Do Astrophysical Black Holes Contain CTCs?

In summary, while it is plausible that astrophysical black holes contain CTCs, there is not yet widespread agreement on this theory.
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bIcyt265
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TL;DR Summary
Is it plausible that astrophysical black holes contain CTCs?
I've been seeing popularizations recently that talk as though it's widely accepted that astrophysical black holes contain CTCs. Example: https://www.abc.net.au/news/2023-01...me-machines-yes-but-there-s-a-catch/101822002

Is this accurate? Eternal black hole solutions contain all kinds of features that aren't expected to be physical for black holes that form by gravitational collapse. For example, the Schwarzschild spacetime has an Einstein-Rosen bridge and a white hole. The fact that the Kerr solution has CTCs doesn't mean that astrophysical black holes necessarily contain them.

On the other hand, I would have said the same thing about Cauchy horizons until Dafermos's recent work.

Are the current best formulations of chronology protection set up in such a way that CTCs inside an astrophysical black hole would be counterexamples, or are they set up so that CTCs behind an event horizon don't count?
 
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  • #2
bIcyt265 said:
I've been seeing popularizations recently that talk as though it's widely accepted that astrophysical black holes contain CTCs.
Popularizations are not a good place to go to learn actual physics.

bIcyt265 said:
On the other hand, I would have said the same thing about Cauchy horizons until Dafermos's recent work.
Can you give a reference?
 
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Well, if OP prefers us to guess what (s)he wants to talk about, references 6-9 in https://arxiv.org/abs/1406.7253 seem likely to be relevant. Haven't looked to see if they're on arxiv.
 
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bIcyt265 said:
On the other hand, I would have said the same thing about Cauchy horizons until Dafermos's recent work.
This may be unexpected but it is only ##C^0##-stability of the Cauchy horizon of Kerr. The usual form of the strong censorship is still expected to hold.
 
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bIcyt265 said:
TL;DR Summary: Is it plausible that astrophysical black holes contain CTCs?

I've been seeing popularizations recently that talk as though it's widely accepted that astrophysical black holes contain CTCs. Example: https://www.abc.net.au/news/2023-01...me-machines-yes-but-there-s-a-catch/101822002

Is this accurate? Eternal black hole solutions contain all kinds of features that aren't expected to be physical for black holes that form by gravitational collapse. For example, the Schwarzschild spacetime has an Einstein-Rosen bridge and a white hole. The fact that the Kerr solution has CTCs doesn't mean that astrophysical black holes necessarily contain them.

On the other hand, I would have said the same thing about Cauchy horizons until Dafermos's recent work.

Are the current best formulations of chronology protection set up in such a way that CTCs inside an astrophysical black hole would be counterexamples, or are they set up so that CTCs behind an event horizon don't count?

There's been a lot of work on the interior geometry of actual astrophysical black holes, but it's unclear to me if there is a generally accepted interior solution.

Google finds, for instance, Hamilton's "The interior structure of rotating black holes 1. Concise derivation", https://arxiv.org/abs/1010.1269. I know I've seen other papers, but I don't recall them - the google search that gave this interesting result was to try to bump my memory. The other papers I recall seeing were not so ambitious.

So, are the results of a google search "generally accepted". Probably not, but one could get lucky :).

This paper builds on Poisson's and Israel's work on mass inflation. https://journals.aps.org/prl/abstract/10.1103/PhysRevLett.63.1663. This is a more established paper with a high citation count. Is this paper "generally accepted"? Hard to say.

Personal note - while I understand bits and pieces, I don't feel I have a good grasp on the "mass inflation" concept.

In general, I'm fairly sure those trying to take a hard skeptical look at the problem would like to see experimental confirmation. But the event horizon is pretty effective at hiding the interior geometry.
 

1. What are CTCs?

CTCs, or Closed Timelike Curves, are theoretical paths in spacetime that loop back on themselves, allowing for the possibility of time travel.

2. How are CTCs related to black holes?

CTCs are often studied in relation to black holes because the extreme gravitational pull of a black hole can cause distortions in spacetime, potentially creating a closed timelike curve.

3. Do all black holes contain CTCs?

No, not all black holes are theorized to contain CTCs. It is believed that only rotating black holes, or Kerr black holes, have the potential to create CTCs.

4. Can we observe CTCs in astrophysical black holes?

Currently, there is no evidence to suggest that CTCs exist in astrophysical black holes. They are purely theoretical and have not been observed or proven to exist.

5. What implications would the existence of CTCs in black holes have on our understanding of the universe?

If CTCs were proven to exist in black holes, it would challenge our current understanding of causality and the concept of time. It could also potentially open up the possibility of time travel, which has significant philosophical and ethical implications.

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