I think that any cylinder that collapsed would end up as a sphere (if it was not rotating). This is basically a consequence of the "no hair theorem". The only exception *might" be a cylinder with infinite length, but for non zero density it would have infinite mass, complicating things a tad. For example, one complication is that any point on the cylinder would only be "gravitationally aware" of the other particles within its visible horizon.edgepflow said:Is there a similar treatment for a cylinder that would give its radius and height as a function of mass?
That makes sense.yuiop said:I think that any cylinder that collapsed would end up as a sphere (if it was not rotating). This is basically a consequence of the "no hair theorem". The only exception *might" be a cylinder with infinite length, but for non zero density it would have infinite mass, complicating things a tad. For example, one complication is that any point on the cylinder would only be "gravitationally aware" of the other particles within its visible horizon.
yuiop said:I think that any cylinder that collapsed would end up as a sphere (if it was not rotating). This is basically a consequence of the "no hair theorem". The only exception *might" be a cylinder with infinite length, but for non zero density it would have infinite mass, complicating things a tad. For example, one complication is that any point on the cylinder would only be "gravitationally aware" of the other particles within its visible horizon.
But if an infinite cylinder could collapse to a line singularity, I wonder what happens if you just have a finite cylinder which is long enough that the event of the ends beginning to collapse lie outside the past light cone of the event of the center reaching infinite density? (of course the past light cone of this point would still look different than the past light cone of the singularity in the infinite-cylinder case, so that might be enough to explain why it behaves differently) The "no hair" theorem doesn't necessarily rule out the possibility of http://free.naplesplus.us/articles/view.php/42794/are-the-rules-of-physics-broken-with-naked-singularities, I wonder if it can be ruled out that a sufficiently long cylinder might produce one...yuiop said:I think that any cylinder that collapsed would end up as a sphere (if it was not rotating). This is basically a consequence of the "no hair theorem". The only exception *might" be a cylinder with infinite length, but for non zero density it would have infinite mass, complicating things a tad. For example, one complication is that any point on the cylinder would only be "gravitationally aware" of the other particles within its visible horizon.
Gravitational collapse of a cylinder refers to the collapse of a long, thin cylindrical object under the force of its own gravity. This can happen when the object's mass is large enough to overcome the structural forces holding it together.
Gravitational collapse of a cylinder is primarily caused by the object's own mass. As the mass of the cylinder increases, so does its gravitational force, which can eventually become strong enough to overcome the structural forces within the object.
The implications of gravitational collapse of a cylinder can vary depending on the size and composition of the object. In some cases, it can lead to the formation of a black hole, while in others it may result in the formation of a neutron star.
Scientists study gravitational collapse of a cylinder through theoretical models, computer simulations, and observations of real-world phenomena such as collapsing stars and galactic structures. They also use data from gravitational wave detectors to gather information about the effects of gravitational collapse.
No, gravitational collapse of a cylinder cannot be prevented as it is a natural consequence of the laws of gravity and the structure of matter. However, understanding and predicting these phenomena can help us better understand the universe and potentially protect against potential hazards in the future.