Article: "Black Holes" by Chris Impey
Black holes can only be described and understood using Einstein’s theory of relativity, but their existence was hypothesized over 200 years ago. The Reverend John Mitchell, an English amateur astronomer, knew that Newton’s law of gravity predicted that massive and dense objects would have high escape velocities. In 1784, he pointed out that a sufficiently dense object might have an escape velocity faster than light. Since all electromagnetic radiation travels at the speed of light, such an object would be completely dark.
The nature of a black hole can be understood in terms of the idea of escape velocity. Imagine that the Sun has somehow been compressed into a black hole of 1 solar mass. A rocket passing at a great distance would experience the same gravity field as a rocket at a great distance from the Sun. At 1 A.U. from the black hole, for example, the velocity needed to escape into interstellar space would be 42 kilometers per second, the same as the speed needed to leave the Earth's orbit. You can see that the gravity far from a black hole is not very severe. It is not true that a black hole acts like a cosmic "vacuum cleaner," sucking up everything around it. But as we get much closer to the black hole, the escape velocity increases. Larger speeds are needed to escape the stronger and stronger gravity. At a distance of 3 kilometers, the speed needed to escape would be the speed of light. Since we know of nothing that can travel faster than light, nothing can escape this region.
Crush a star like the Sun down to a radius of 3 kilometers and you have a black hole. The imaginary sphere with a radius of 3 kilometers is called the event horizon. Inside this surface, no object, no particle, no information, not even light can escape. Any star that collapses within its event horizon disappears from the universe, betraying its presence only by its gravity.
The theory of general relativity can be used to calculate the effect of the gravity on light rays at different distances from the event horizon. At a large distance from a black hole, light travels away from a light source uniformly in all directions. As the black hole is approached, light passing near the hole will be slightly deflected. Closer to the event horizon, some light rays are deflected by the strong gravity and are captured by the black hole. At a distance of 1.5 times the Schwarzschild radius, half the light escapes. Photons emitted at right angles to the black hole are trapped in circular orbits. These orbits define the photon sphere. At the Schwarzschild radius, the deflection of light is so severe that no light can escape. This defines the event horizon.
Another analogy can be used to convey the extreme space-time curvature caused by black holes. General relativity predicts that any mass will distort the space and time around it. A good analogy for the space curvature in two dimensions is the distortion in a thin rubber sheet. In the absence of any matter, space will be flat and have no curvature. With a mass placed on the sheet, the distortion is large enough to clearly deflect matter and radiation that pass near it. In the extreme case of a black hole, the curvature is complete. We can imagine a piece of space and time being "pinched off" and permanently removed from communication with the rest of the universe.
If you were unfortunate enough to fall into a 1 solar mass black hole, you would be killed by tidal forces long before you reached the event horizon. (Essentially, the difference between the gravity force on your head and that on your feet would rip you apart!) Assuming that somehow you could survive the descent, you would see clocks far from the black hole keeping slower and slower time, until as you neared the event horizon they appeared to stop altogether. Seen from the outside, your clock would appear to slow down as you took an infinite time to reach the event horizon! If you carried a light source with you as you fell into the black hole, a distant observer would see the photons suffer a larger and larger gravitational redshift(to you, the light would stay the same color). The redshift occurs because light loses energy escaping from the intense gravity. Seen from the outside, the photons would be infinitely redshifted to zero energy as you reached the event horizon.
What lies within the event horizon of a black hole? Nobody really knows. The event horizon is not a physical barrier, just an information barrier. Einstein's theory predicts that matter will keep collapsing gravitationally until it has shrunk to a point of zero volume and infinite density! This endpoint is called a singularity and it cannot be adequately described using general relativity. Black holes are not entirely black. In the 1970s, English physicist Stephen Hawking calculated that black holes could create subatomic particles near their event horizons and slowly radiate away their energy, or "evaporate." This so-called Hawking radiation is expected to be dramatic for microscopic black holes, but barely noticeable for solar-sized black holes. Far more important is the fact that any material falling toward the event horizon will be subject to enormous gravitational forces. The friction and heating of material that falls in will be released in the form of X-rays. Therefore, a black hole may be a source of energy due to the death spasms of matter falling into it.
Can we ever hope to detect a black hole? Yes. Outside their event horizons, black holes have gravity fields indistinguishable from those of ordinary stars of the same mass. Thus they can orbit around stars just like planets or binary star companions. If we observed such a star from a distance, we would not see the black hole, but we could see the star's orbital motion and calculate the mass of the unseen companion, just as astronomers routinely do in the case of ordinary faint companions. The result would indicate an unusually high-mass companion for an X-ray source — maybe 5 or 10 solar masses — which is a sign that we are dealing with a black hole candidate.
Author: Chris Impey
Editor/Contributor: Audra Baleisis