Timeline for Trying to get a metric like $ds^2 = -e^{2H_0t} dt^2 + dx^2$ from a higher dimensional Minkowski spacetime
Current License: CC BY-SA 4.0
4 events
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Jun 14, 2023 at 16:06 | comment | added | MikeHelland | Oh, that's not a problem. I was using: $\tau = \frac{1}{H_0} ( e^{H_0t} - 1)$ as the "un-dilated time coordinate." Thanks again. | |
Jun 14, 2023 at 12:47 | comment | added | Andrew | @MikeHelland $T<0$ is also fine. However, the coordinate transformation blows up at $T=0$, so $T=0$ is a kind of horizon these coordinates. Of course there's nothing physically interesting at $T=0$, what is happening is that your clock slows down faster and faster and never reaches $T=0$. | |
Jun 14, 2023 at 1:03 | comment | added | MikeHelland | Thank you! Actually, I was using $T\leq0$, since we're always dealing with the past. Does that have any effect? | |
Jun 14, 2023 at 0:48 | history | answered | Andrew | CC BY-SA 4.0 |