Does Warping Spacetime Generate Mass?

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SUMMARY

The discussion centers on the relationship between warped spacetime and mass generation, specifically questioning whether warping spacetime around a point could impart inertia to that point. It is established that gravity waves are massless ripples in spacetime, carrying energy and momentum, and that a system of gravity waves can exhibit mass despite individual waves being massless. The conversation highlights that in General Relativity (GR), gravity couples to energy via the stress-energy tensor rather than mass, challenging traditional Newtonian concepts of gravity.

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  • Understanding of General Relativity (GR)
  • Familiarity with the stress-energy tensor
  • Knowledge of gravitational waves and their properties
  • Basic concepts of inertia and mass in physics
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daniel_i_l
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If mass warps ST then can warped ST generate mass? For example, if I warp ST around a point (in ST) will that point have inertia? Will it be atracted to masses that warp ST more. Does this question make any sense? Thanks.
 
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Gravity waves are just ripples in space-time. However, they carry energy and momentum. As is the case for light, E^2 - p^2 = 0 (in geometric units), so a single gravity wave is massless. As is also the case for the light, if you have a pair of gravity waves traveling in opposite directions, the total momentum p is zero, but the total energy E is greater than zero, which means that the system comprising the pair of gravity waves has mass.

In GR gravity couples to energy (more precisely, the stress-energy tensor) rather than mass, anyway. The idea that gravity couples to mass is basically a carryover from Newtonian gravity.
 
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