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The thermodynamics of isolated horizons in loop quantum gravity
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The statistical mechanical calculation of the thermodynamical properties of non-rotating isolated horizons are studied in the loop quantum gravity framework. By employing the Hawking temperature and horizon mass of isolated horizons as physical inputs, the microcanonical ensemble associated with the system are well established. As a result, the black hole entropy and other thermodynamical quantities can be computed and consistent with well-known Hawking's semiclassical analysis. Moreover, the value of the Immirzi parameter of loop quantum gravity for {higher dimensional case and 4-dimensional U(1) case are} also obtained.
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Evolution of interior entropy of a loop quantum-corrected black hole pierced by a cosmic string
For a large-mass loop-quantum-corrected black hole pierced by a cosmic string, the paper derives the evolution relation between interior entropy and Bekenstein-Hawking entropy and shows the total satisfies the second law.
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