Interactive · general relativity

Black holes & white holes

A black hole is a region where gravity is so strong that not even light can climb out. A white hole is its mirror image in time: a region nothing can ever enter. Bend starlight with a black hole, then drop an astronaut in and compare their clock with a friend's who stays safely outside.

Mass

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Event horizon radius

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rs = 2GM/c², not spinning

Horizon → singularity

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maximum time on your own watch

Stretch at the horizon

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head-to-toe pull on a 2 m person

01 · Lens lab

Gravity bends light

Mass curves spacetime, so starlight passing nearby follows a curved path. Drag the black hole across the stars and watch them smear into arcs, and into a full Einstein ring when one lines up exactly behind it.

Drag the black hole · arrow keys work too

Mass

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Spin a

0
Event horizon
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radius
Shadow
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width as seen edge-on
Photon orbit
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light circles here
Last stable orbit
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disk inner edge (ISCO)
Ergosphere
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Disk efficiency
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of infalling mass → light
Avg. density
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Hawking temp.
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Change the mass and the picture stays the same. Every black hole has the same shape; only the scale bar changes. A black hole is fully described by its mass, spin and charge, and nothing else. Turn up the spin: the horizon shrinks, the disk creeps inward, and the shadow flattens on the side moving toward you.

02 · Fall in

What happens if someone falls in?

An astronaut drops from rest. Their own watch and a distant friend's watch disagree, and near the horizon they disagree completely. Switch views and press play.

Distance from centre vs time

Your watch Friend's watch Event horizon

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Start distance

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Mass

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Distance
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Stretch
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Your watch
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Friend's watch
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Light you send home is stretched ×
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redshift 1+z: your friend sees you dimmer and redder
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03 · The journey

Six stops on a one-way trip

Two stories of the same fall, for a big, gentle supermassive black hole. For a small stellar one the trip ends much earlier (stop 2).

01far away

Approach

You feelNothing at all. In free fall you are weightless. The black hole pulls on you exactly like a star of the same mass would.
Friend seesA normal fall. The sky around the black hole looks warped, with a dark shadow ringed by bent starlight.
02tidal zone

Spaghettification

You feelYour feet are pulled harder than your head. Near a 10 M☉ black hole this stretch exceeds 100 g almost 2,000 km out: you are pulled into a thin stream of atoms. Near Sgr A* you feel nothing yet.
Friend seesFor a small black hole: a flash as you are torn apart, heated, and swirled into the disk.
033 rs

Last stable orbit

You feelBelow here no orbit is stable. Without a strong rocket, everything spirals in. This is the inner edge of every accretion disk.
Friend seesYour clock visibly ticking slower, and your light turning redder.
041.5 rs

Photon sphere

You feelLight itself can circle the hole here. Look sideways and you could see light that has gone all the way round. The whole sky squeezes into a shrinking bright patch above you.
Friend seesYou crawling, dimming, reddening.
051 rs

The event horizon

You feelNothing special: no wall, no flash. You cross it in a moment of your own time. But no signal you send can ever get out again.
Friend seesNever sees you cross. Your image freezes just outside the horizon and fades to black as its light is stretched to infinitely long wavelengths.
06r → 0

The singularity

You feelInside, the centre is no longer a place but a moment in your future, as unavoidable as tomorrow. Tides grow without limit. For Sgr A* you have about a minute.
Friend seesNothing. Only the black hole's mass grows a little: yours.

04 · Learn

White holes, maps & maths

Where black holes come from

When a star more than about 20 times the Sun's mass runs out of fuel, nothing can hold its core up against its own gravity. It collapses past every barrier, through the stage where a neutron star would form, and keeps going. Once the matter is squeezed inside its own Schwarzschild radius, rs = 2GM/c², even light moving outward is dragged back. That boundary is the event horizon.

Supermassive black holes, millions to billions of Suns, sit at the centres of galaxies. Ours is Sagittarius A*, 4.3 million solar masses, 26,000 light-years away. How they grew so big so early is still an open question.

A black hole is not a hole in the ground and not a cosmic vacuum cleaner. Far from the horizon its gravity is exactly that of any object with the same mass. It only becomes extreme close up, because the mass is packed into such a small region.

How we know they are real

Stars whipping around Sgr A* on tight orbits (Nobel Prize 2020). Gravitational waves from merging black holes, detected by LIGO since 2015 (Nobel Prize 2017). And direct images of the shadow of M87* (2019) and Sgr A* (2022) by the Event Horizon Telescope, a radio telescope the size of Earth.

Spinning black holes

Real black holes spin, because the stars they formed from were spinning. A spinning (Kerr) black hole drags space round with it. Inside the ergosphere nothing can stand still, not even with infinitely powerful rockets; everything is swept along with the rotation. Spin also lets matter orbit closer before plunging in, so a fast-spinning black hole's disk can turn up to about 32% of the infalling mass into light, against 6% for a non-spinning one. Nuclear fusion manages just 0.7%. Try the spin slider in the lens lab.

Try this

01In the lens lab, drag the black hole slowly over a bright star. Watch for two images, and for the ring when it lines up exactly behind.
02Pick the 10 M☉ preset and drop the astronaut. Watch the stretch readout. Now pick Sgr A* and drop again.
03Switch to the friend's view. Does the astronaut ever reach the dashed horizon line in the chart?
04Open the spacetime map and click the white hole region. Why can't anything get in?