Apparent horizons depend on the " slicing " of a spacetime.
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Apparent horizons are not invariant properties of a spacetime.
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For example, important distinctions must be made between absolute horizons and apparent horizons.
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There would still be an apparent horizon, which is the radius at which outgoing light rays are stationary.
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In the simple picture of stellar collapse leading to formation of a black hole, an event horizon forms before an apparent horizon.
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That is, the location and even existence of an apparent horizon depends on the way spacetime is divided into space and time.
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The apparent horizon ( marginally outer trapped surface ) is a minimal hypersurface, linking the theory of black holes to minimal surfaces and the Plateau problem.
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I deleted all occurrences of the word " event " from my reply above, and you should interpret " horizon " as " apparent horizon ".
9.
In the particle's reference frame, there appears to be a boundary behind it from which no signals can escape ( an apparent horizon ).
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Within an apparent horizon, light is not moving away from the black hole, whereas in an event horizon, light cannot escape from the black hole.
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