Dokuchaev, Is there life inside black holes?

[bcrowell]

Dokuchaev, "Is there life inside black holes?"

I thought this was pretty cool.

"Is there life inside black holes?"
Vyacheslav I. Dokuchaev
http://arxiv.org/abs/1103.6140

Abstract: Inside a rotating or charged black holes there are bound periodic planetary orbits, which not coming out nor terminated at the central singularity. The stable periodic orbits inside black holes exist even for photons. We call these bound orbits by the orbits of the third kind, following to Chandrasekhar classification for particle orbits in the black hole gravitational field. It is shown that an existence domain for the third kind orbits is a rather spacious, and so there is a place for life inside the supermassive black holes in the galactic nuclei. The advanced civilizations may inhabit the interiors of supermassive black holes, being invisible from the outside and basking in the light of the central singularity and orbital photons.

 

[Dmitry67]

But as we discussed before, ring singularity is a property of an nonrealistic (eternal) rotating BH, existed forever. It is not known what is inside realistic BH, formed via collapse.

 

[bcrowell]

But as we discussed before[...]

Can you give a link?

 

[George Jones]

Can you give a link?

See below.

See the figure between pages 14 and 15 from the link below.

There is a weak curvature singularity at the inner (Cauchy) horizon of a rotating black hole. Seminal work on this was done by Poisson and Israel, and this work was continued by Ori. See

http://physics.technion.ac.il/~school/Amos_Ori.pdf ,

particularly pages 15, starting at "Consequence to the curvature singularity at the IH: (IH = Inner Horizon), 16, and 24. On page 24, Ori says that classical general relativity cannot predict what happens inside the inner horizon,

For Novikov's take on this, see

http://arxiv.org/abs/gr-qc/0304052.

Roughly, if components of g (the metric) are continuous but "pointy" (like the absolute value function), then first derivatives of g have step diiscontinuities (like the Heaviside step function), and second derivatives of g (used in the curvature tensor) are like Dirac delta functions. If a curvature singularity blows up like a Dirac delta function, then integration produces only a finite contribution to the tidal deformation of an object, which, if the object is robust enough, it can withstand.

 

[Dmitry67]

Can you give a link?

Note that even if closed time curves exist, GR can't predict what is inside, because while the 'surroundings' of the loop form boundary conditions for what is 'inside' such loop, there are infinitely many different solutions, compatible with these boundary conditions.

say, there is an object inside the loop with (based on the boundary conditions) mass 1kg. What is it? Blob of iron? silver? gold? quagma? Boundary conditions don't care.

In the 'ordinary' Universe such problem is resolved naturally because we can (in terms of 'emulation' of the Universe) 'track' objects (their worldlines) from the past into the future. In another words, configuration of the matter in the future has boundary conditions in the past (continuity, objects can't disappear into nothing nor appear from nothing).

But all the above is not true in a time loop; as objects there can be 'eternal', existed 'forever' in some sense, without any preceding history. I want to stress that it is not a problem of complexity of GR equations; you can't even use numeric methods (simulations), because in such models the whole new area of spacetime would instantly 'pop up' into existence without any preceding history.