Time dilation inside the second horizon of the BH

In summary, the conversation discusses the concept of time dilation being coordinate-independent and provides an example of Alice freely falling into a rotating black hole. It is mentioned that as the black hole rotates, Alice may be able to safely hover near the ring singularity. The conversation also mentions Bob's potential arrival and how it may align with Alice's position on the opposite side of the black hole.
  • #1
Dmitry67
2,567
1
Here is an example, where time dilation is coordinate-independent.

Alice freely falls into the rotating BH. When she crosses the second horizon, she stops and hovers (enjoying the spectacular view of the naked ring singularity). As ring actually repels in some places, she would be safe and probably can even switch off her engines.

Bob waits 1 day, or 1 year, and does the same. How long Alice would wait his arrival?

Note: as BH is rotating, when Bob arrives Alice can be on the opposite side of BH, so we look at the scenarios where Bob is lucky, or 'in sync' with the rotation, so they meet.
 
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  • #2
Hm... No ideas?
 

Related to Time dilation inside the second horizon of the BH

1. What is time dilation inside the second horizon of a black hole?

Time dilation refers to the phenomenon where time appears to pass at a different rate for an observer in a gravitational field. Inside the second horizon of a black hole, the gravitational pull is so strong that time appears to slow down significantly compared to an observer outside the black hole.

2. How does time dilation inside the second horizon of a black hole affect objects?

As time appears to slow down inside the second horizon of a black hole, objects will also appear to slow down in their movement and will eventually come to a complete standstill at the event horizon. This is due to the extreme gravitational forces present inside the black hole.

3. What causes time dilation inside the second horizon of a black hole?

Time dilation inside the second horizon of a black hole is caused by the intense gravitational pull of the black hole. This gravitational pull warps the fabric of space-time, causing time to slow down for objects within its influence.

4. Is time dilation inside the second horizon of a black hole the same for all observers?

According to Einstein's theory of relativity, time dilation is relative and can be experienced differently by different observers. However, for an observer outside the black hole, time dilation inside the second horizon of a black hole would appear to be infinite, meaning time would appear to stand still for an object inside the black hole.

5. Can anything escape from the time dilation inside the second horizon of a black hole?

No, nothing can escape from the time dilation inside the second horizon of a black hole. As an object approaches the event horizon, it will experience infinite time dilation, meaning time will appear to standstill. This makes it impossible for anything to escape from the gravitational pull of the black hole.

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