Bulk entropy in loop quantum gravity. (English) Zbl 1273.83072
Summary: In the framework of loop quantum gravity (LQG), we generalize our previous boundary state counting for black hole entropy [Nucl. Phys., B 741, No. 1-2, 131–161 (2006; Zbl 1214.83019)] to a full bulk state counting. After suitable gauge fixing, we show how to compute the bulk entropy of a bounded region of space (the “black hole”) with fixed boundary conditions. This allows to study in detail the relationship between the entropy and the boundary area and to identify a holographic regime for LQG where the leading order of the entropy scales with the area. In this regime we can fine tune the factor between entropy and area without changing the Immirzi parameter.
MSC:
| 83C45 | Quantization of the gravitational field |
| 83C57 | Black holes |
| 83C27 | Lattice gravity, Regge calculus and other discrete methods in general relativity and gravitational theory |
| 05C90 | Applications of graph theory |
Keywords:
loop quantum gravity; entropy; black hole; holographic principle; spin network coarse-grainingCitations:
Zbl 1214.83019References:
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