The river model of black holes
@article{Hamilton2004TheRM, title={The river model of black holes}, author={Andrew J. S. Hamilton and Jason Paul Lisle}, journal={American Journal of Physics}, year={2004}, 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…
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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. 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…
Heuristic approach to the Schwarzschild geometry
- Physics
- 2005
In this article I present a simple Newtonian heuristic for motivating a weak-field approximation for the spacetime geometry of a point particle. The heuristic is based on Newtonian gravity, the…
RELATIVISTIC EQUATIONS FOR ADIABATIC, SPHERICALLY SYMMETRIC GRAVITATIONAL COLLAPSE
- Physics
- 1964
The Einstein equations for a spherically symmetrical distribution of matter are studied. The matter is described by the stress-energy tensor of an ideal fluid (heat flow and radiation are therefore…