4 problems

Consider a system of energy $E$ and size $R$ falling into a black hole, and let $\Delta S_{BH}$ be the resulting change in black-hole entropy. Bekenstein bound conjecture. The seco…

Let $S=A/(4G\hbar)$ be the Bekenstein–Hawking entropy of a black hole with mass $M$ and horizon area $A$. Entropy–mass bound conjecture. The entropy should satisfy … with equality…

Let $M$ be a spacetime, let $g \in [\mathrm{Lor}(M)/\mathrm{Diff}^{+}(M)]$ be an asymptotically flat and stationary black-hole solution, and let $\mathscr{E}_g$ be the differential…

A subextremal black hole is a black hole that is not extremal. The third law of black hole thermodynamics. A subextremal black hole cannot become extremal in finite time by any con…