Examination of a simple example of gravitational wave memory
Open accessAbstract
We examine a simple example of gravitational wave memory due to the decay of a point particle into two point particles. In the case where one of the decay products is null, there are two types of memory: a null memory due to the null particle and an ordinary memory due to the recoiling timelike particle. In the case where both decay products are timelike, there is only ordinary memory. However, this ordinary memory can mimic the null memory in the limit where one of the decay products has a large velocity.
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Memory can be decomposed into an ordinary contribution produced by the change in the mass multipole moments of the radiation source and a null memory effect produced by the energy flux that reaches null infinity.
“Memory can be decomposed into two contributions [21]: the first is an 'ordinary' contribution produced by the change in the mass multipole moments of the radiation source; for example, a black hole binary merger.”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [21]
Section II (pp. 5–6) divides memory into ordinary and null contributions, associating them with a change in P and energy radiated to null infinity, respectively. The Introduction (p. 1) relates memory to a change in the second time derivative of the source’s quadrupole moment only in the weak-field, slow-motion approximation; it does not identify a change in mass multipole moments as the general source of ordinary memory. The Conclusions (p. 12) also caution against describing either associated quantity as the cause of memory. (LLM, conf=0.87)
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- [3]D. Christodoulou and S. Klainerman, The global nonlinear stability of the Minkowski space. Princeton Math.Series 41 . Princeton University Press. Princeton. NJ. (1993).
- [4]N. Zipser. Extensions of the Stability Theorem of the Minkowski Space in General Relativity. - Solutions of the Einstein-Maxwell Equations. AMS-IP. Studies in Advanced Mathematics. Cambridge. MA. (2009).
- [9]L. Bieri and D. Garfinkle, Annales Henri Poincar´ e, 2014 DOI 10.1007/s00023-014-0329-1 · DOI · Paper page
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Gravitational memory and compact extra dimensions
Ferko, C., Satishchandran, G., & Sethi, S. (2022) · Physical Review D · doi:10.1103/physrevd.105.024072 · Cited by 20 · see citing works
- Authors
- Tolish, A., Bieri, L., Garfinkle, D., & Wald, R. M.
- Affiliations
- University of Chicago (US)
- University of Michigan (US)
- Oakland University (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2014-08-26
- Volume
- 90
- Issue
- 4
- ISSN
- 0556-2821 (ISSN-L)
- 1550-7998
- 1550-2368
- OpenAlex
- W2016430993
- Cited by
- 54
- References
- 0
- Citations by year
- 2026: 3 · 2025: 5 · 2024: 6 · 2023: 2 · 2022: 3 · 2021: 9 · 2020: 6 · 2019: 5 · 2018: 4 · 2017: 3 · 2016: 6 · 2015: 1 · 2014: 1
- FWCI
- 1.90
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (PHY-1202718, DMS-1253149, PHY-1205202)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Pulsars and Gravitational Waves Research
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Keywords
- gravitational memory, particle decay, point particles, gravitational waves
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