Undergrad Gravity Wave Propagation: Negative Energy Pulse?

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SUMMARY

This discussion centers on the behavior of gravitational waves, specifically addressing the phenomenon of negative energy pulses during singularity mergers as observed in simulations. The conversation clarifies that gravitational waves, not gravity waves, exhibit characteristics of contracting and expanding spacetime, which is a coordinate-dependent interpretation. The metric of spacetime remains Lorentzian, and the expansion of spacetime following a gravitational wave depends on the wave's shape, governed by the wave equation.

PREREQUISITES
  • Understanding of gravitational wave physics
  • Familiarity with Lorentzian metrics in spacetime
  • Knowledge of wave equations and their properties
  • Experience with simulation tools for spacetime visualization
NEXT STEPS
  • Research the properties of gravitational waves and their implications in astrophysics
  • Study Lorentzian geometry and its application in general relativity
  • Explore the wave equation and its relevance to gravitational wave propagation
  • Examine advanced simulation techniques for visualizing spacetime phenomena
USEFUL FOR

Astrophysicists, theoretical physicists, and students of general relativity who are interested in the dynamics of gravitational waves and their effects on spacetime.

desertsoldier39
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TL;DR
First year Astronomy and planetary sciences student. Have some questions when looking at G-wave propagation and formation simulations.
At 0:51 in this simulation video there seems to be a brief moment upon merging that these singularities produce what appears to be negative gravitational "Spike?" that seems to bulge spacetime in an opposite metric compared to normal spacetime flatness. Is this a quirk of the simulation or is this a pulse of negative energy?

 
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I also have a second question above G-waves themselves. They appear to be propagating waves of contracting and expanding spacetime. When spacetime contracts at the leading edge of the wave and then expands, does the expansion revert back to normal spacetime flatness or is there a momentary expansion beyond that metric?
 
First, nomenclature: it is gravitational waves, not gravity waves. Gravity waves are things like waves on a water surface.

Second, you cannot really learn much about gravitational waves by watching simulations like this, which will always be some lower dimensional representation of the full simulation.

It is not clear to me what you would mean by ”opposite metric”. The metric of a spacetime is by construction Lorentzian everywhere.

In particular coordinate systems, gravitational waves may be described as space expanding and contracting (not spacetime, which is what it is - time is a part of it so it does not actually do anything). However, that is a coordinate dependent interpretation requiring you to make particular choices of coordinates and assign them the space and time labels.

desertsoldier39 said:
When spacetime contracts at the leading edge of the wave and then expands, does the expansion revert back to normal spacetime flatness or is there a momentary expansion beyond that metric?
This completely depends on the shape of the wave - as for any wave, gravitational waves are governed by the wave equation.
 
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In an inertial frame of reference (IFR), there are two fixed points, A and B, which share an entangled state $$ \frac{1}{\sqrt{2}}(|0>_A|1>_B+|1>_A|0>_B) $$ At point A, a measurement is made. The state then collapses to $$ |a>_A|b>_B, \{a,b\}=\{0,1\} $$ We assume that A has the state ##|a>_A## and B has ##|b>_B## simultaneously, i.e., when their synchronized clocks both read time T However, in other inertial frames, due to the relativity of simultaneity, the moment when B has ##|b>_B##...

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