Thursday, December 23, 2004

River Model and Reviews

Recent readings include:
The river model of black holes. By Andrew Hamilton and Jason Lisle.
They review how one can rewrite the Schwartzchild metric to represent a river of space flowing through a "flat" background. The points of the paper are: it is a good model to explain black holes to non-expert and it can be generalized to include rotating/charged black holes.

In this model space is basically flowing into the black hole like a river. At the event horizon it flows at the speed of light, the photons are like fishes which cant swim faster than c. (There's even a picture fishes swimming upstream.)

Unrecognized terms\phrases included.
  • Kerr-Newman geometry does not admit conformally flat slices
  • ADM formalism
  • tetrad
  • Doran-Cartesian coordinates
  • Jacobi Identity
  • vierbein
The Kerr metric and the ADM formalism I was able to remind myself about from past GR studies. Still not exactly sure what the difference between a tetrad and a coordinate system is. Googling Doran-Cartesian coordinates gets only this paper back again. According to the references Doran was one of the first river type metric for a black hole guy. I looked up the Jacobi identity but already forgot. Vierbein in context appears to be some kind of transform, between the normal metric and the Doran-Cartesian(?) river metric. It is also German for four legs/legged.

Comments: I cant resist wondering where the space is going? Is it being dissipated inside the black hole? Is it just building up? Is it just taking the analogy too far?

Also read.

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