concept

apparent horizon

A boundary of a black hole that depends on the observer and responds to changes in mass, unlike the event horizon.
79 related articles

Description

An apparent horizon is a boundary in a black hole spacetime that is defined locally, based on the behavior of outgoing light rays at a given moment. Unlike the event horizon, which is a global concept requiring knowledge of the entire future of the universe, the apparent horizon depends on the observer's choice of time slicing and can change in response to matter falling into the black hole. It is the outermost surface where all outgoing light rays are converging, meaning even light cannot escape outward.

History

The concept was introduced by Roger Penrose in 1965 as part of his work on gravitational collapse and singularity theorems. It was later refined by Stephen Hawking and George Ellis in their 1973 book 'The Large Scale Structure of Space-Time'.

How it works

The apparent horizon is defined using the concept of trapped surfaces: a surface where both ingoing and outgoing light rays are moving inward. The apparent horizon is the boundary of the region containing trapped surfaces. It can be computed from the local geometry of spacetime at a given time, making it useful for numerical simulations of black hole mergers, where the event horizon is difficult to track in real time.

In practice

Apparent horizons are routinely used in numerical relativity to locate black holes in simulations of mergers and to compute their masses and spins, as they can be found from the instantaneous data of the simulation.

Fun fact

In a dynamic black hole merger, the apparent horizon can appear and grow before the event horizon forms, and it is always located inside the event horizon, never outside.

