# The river model of black holes

@article{Hamilton2008TheRM, title={The river model of black holes}, author={Andrew J. S. Hamilton and Jason Paul Lisle}, journal={American Journal of Physics}, year={2008}, volume={76}, pages={519-532} }

We present a lesser known way to conceptualize stationary black holes, which we call the river model. In this model, space flows like a river through a flat background, while objects move through the river according to the rules of special relativity. In a spherical black hole, the river of space falls into the black hole at the Newtonian escape velocity, hitting the speed of light at the horizon. Inside the horizon, the river flows inward faster than light, carrying everything with it. The…

## 86 Citations

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## References

SHOWING 1-10 OF 55 REFERENCES

### Black Holes: The Membrane Paradigm

- Physics
- 1986

The physics of black holes is explored in terms of a membrane paradigm which treats the event horizon as a two-dimensional membrane embedded in three-dimensional space. A 3+1 formalism is used to…

### Internal structure of black holes.

- PhysicsPhysical review. D, Particles and fields
- 1990

The gravitational effects associated with the radiative tail produced by a gravitational collapse with rotation are investigated. It is shown that the infinite blueshift of the tail's energy density…

### Inside charged black holes. II. Baryons plus dark matter

- Physics
- 2005

This is the second of two companion papers on the interior structure of self-similar accreting charged black holes. In the first paper, the black hole was allowed to accrete only a single fluid of…

### Inside charged black holes. I. Baryons

- Physics
- 2005

An extensive investigation is made of the interior structure of self-similar accreting charged black holes. In this, the first of two papers, the black hole is assumed to accrete a charged,…

### Acoustic black holes: horizons, ergospheres and Hawking radiation

- Physics
- 1998

It is a deceptively simple question to ask how acoustic disturbances propagate in a non-homogeneous flowing fluid. Subject to suitable restrictions, this question can be answered by invoking the…

### The Large Scale Structure of Space-Time

- Physics
- 1973

The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.

### Vortex analogue for the equatorial geometry of the Kerr black hole

- Physics
- 2004

The spacetime geometry on the equatorial slice through a Kerr black hole is formally equivalent to the geometry felt by phonons entrained in a rotating fluid vortex. We analyse this example of…

### Exploring black holes : introduction to general relativity

- Physics
- 2000

1. Speeding (Review of Special Relativity). 2. Curving (Spacetime Near a Non-Rotating Black Hole). Project A: The Global Positioning System. 3. Plunging (Diving Toward a Black Hole). Project B:…

### Light cones inside the Schwarzschild radius

- Physics
- 1995

Novikov has developed a reference system built around radially moving geodesic clocks that allows particle and light signal trajectories to be followed across the Schwarzschild radius Rs. We utilize…