(please explain it as you would to someone who has not taken aastronomy class)

6. Describe a black hole in terms of escape velocity and the speedof light, and tell what happens to an observer falling into a blackhole from the viewpoints of the infalling observer and an outsideobserver far from the black hole.

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Theoretical question here on relativity and black holecollisions.

Suppose a very small black hole (A) is at rest and an observer iswithin its event horizon.
Now consider that a much larger black hole (B) is approachingsingularity A at a highly relativistic speed (hence very highlyrelativistic momentum), and the two singularities collide head-on(extreme precision).

Now, by Conservation of Relativistic Momentum, the twosingularities (whether they fuse together or not) should travel inthe direction of initial motion of the larger black hole (B)because it had much more momentum.

Q: Is it possible for the observer, initially suspended withinevent horizon of Black hole (A), to escape both black holes becausethe collision would cause the 2 singularities to recede away fromher at a very high relativistic speed?

That is to say, would this bizarre black hole collision allow anobserver to escape a black hole and violate the concept of theevent horizon? If so, since not even light can escape a black holefrom within the horizon, would this imply that the observer isreceding away from the two singularities at a relative speedgreater than c? What sort of physical implications would this have,what would happen to the local spacetime? What strange events mightoccur? If this event is not possible, please explain explicitly whynot. If the observer did not escape, what sort of strange thingsmight she see when being dragged by the receding 2singularities?

Theoretical question here on relativity and lengthcontraction:

If a neutron star of upper-limit mass is moving at a highlyrelativistic speed when viewed by an observer, then we know thatthe neutron star will appear to contract in the direction ofmotion.

Is it possible for the neutron star to appear to contractsufficiently enough so that its density becomes large enough to beconsidered a black hole (satisfies Schwarzschild radius) relativeto a stationary observer?

That is to say, is it possible for a stellar object to be a neutronstar in its rest frame but a black hole in the another frame ofreference? If so, what implications could that hold, would light beunable to escape it from the observer's frame (but possible toescape it from its rest frame)?

(a) How long does it take the astronaut in Example 28.2 to travel at (as measured by the Earth-bound observer)? (b) How long does it take according to the astronaut? (c) Verify that these two times are related through time dilation with as given.

Example 28.2 Calculating Length Contraction: The Distance between Stars Contracts when You Travel at High Velocity Suppose an astronaut, such as the twin discussed in Simultaneity and Time Dilation, travels so fast that . (a) She travels from the Earth to the nearest star system, Alpha Centauri, away as measured by an Earth-bound observer. How far apart are the Earth and Alpha Centauri as measured by the astronaut? (b) In terms of c , what is her velocity relative to the Earth? You may neglect the motion of the Earth relative to the Sun. (See Figure 28.11.)

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