Timeline for Volume growth of black hole interior
Current License: CC BY-SA 4.0
7 events
| when toggle format | what | by | license | comment | |
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| Feb 22, 2022 at 12:40 | history | edited | Dhuality | CC BY-SA 4.0 |
Changed the "growth rate of complexity" to "growth rate of volume" as I had assumed C=V unnecessarily.
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| Oct 12, 2020 at 13:45 | comment | added | Dhuality | @thunderbolt, thanks for pointing that out. I've updated the solution to include volume growth rate. The time signature surprisingly doesn't make a difference but I'll leave this as homework for you! (Here's a hint, use the chain rule; ${dV}/{dr} =( {dV}/{dt_E})({dt_E}/{dr}) = ({dV}/{dt_M})({dt_M}/{dr})$. You'll find that the i cancels everywhere once you integrate appropriatly.) | |
| Oct 12, 2020 at 13:37 | history | edited | Dhuality | CC BY-SA 4.0 |
Clarified the volume growth being constant.
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| Oct 12, 2020 at 6:24 | comment | added | thunderbolt | I have another naive question about this calculation: would the equation being about growth in $\textit{Euclidean time}$ make a difference? It would give an extra factor of $\textit{i}$ making the growth rate imaginary, right? | |
| Oct 12, 2020 at 5:55 | vote | accept | thunderbolt | ||
| Oct 12, 2020 at 5:55 | comment | added | thunderbolt | I'm sorry for the late comment; just now got the time to look at this. This was quite helpful. I think you mean to say "$\textit{volume}$ growth rate is constant" (of course your statement can be made by assuming the C=V conjecture, but I was looking for a pure GR answer to go towards the conjecture). Also, the assumption of volume growth being constant is fair (arxiv.org/abs/1411.2854). | |
| Oct 2, 2020 at 16:30 | history | answered | Dhuality | CC BY-SA 4.0 |