Mass & Attraction: What Happens in Empty Space?

In summary, two massive objects placed in an empty space will attract each other due to the force of gravity, as explained by the geodesic equations in General Relativity. This force comes from the objects following the least action principle and choosing to follow geodesics in the presence of gravity. However, the concept of creating mass out of nothing violates conservation of energy and is not a consistent physical model. The theoretical idea of a zero energy universe does not involve creating mass out of nothing, but instead relates to the mathematical representation of a closed universe model.
  • #1
hafiz ns
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what happens if 2 massive objects are placed in an empty space.
Does it attracts each other?
Does any change happens in its position?
If there is a force where did it come from?
 
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  • #3
typically they will attract each other after some time [if we consider gravitation propagating with the speed of light].
Yes, there is change in position, coming from the geodesic equations (because of gravity acts as an inertial force)
The force will come because the objects will in general choose to follow the least action principle. Because there is gravity, they will choose to follow the geodesics I mentioned above.
 
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  • #4
hafiz ns said:
what happens if 2 massive objects are placed in an empty space.

You can't actually do this, because it would violate conservation of energy. Massive objects can't simply appear out of nowhere. So the question as you ask it isn't really well-defined; there is no consistent physical model that corresponds to it.

That said, there are plenty of other ways of posing scenarios that show that massive objects attract each other.

ChrisVer said:
typically they will attract each other after some time [if we consider gravitation propagating with the speed of light].

It is true that gravity propagates at the speed of light (at least, it does according to GR, and our best current belief is that GR is correct in this respect). However, for the reasons given above, the simple thought experiment proposed by the OP can't be used to show the speed of propagation of gravity, because it's not a consistent scenario.
 
  • #5
PeterDonis said:
You can't actually do this, because it would violate conservation of energy. Massive objects can't simply appear out of nowhere. So the question as you ask it isn't really well-defined; there is no consistent physical model that corresponds to it.

Hi Peter,

True - as a practical matter - it is not possible to suddenly create a mass from nowhere ...but theoretically it costs nothing to create a mass inasmuch as the creation process also creates its negative energy G field at the same time - this was among Feynman's first musings in his lectures on gravity... that as since been embellished upon by a number of writers who support the proposition of a zero energy universe
 
  • #6
I don't think the OP is insisting that these masses appear from nowhere. If I say "two apples are placed on a table", it doesn't mean they appeared out of nowhere.
 
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  • #7
well then the "space" should be replaced, because the space could be translated to universe which contains everything. :w
It would be better to say "2 masses exist in an empty space", and not "2 masses are placed in an empty space" (placed from where?).
 
  • #8
hafiz ns said:
what happens if 2 massive objects are placed in an empty space.
Does it attracts each other?
Does any change happens in its position?
If there is a force where did it come from?
They should gravitationally attract each other, albeit I read some insane peopleo0) suggested they could repel in a matter-antimatter case.
 
  • #9
yogi said:
theoretically it costs nothing to create a mass inasmuch as the creation process also creates its negative energy G field at the same time

Feynman speculated about this, yes, but he was not talking about classical GR, he was talking about a possible theory of quantum gravity that hadn't even been developed yet. My statement was referring to classical GR.

yogi said:
the proposition of a zero energy universe

This has nothing to do with mass being created "out of nothing" along with a corresponding negative gravitational potential energy. It has to do with the fact that a closed universe model can be expressed mathematically in the same form as the equations for a body that is launched upward under Newtonian gravity and then freely falls. In this model, no matter or energy is created anywhere; the classical GR constraint for local energy conservation is obeyed. The "zero energy" just refers to the fact that you can choose the "zero point" of gravitational potential energy so that it always just cancels the total kinetic energy of the matter. This is a mathematical trick, not a physical statement.
 

1. What is mass and how does it affect objects in empty space?

Mass is a measure of the amount of matter in an object. It determines the strength of an object's gravitational pull, or attraction, to other objects. In empty space, the more massive an object is, the stronger its gravitational pull will be on other objects.

2. Why do objects in empty space attract each other?

Objects in empty space attract each other due to the force of gravity. This is a fundamental force of nature that exists between all objects with mass. The strength of the gravitational attraction depends on the masses of the objects and the distance between them.

3. How does the distance between objects affect their gravitational attraction?

The gravitational attraction between two objects decreases as the distance between them increases. This relationship is described by the inverse square law, which means that the force of gravity decreases by a factor of four when the distance between two objects is doubled.

4. Can objects in empty space have a gravitational force without touching each other?

Yes, objects in empty space can have a gravitational force on each other even without touching. This is because gravity is a long-range force that can act over large distances. The force of gravity between two objects will always exist as long as they have mass, regardless of how far apart they are.

5. How does Einstein's theory of relativity explain the concept of gravity and attraction in empty space?

Einstein's theory of relativity explains gravity as a curvature of space and time. According to this theory, massive objects cause a distortion in the fabric of space-time, which is what we experience as the force of gravity. In empty space, objects with mass create these distortions, which then result in the attraction between them.

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