekenstein-Hawking law is recovered in the limit of imaginary Barbero-Immirzi parameter. Alternative methods of quantization are also discussed.
APA:
Sahlmann, H., & Pranzetti, D. (2015). Horizon entropy with loop quantum gravity methods. Physics Letters B, 746, 209-216. https://dx.doi.org/10.1016/j.physletb.2015.04.070
MLA:
Sahlmann, Hanno, and Daniele Pranzetti. "Horizon entropy with loop quantum gravity methods." Physics Letters B 746 (2015): 209-216.
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