This is a continuation of the previous post, namely, "Black holes and dark energy":
In the equation posted in the last post, there was a relation between the cosmological constant, the stress-energy tensor and the metric tensor.
After modifying the equation or manipulating them, I got a relation between the Hawking-Bekenstein entropy of a black hole, the stress-energy tensor and the metric tensor.
The interesting conclusion that can be derived from analyzing the equation is "Change in dark energy is a measure of the change in entropy".
Analyzing even further, we see that the results conform to the fact that information is conserved in form of dark energy as the black hole evaporates.
Dark energy is a term physicists use to describe a peculiar kind of energy that appears to permeate the entire universe. It expands the fabric of spacetime itself, even as gravity attempts to bring objects closer together. ... Without a singularity in spacetime, there is no black hole
"change in entropy corresponds to change in dark energy"
means as entropy increases so does dark energy?
The statement "change in entropy corresponds to change in dark energy" is meant to say that change of entropy of a black hole (not the universe as a whole) is a measure in the change of dark energy in the region surrounding the black hole.
Actually, the reverse happens. As entropy decreases, dark energy increases but doesn't imply that as entropy increases, so does dark energy.
I should have been more careful about the writing. Sorry for that.
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