Undergrad Do existing EFE solutions support Closed Timelike Curves?

[cianfa72]

TL;DR

About the existence of EFE solutions supporting Closed Timelike Curves

Hi, I'm curious about the following: taking the point of view of the standard physics of spacetime including EFE's solutions, are there solutions that admit Closed Timelike Curves (CTC) ?

In other words: do exist global topologies and Lorentzian metrics solutions of the EFE that support CTCs ?

Thanks.

 

[martinbn]

TL;DR: About the existence of EFE solutions supporting Closed Timelike Curves

Hi, I'm curious about the following: taking the point of view of the standard physics of spacetime including EFE's solutions, are there solutions that admit Closed Timelike Curves (CTC) ?

In other words: do exist global topologies and Lorentzian metrics solutions of the EFE that support CTCs ?

Thanks.

Yes, of course. For example the Gödel spacetime.

 

[javisot]

TL;DR: About the existence of EFE solutions supporting Closed Timelike Curves

Hi, I'm curious about the following: taking the point of view of the standard physics of spacetime including EFE's solutions, are there solutions that admit Closed Timelike Curves (CTC) ?

In other words: do exist global topologies and Lorentzian metrics solutions of the EFE that support CTCs ?

Thanks.

There are many EFE solutions that violate some, several, or all of the energy conditions. In addition to Gödel's universe, the interior of a Kerr black hole or the Tipler cylinder.

 

[cianfa72]

There are many EFE solutions that violate some, several, or all of the energy conditions. In addition to Gödel's universe, the interior of a Kerr black hole or the Tipler cylinder.

Well, then, for instance in Gödel's universe, by following a suitable timelike path, one could came back to the event where the journey began.

Does the geometry/topology of Gödel's spacetime allow CTCs without having regions of infinite curvature or something like that (e.g. black holes) ?

 

[javisot]

Well, then, for instance in Gödel's universe, by following a suitable timelike path, one could came back to the event where the journey began.

Does the geometry/topology of Gödel's spacetime allow CTCs without having regions of infinite curvature or something like that (e.g. black holes) ?

Gödel's original solution does not contain black holes. Other Kerr-Gödel-type solutions may include them, for example, https://arxiv.org/abs/1207.1984

 

[cianfa72]

Gödel's original solution does not contain black holes. Other Kerr-Gödel-type solutions may include them, for example, https://arxiv.org/abs/1207.1984

Do physicists think that Gödel or Kerr-Gödel-type solutions could be plausible models for our Universe ?

 

[javisot]

Do physicists think that Gödel or Kerr-Gödel-type solutions could be plausible models for our Universe ?

No.

(Maybe some crazy physicist, but usually not)

 

[cianfa72]

Ok, therefore, according the today standard physics, there is no way to take a CTC journey or reach some (remote) region of spacetime via a whormhole or something like that..