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Related articles · 79

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A Puzzle with No Picture on the Box
A network of radio telescopes scattered across the planet catches the whisper of a distant black hole. Each antenna records a signal, but how do you combine these recordings if the clocks at the stations tick at different rates and the atmosphere distorts incoming waves?
General Relativity2026-08-082 minarXiv:2608.08302express
The Universe's Horizon as a Heat Engine
Stare long enough into the night sky, and sooner or later your gaze hits a blackness beyond which nothing is visible. This is not just a distant fence: it is the edge of the universe accessible to us, the cosmic horizon. Light from more distant stars simply hasn't had time to reach us.
General Relativity2026-08-052 minarXiv:2608.05270express
A Bright Spot in a Black Hole's Shadow
A black hole's shadow isn't just a black circle. Usually, we see a dark void surrounded by a glowing ring of hot gas. But if a black hole wasn't born from a dying star but has existed forever, its shadow might hide a surprise. An eternal black hole is a solution to Einstein's equations with no past and no collapse.
High Energy2026-07-312 minarXiv:2607.29121express
A Black Hole's Shadow with a Secret from Other Dimensions
A cosmic object spins, but its shadow isn't round. Astrophysicists examined a black hole in an unusual version of gravity — the so-called brane world (where our universe is a three-dimensional surface in a space of higher dimensions).
General Relativity2026-07-313 minarXiv:2608.00297express
The Universe Isn't Chasing Entropy Records
Imagine a factory capable of producing a million parts per hour, yet it only makes a hundred. That's roughly how our Universe behaves when viewed through the lens of entropy — a measure of disorder that, according to physics, must only increase. The main "machines" of this factory are supermassive black holes.
General Relativity2026-07-302 minarXiv:2607.28249express
Mosaic on the Surface of a Black Hole
A black hole devours everything, even light. Yet it obeys the laws of physics: it possesses entropy — a measure of the hidden information an object 'remembers.' In the 1970s, Jacob Bekenstein and Stephen Hawking discovered a strange pattern: a black hole's entropy grows not with its volume, but…
High Energy2026-07-281 minarXiv:2607.26137express
A Hidden Black Hole Lurks After a Cosmic Meal
In a distant galaxy about 290 million light-years away, the object HLX-1 lies hidden. It once flared brighter than hundreds of billions of suns, but now it has quieted down. From 2018 to 2022, the Hubble, Chandra, and Swift space telescopes tracked its fading.
General Relativity2026-07-231 minarXiv:2607.20945express
A White Hole in the Lens: What the Telescope Will See
A black hole is a place from which nothing can escape. But some theories allow that deep inside, at the quantum level, it might bounce and turn into its opposite — a white hole, which only spews out matter and light. A group of physicists built a computer model of such a transformation.
General Relativity2026-07-192 minarXiv:2607.17367express
Dark Matter Tunes Black Holes Like Quantum Instruments
At the center of many galaxies lurks a black hole, wrapped in an invisible cloud — the halo of dark matter. This is not just a featureless mass: its density changes from the edge to the center, and the degree of this "compression" is called compactness.
Shadow Symphony: How Data Became a Portrait of a Black Hole
In 2019, the world saw the first image of a black hole's shadow — an orange doughnut on a black background, becoming a symbol of scientific progress. But this image wasn't captured by a camera: it was born from mathematical alchemy, where data from eight radio telescopes, which gathered only crumbs of signal, merged into a single picture.
General Relativity2026-07-122 minarXiv:2607.10658express
A Black Hole in Polarized Glasses
A black hole is not just a dark silhouette against the stars. Its shadow is surrounded by a thin glowing ring of photons that loop around the event horizon before escaping to an observer.
General Relativity2026-07-122 minarXiv:2607.10713express
Black Holes Without Singularities: Almost Indistinguishable
An ordinary black hole hides a singularity at its center — a point where density and curvature become infinite and the laws of physics break down. The authors of the new work built a model of a rotating black hole that, instead of a singularity, contains a calm "core" resembling ordinary flat space.
Galaxies2026-07-083 minarXiv:2607.06902
Black Holes Spin Every Which Way, Ignoring Their Galaxies
For decades astrophysicists painted a neat picture: a galaxy, like a giant carousel, spins in a unified rhythm, and the supermassive black hole at its center inherits that dance.
General Relativity2026-07-021 minarXiv:2607.02631express
How a Quantum “Pillow” Saves a Black Hole from Infinity
At the center of a black hole, classical theory paints a point where density and spacetime curvature shoot to infinity — like an infinitely sharp needle. But quantum corrections, tracing back to the work of Karl Schwarzschild, add a tiny “pillow”: space cannot collapse to zero.
Cosmology2026-06-291 minarXiv:2606.30641express
High Energy2026-06-292 minarXiv:2606.30753express
Shadow and Ring: How to Weigh a Black Hole More Precisely
At the center of galaxy M87, 55 million light-years away, lurks a black hole with a mass of 6.5 billion Suns. In 2019, the Event Horizon Telescope (EHT) gave us its first portrait: an orange donut with a dark core. But the donut is not the abyss itself.
General Relativity2026-06-282 minarXiv:2606.29418express
A Cosmic Lens at the Very Edge of a Black Hole
A cosmic ray approaches a black hole almost tangentially. Instead of falling straight in, it lingers on an unstable orbit, like an acrobat balancing on a tightrope over an abyss. After a few loops, the light finally escapes toward a distant observer. Such rays produce multiple images of the same source, known as higher-order images.
General Relativity2026-06-241 minarXiv:2606.25565express
Sound Horizons in the Darkness of Space
The light of a distant star briefly brightens when a massive invisible object passes between it and a telescope. This phenomenon, gravitational microlensing, acts as a natural telescope. Usually, the lens is a black hole, warping the spacetime around it.
