The gravitational force of energy

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Discussion Overview

The discussion centers around the concept of gravitational force related to energy, specifically whether energy can be treated similarly to mass in gravitational equations. Participants explore the implications of substituting energy for mass in these equations, considering various forms of energy such as internal and kinetic energy.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant suggests replacing mass (M) in gravitational equations with energy (E/c²), proposing a modified gravitational force equation.
  • Another participant questions whether energy should be substituted directly after determining the equivalent energy content of an object's mass.
  • A different viewpoint indicates that while internal energy can be treated simply, the treatment of kinetic energy may be more complex, particularly at velocities approaching the speed of light.
  • One participant references the Einstein field equations and mentions the frame dragging effect from moving masses, suggesting a connection to gravitoelectromagnetism as a potential framework for understanding these concepts.

Areas of Agreement / Disagreement

Participants express differing opinions on the treatment of kinetic energy in gravitational contexts, indicating that the discussion remains unresolved with multiple competing views on how energy relates to gravitational force.

Contextual Notes

There are limitations regarding the assumptions made about different forms of energy and their applicability in gravitational equations, particularly concerning the complexities introduced by relativistic effects.

anorlunda
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Energy gravitates. Is is so simple as to replace M in gravitational euqations with E/c*c ?

F=[itex]\frac{G*M\underline{1}*M\underline{2}}{DM\underline{1,2}}[/itex]=F=[itex]\frac{G*E\underline{1}*E\underline{2}}{c\overline{4}*DM\underline{1,2}}[/itex]
 
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Whoops, forgive me for screwing up the latex. I clicked on post too early.
 
Wouldn't you just replace it with E after finding the equivalent energy content for an objects mass?
 
If it's internal energy, e.g. heat or chemical, yes it is that simple. I'm not sure about kinetic energy though. Especially when the object's velocity is close to c.
 
For kinetic energy, I believe the answer lies in the Einstein field equations, but I don't know how to solve the Weyl curvature. But, there is a frame dragging effect from a moving mass, which creates a gravity which isn't radial. There's a formal analogy to magnetism, called gravitoelectromagnetism https://en.wikipedia.org/wiki/Gravitoelectromagnetism, which might answer your question.
 

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