Force Experienced on a Curved Geodesic Path

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    Force Geodesic Path
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Discussion Overview

The discussion centers on the forces experienced by a person inside a spaceship following a geodesic path, particularly in the context of spacetime curvature near massive objects like planets or black holes. Participants explore the differences between experiences in free fall versus those in a vehicle turning on Earth, as well as the implications of tidal forces in large structures.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether a person in a spaceship falling freely on a geodesic path would experience forces similar to those felt in a car turning on Earth near a massive planet.
  • Another participant asserts that, by definition, a geodesic has zero proper acceleration, implying no force is experienced in free fall.
  • A participant introduces the concept of tidal forces, suggesting that if the spaceship is large enough, occupants may feel forces due to the gravitational gradient, particularly near massive bodies like planets or black holes.
  • There is a reiteration of the tidal forces concept, emphasizing that these forces arise from the difference in gravitational pull on different parts of a large object, and that this effect is significant only under extreme conditions.
  • One participant expresses confusion about the conditions under which tidal forces are experienced, particularly regarding the size of the spaceship and its proximity to massive objects.
  • Another participant explains that tidal forces can be analyzed using Newtonian gravity, noting that the effects are qualitatively similar in general relativity through the concept of geodesic deviation.
  • It is mentioned that tidal forces are negligible unless the object is very large or in a strong gravitational field that changes rapidly over short distances.

Areas of Agreement / Disagreement

Participants express differing views on the nature and significance of forces experienced in a geodesic path, particularly regarding tidal forces and the conditions under which they become relevant. The discussion remains unresolved with multiple competing perspectives on the topic.

Contextual Notes

Participants highlight limitations in understanding tidal forces, including dependence on the size of the spaceship and the proximity to massive objects. The discussion also reflects varying interpretations of gravitational effects in both Newtonian and general relativity frameworks.

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Can a person inside a spaceship falling freely on a geodesic path, experience the same just like a person inside a car experience a force on a turn on Earth i.e when the geodesic path is no more straight near a huge planet.

Thanks.
 
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No. By definition the geodesic has zero proper acceleration.
 
One minor caveat to Orodruin's response - if the spaceship is large enough you will experience tidal forces. This would leave you pressed up against the side of the ship furthest or nearest the mass. Or, more uncomfortably, with one end of your body pressed against one side and the other end against the other.

This will only be a significant effect for a planet-sized ship (that's why we get tides on Earth) or very close to a small black hole.
 
Ibix said:
One minor caveat to Orodruin's response - if the spaceship is large enough you will experience tidal forces. This would leave you pressed up against the side of the ship furthest or nearest the mass. Or, more uncomfortably, with one end of your body pressed against one side and the other end against the other.

This will only be a significant effect for a planet-sized ship (that's why we get tides on Earth) or very close to a small black hole.
Little confused, this will only happen near a huge planet if the spaceship is large, because you mention tides on Earth due to moon and close to a black hole.

[edit] If so what is the role of a large ship in which one can experience a force on a turn due to spacetime curvature.
 
Last edited:
rajeshmarndi said:
If so what is the role of a large ship in which one can experience a force on a turn due to spacetime curvature.
In a curved spacetime, nearby geodesics are not quite exactly parallel ("geodesic deviation"), so nearby masses in free fall will want to move apart or be forced together. If the two masses are the opposite ends of some object, that object will experience crushing or stretching forces. The larger the volume of space we're considering, the greater the effect so it will be more pronounced inside a very large ship than a very small one.

Except under very extreme conditions tides are most easily analyzed using Newtonian gravity: use Newton's law to compute the magnitude (slightly different if ##r## is slightly different) and the direction (slightly different for any two points not on the same radius) of the force vectors on two nearby masses in the gravitational field of a planet. The GR model of tidal forces as geodesic deviation is a lot easier to follow after you've worked through the Newtonian equivalent.
 
rajeshmarndi said:
Little confused, this will only happen near a huge planet if the spaceship is large, because you mention tides on Earth due to moon and close to a black hole.

[edit] If so what is the role of a large ship in which one can experience a force on a turn due to spacetime curvature.
You always get tidal forces. In Newtonian terms, this is because the parts of the ship nearer the gravitating mass feel a stronger force than those further away. In GR terms, the reasoning is a bit different (geodesic deviation) but the effect is the same, at least qualitatively.

However, the effect is utterly negligible unless you are really, really large (the size of a planet) or in a gravitational field that changes a lot over a short distance (near a small black hole). Whether you are turning or not isn't relevant.
 

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