Self-Gravity and Bekenstein-Hawking Entropy

Understand

We study the effect of self-gravity on entropy by directly solving the 4D semi-classical Einstein equation.

• In particular, we focus on whether the Bekenstein-Hawking formula holds when self-gravity is extremely strong.
• As an example, we consider a simple spherically symmetric static configuration consisting of many quanta and construct a self-consistent non-perturbative solution for $\hbar$ in which the entropy exactly follows the area law for many local degrees of freedom of any kind.
• This can be a candidate for black holes in quantum theory.