Entropy-Area Law from Interior Semi-classical Degrees of Freedom

by Yuki Yokokura (RIKEN)

281 (Dipartimento di Fisica )


Dipartimento di Fisica


We consider a spherical static gravitational bound state consisting of many semi-classical degrees of freedom that exist uniformly inside and have maximum gravity, and study the entropy including the self-gravity in the semi-classical Einstein equation. We construct the self-consistent interior metric such that the entropy follows the Bekenstein-Hawking formula exactly for any degree of freedom. The interior is a dense configuration without horizon or singularity and behaves like a local thermal state. Here, the self-gravity plays an essential role in changing the entropy from the volume law to the area law. [arXiv:2207.14274]