Gravitational memory effect

Gravitational memory effects, also known as gravitational-wave memory effects are predicted persistent changes in the relative position of pairs of points in space due to the passing of a gravitational wave.[1] Detection of gravitational memory effects has been suggested as a way of validating Einstein's Theory of General Relativity.[2]

Linear vs. non-linear effects

There are two kinds of predicted gravitational memory effect: a linear phenomenon, and a non-linear phenomenon known as the nonlinear memory effect.[3][4]

Research on the predicted phenomena has been carried out by Ya. B. Zel'dovich and A. G. Polnarev,[1][5] V. B. Braginsky and L. P. Grishchuk,[1][6] and Demetrios Christodoulou.[7]

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gollark: I don't do any special processing of it. Blame a combination of Discord, discord.py, and TIO.run.
gollark: <@!290323543558717441> no. bad.
gollark: ++exec -L c-gcc ```c#include <stdio.h>char*c[]={"","\rfizz","\rbuzz","\rfizzbuzz"};int main() { printf("%d\n", t); for(int i = 1; i < 100; i++) { printf("%d%s\n",i,c[((810091024>>(((i-1)&0xf)*2))&0x3)]); }}```
gollark: ++exec ```c#include <stdio.h>char*c[]={"","\rfizz","\rbuzz","\rfizzbuzz"};int main() { printf("%d\n", t); for(int i = 1; i < 100; i++) { printf("%d%s\n",i,c[((810091024>>(((i-1)&0xf)*2))&0x3)]); }}```

References
  1. Gibbons, G. W. (July 4, 2017). "The gravitational memory effect: what it is and why Stephen and I did not discover it" (PDF).
  2. "Astronomers search for gravitational-wave memory". phys.org. February 4, 2020. Retrieved 2020-07-31.
  3. Favata, Marc (2010-04-21). "The gravitational-wave memory effect". Classical and Quantum Gravity. 27 (8): 084036. doi:10.1088/0264-9381/27/8/084036. ISSN 0264-9381.
  4. Favata, Marc. "Gravitational-wave memory: an overview" (PDF).
  5. Ya. B. Zel’dovich and A. G. Polnarev, “Radiation of gravitational waves by a cluster of superdense stars,” Astron. Zh. 51, 30 (1974) [Sov. Astron. 18 17(1974)].
  6. V B Braginsky and L P Grishchuk, Kinematic resonance and the memory effect in free mass gravitational antennas, Zh. Eksp. Teor. Fiz. 89 744-750 (1985) [Sov.Phys. JETP 62, 427 (1985)].
  7. Christodoulou, Demetrios (1991-09-16). "Nonlinear nature of gravitation and gravitational-wave experiments". Physical Review Letters. 67 (12): 1486–1489. doi:10.1103/PhysRevLett.67.1486. ISSN 0031-9007.


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