Permalink Submitted by Anonymous on August 21, 2016

The entropy of a black hole is proportional to its area, which is non-decreasing in general relativity, in accordance to the second law of thermodynamics, so there is no violation to the arrow of time. If Hawking radiation is considered, the radiation carries entropy too, and the total entropy of the system (black hole + radiation) is always increasing. So again there is no violation to the second law.

## The entropy of a black hole

The entropy of a black hole is proportional to its area, which is non-decreasing in general relativity, in accordance to the second law of thermodynamics, so there is no violation to the arrow of time. If Hawking radiation is considered, the radiation carries entropy too, and the total entropy of the system (black hole + radiation) is always increasing. So again there is no violation to the second law.