Entropy of Self-Gravitating Systems from Holst's Lagrangian

Details Entropy of Self-Gravitating Systems from Holst's Lagrangian Entropy of Self-Gravitating Systems from Holst's Lagrangian

2008-08-28

arxiv.org/abs/0808.3845v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, no figures; just acknowledgments changed

Scientific paper

We shall prove here that conservation laws from Holst's Lagrangian, often used in LQG, do not agree with the corresponding conservation laws in standard GR. Nevertheless, these differences vanish on-shell, i.e. along solutions, so that they eventually define the same classical conserved quantities. Accordingly, they define in particular the same entropy of solutions, and the standard law S=A/4 is reproduced for systems described by Holst's Lagragian. This provides the classical support to the computation usually done in LQG for the entropy of black holes which is in turn used to fix the Barbero-Immirzi parameter.

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