Can event Horizon size shift due to motion?

[MWresearch]

For an individual person entering a black hole, even though it makes perfect sense, it's still weird that someone falling in to a black hole doesn't ever experience passing through the event horizon, that space-time becoming infinitely dilated and contracted is relative. But, since relativistic affects of acceleration due to motion is seemingly equivalent to the relativistic effects of gravitational fields, would accelerating towards a black hole near the speed of light cause the perception that it's event horizon has shrunk not due to length contraction, but due to a relativistic lesser difference in the space-time rotation of the frames?

 

Or in other words, if two observers are in similar gravitational fields, they will see each other's time and lengths being similar. If someone moves at 99% the speed of light, would they relatively see a black hole having less relative gravity and thus a smaller event horizon in all directions (not just the direction of motion)?

[MigL]

Don't mix up your frames.

I would imagine that the event horizon should 'move' with respect to the central singularity, if its mass were to be accelerated.

[MWresearch]

The issue isn't mixing them up its "since these effects affect relative mass and space-time curvature, couldn't the event horizon size change relativisticly change?"

[md65536]

For an individual person entering a black hole, even though it makes perfect sense, it's still weird that someone falling in to a black hole doesn't ever experience passing through the event horizon, that space-time becoming infinitely dilated and contracted is relative. [...]

 

Or in other words, if two observers are in similar gravitational fields, they will see each other's time and lengths being similar. If someone moves at 99% the speed of light, would they relatively see a black hole having less relative gravity and thus a smaller event horizon in all directions (not just the direction of motion)?

A person would experience passing the event horizon, only there wouldn't be any nearby effects that indicate its happening.

By analogy, if you walk between two markers, you experience passing the halfway point, but you wouldn't know you're there except through calculation or observations of distant locations.

"Infinitely dilated" is only relative, according to a distant observer. A local clock still ticks at 1 second per second as the observer falls past the event horizon. Except for gravitational gradients ("spaghettification") in practical cases, the in-falling observer doesn't notice anything weird nearby, even while passing the horizon.

 

You're speaking of relativistic mass, and that's just the mass equivalence of the total energy of a thing. Mass is "rest mass". The Schwarzschild radius event horizon is based on mass, not total energy, and it doesn't change with relative motion of the observer.

Edited March 17, 2015 by md65536