Gravity's reaction force in the relativist model?

In summary, the conversation discusses the relationship between gravity and mass, particularly in the context of black holes. It is explained that gravity does not solely depend on mass, but rather on energy-density. The concept is further clarified by introducing the idea of space-time curvature and the reaction force that comes from it. The conversation also addresses the limitations of the "rubber sheet" analogy and provides additional resources for a more detailed understanding of gravity and its effects on space-time.
  • #1
NoBodyAlive
1
0
this is related to the following thread: https://www.physicsforums.com/threads/gravitys-reaction-force.28395/
(but it doesn't seem to accept more replies so i posted here)

my cuestions are:
- ¿if gravity depends on mass, how come we define a black hole as an object so massive that photons (mass zero), cannot escape it?

- ¿if we consider it a bending of space-time then where does the reaction force come from
(does it still exist in the relativist model) ?

i mean, i can see this picture:
http://2.bp.blogspot.com/-gH_MhvFSKRs/UegrsObkp5I/AAAAAAAABL0/qfoXp5mYBQw/s1600/Gravity.png
and imagine the moon might feel like a force F is dragging it, but is there still a F'=-F from the moon to the Earth and how where does it came from?

i apologise for my bad english (it's my second language) and limited knowledge regarding the topic (I'm just an engineering student and we barely touched the topic in class)
 
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  • #2
Welcome to PF;

1. because gravity does not only depend on mass - it depends on the energy-density. Mass happens to be highly concentrated energy.

Note: a black hole is more properly described as a volume of space within which the escape velocity exceeds the speed of light in a vacuum.

Black holes belong to general relativity though - so you need the space-time curvature model.

2. the reaction force also comes from curvature (not bending, that implies there is something for it to bend in) of space time.
In relativity there is no absolute reference frame so it is equally valid to say that one or the other or both objects move towards the other or each other.

3. that picture shows the "rubber sheet" model, and it is somewhat misleading. You can safely ignore this analogy when it comes to drawing conclusions.
The analogy ignores that one of the dimensions involved is time (hard to draw) so both objects try to go in a straight line in space-time, which, because of the geometry, is a curved line towards each other in space.

Also see:
http://physics.stackexchange.com/qu...rved-space-time-describe-the-force-of-gravity
http://physics.stackexchange.com/questions/102910/why-would-spacetime-curvature-cause-gravity

... and a more rigorous introduction to how it all works:
http://preposterousuniverse.com/grnotes/grtinypdf.pdf
http://ned.ipac.caltech.edu/level5/March01/Carroll3/Carroll4.html
 
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FAQ: Gravity's reaction force in the relativist model?

What is gravity's reaction force in the relativist model?

In the relativist model, gravity's reaction force is the force that objects feel as a result of being in a gravitational field. This force is a result of the curvature of spacetime caused by the presence of massive objects.

How is gravity's reaction force different in the relativist model compared to Newton's model?

In Newton's model, gravity is described as a force between two masses that is proportional to their masses and inversely proportional to the square of the distance between them. In the relativist model, gravity is described as the curvature of spacetime caused by the presence of massive objects.

Does gravity's reaction force act instantaneously in the relativist model?

No, in the relativist model, gravity's reaction force does not act instantaneously. Instead, it travels at the speed of light, which means that changes in the gravitational field can take time to propagate from one location to another.

Can gravity's reaction force be shielded in the relativist model?

No, in the relativist model, gravity cannot be shielded. This is because gravity is a result of the curvature of spacetime, which affects all objects regardless of their mass or composition.

Is gravity's reaction force affected by the motion of objects in the relativist model?

Yes, in the relativist model, the motion of objects can affect the strength of gravity's reaction force. This is known as the gravitational time dilation effect, where time appears to run slower in regions with stronger gravitational fields.

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