General Relativity2026-06-231 minarXiv:2606.24642express
When a Black Hole Can Split Apart
A black hole is like a spinning drop of viscous liquid. Normally, such a drop tends to stay whole: splitting would reduce its surface area, which contradicts the law of non-decrease of entropy (a measure of disorder, like a broken cup doesn't glue itself back together).
General Relativity2026-06-222 minarXiv:2606.23846express
Black Holes from the Universe's Infancy
It all began not with emptiness, but with a boiling ocean of plasma. In that primordial broth, sound waves raced through the fiery matter, colliding and compressing it. Sometimes a clump grew so dense that light could no longer escape, and right out of the scorching gas, a primordial black hole was born.
General Relativity2026-06-202 minarXiv:2606.22121express
Two Fates of the Horizon: When a Black Hole Stops Breaking
The Schwarzschild black hole is the simplest model in general relativity. But when you switch to teleparallel gravity (TEGR), where torsion replaces curvature, the horizon develops a problem. Some quantities built from torsion tend to infinity.
HEP Theory2026-06-192 minarXiv:2606.21537express
Black Holes with Throats: Where Causality Cracks
In quantum field theory, there is a strict law: a signal cannot outrun light. This is causality — the foundation on which the order of events rests. But near black holes, this foundation begins to crack, especially if the hole is not quite ordinary.
General Relativity2026-06-152 minarXiv:2606.16757express
A Black Hole Grows, and Entropy Keeps Track of Order
A black hole is like a perfect vacuum cleaner: anything that crosses its horizon vanishes without a trace. But this vacuum cleaner has a strange feature: its "dust bag" grows, and by the size of the bag you can tell how much has been sucked in. In black hole physics, this size is linked to entropy entropy — a measure of hidden information about what fell inside.
General Relativity2026-06-142 minarXiv:2606.15727express
A Black Hole's Shadow as a Mirror of Unknown Gravity
A black hole is not just a dark spot in the sky. Its shadow falls on the glowing backdrop of infalling matter and carries the imprint of spacetime geometry itself. If gravity works even slightly differently than we think, the shadow will give it away. In a new study, physicists traced light rays around a rotating black hole in so-called Rastall gravity.
HEP Phenomenology2026-06-112 minarXiv:2606.12775express
Dark Matter from Black Hole Mites
In the kitchen cupboard sits a jar of sugar. If you shake it, the grains will spread almost evenly — no need to place each one with tweezers. In much the same way, tiny black holes could have appeared in the first moments after the Big Bang. Their mass is like that of an asteroid, their size smaller than an atom.
General Relativity2026-06-112 minarXiv:2606.13592express
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You toss pebbles into a whirlpool, trying to spin it faster and peer into its depths. A black hole is a cosmic whirlpool, where instead of water there is curved spacetime, and instead of a bottom there is a singularity — a point where the familiar laws of physics break down.
General Relativity2026-06-091 minarXiv:2606.10792express
A Black Hole from Nothing
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Cosmology2026-06-082 minarXiv:2606.09804express
Black Holes Evaporate, but Gravitational Waves Remember
A black hole is not an eternal vacuum cleaner. Left alone in the void, it slowly disappears, radiating energy like a puddle drying on asphalt. This process, predicted by Stephen Hawking, is called evaporation.
Cosmology2026-06-031 minarXiv:2606.04707express
Cosmology2026-06-023 minarXiv:2606.03414
Phantom Glow: A Wormhole's Shadow Shines Brighter Than a Black Hole's
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General Relativity2026-05-302 minarXiv:2606.00911express
A Black Hole's Temperature Is Born from Geometry
A light ray skims along the horizon of a black hole: that invisible boundary from which nothing can escape. The closer the ray gets to the horizon, the slower its own 'time' stretches — a special measure of path called the affine parameter.
HEP Theory2026-05-281 minarXiv:2605.30411express
Invisible particles turn black holes into cosmic meat grinders
A black hole is like a whirlpool in the ocean: anything that falls in disappears forever. But if the whirlpool spins and carries a slight electric charge, and invisible axion particles (dark matter candidates) are buzzing around it, its surface stops being smooth.
General Relativity2026-05-261 minarXiv:2605.27242express
Light Delay Near Black Holes Will Uncover the Mystery of Dark Matter
The gravity of a black hole creates a curvature of spacetime, acting like a lens: light from a distant galaxy splits in two, stretching into arcs. Dark matter around the hole barely changes the picture, as if a transparent curtain was added to a window pane.
General Relativity2026-05-211 minarXiv:2605.22210express
A Star Dances with Dark Matter Near a Black Hole
At the heart of our stellar metropolis — the Galaxy — lurks the supermassive black hole Sagittarius A*. Around it, star S2 whirls in a swift dance. But its movements reveal more than just the hole's pull: an invisible partner joins the dance — dark matter.
HEP Phenomenology2026-05-202 minarXiv:2605.21477express
The Gentle Boiling of the Cosmos
A tiny black hole, no larger than an atomic nucleus, hovers in a cloud of hydrogen. It doesn't swallow everything around it; instead, it slowly radiates away, losing mass with every moment.
Cosmology2026-05-192 minarXiv:2605.19375express
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A spotlight shines through a dark hall. Between the lamp and the wall, an invisible lens drifts by, and the spot of light briefly brightens and shifts. That is exactly what the DECam telescope, aimed at the Large Magellanic Cloud, a satellite galaxy of our Milky Way, was watching for five consecutive nights.
General Relativity2026-05-182 minarXiv:2605.18097express
Black Holes from the Universe's Infancy
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Cosmology2026-05-151 minarXiv:2605.15749express
Ghost Black Holes: The Hunt That Comes Up Empty
The universe hums like an orchestra: its notes are gravitational waves — ripples in spacetime predicted by Albert Einstein. The LIGO observatories, made exquisitely sensitive thanks to Rainer Weiss, strive to catch these whispers.