Memory effect for particle scattering in odd spacetime dimensions
Open accessAbstract
We investigate the gravitational memory effect for linearized perturbations off of Minkowski space in odd spacetime dimensions $d$ by examining the effects of gravitational radiation from classical point particle scattering. We also investigate analogous memory effects for electromagnetic and scalar radiation. We find that there is no gravitational memory effect in all odd dimensions. For scalar and electromagnetic fields, there is no memory effect for $d\ensuremath{\ge}7$; for $d=3$ there is an infinite momentum memory effect, whereas for $d=5$ there is no momentum memory effect but the displacement of a test particle will grow unboundedly with time. Our results are further elucidated by analyzing the memory effect for any slowly moving source of compact spatial support in odd dimensions.
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The explicit recursion relations relating Weyl tensor components order by order in 1/r can be found in [65].
“The explicit recursion relations relating Weyl tensor components order by order in 1 r can be found in [65].”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [65]
The Introduction (p. 2) says the paper keeps only the leading term in a 1/r expansion, and Section IV (around p. 14) gives the leading-order linearized Riemann tensor. Searches for Weyl tensor components and recursion relations found no passage giving order-by-order relations, so our copy does not verify the attributed claim. (LLM, conf=0.77)
Experimental — accuracy not yet measuredA scalar field in four dimensions with null sources does not admit a 1/r expansion near I+ when J ∼ 1/r^2; rather one must include log(r)/r^n terms in the expansion.
“However, this is not the case for a scalar field in four dimensions with null sources [65]. A scalar field φ in Minkowski spacetime satisfying”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [65]
The Introduction (p. 2) says the paper studies odd spacetime dimensions, and Section II (p. 5) models scattering particles with timelike worldlines. Searches for four-dimensional null sources, a J ∼ 1/r² source, and log(r)/rⁿ terms found no passage addressing the claimed expansion. (LLM, conf=0.76)
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Research works printed but not linked: 6
- [6]S. Hollands, A. Ishibashi, and R. M. Wald, Classical and Quantum Gravity 34, 155005 (2017). arXiv:1612.03290 [gr-qc] · arXiv
- Gravity 34, 145015 (2017). arXiv:1702.00095 [gr-qc] · arXiv
- [8]S. Hollands and A. Ishibashi, J. Math. Phys. (N.Y.) 50 072502 (2005). arXiv:hep-th/0311178 · arXiv
- [9]S. Hollands and R. M. Wald, Classical and Quantum Gravity 21, 5139 (2004).
- [10]F. G. Friedlander, The Wave Equation on a Curved Space-Time (Cambridge, London, 1975).
- [11]R. M. Wald, General Relativity (The University of Chicago Press, Chicago, 1984). http://arxiv.org/abs/1411.5745 http://arxiv.org/abs/1502.06120 http://arxiv.org/abs/1510.03386 http://arxiv.org/abs/1409.1800 http://arxiv.org/abs/1612.03290 http://arxiv.org/abs/1702.00095 http://arxiv.org/abs/hep-th/0311178 http://arxiv.org/abs/gr-qc/0407014 · arXiv
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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
Self-citation
- Authors
- Satishchandran, G., & Wald, R. M.
- Affiliations
- University of Chicago (US)
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2018-01-25
- Volume
- 97
- Issue
- 2
- ISSN
- 2470-0010 (ISSN-L)
- 2470-0029
- OpenAlex
- W2805012491
- Cited by
- 18
- References
- 0
- Citations by year
- 2026: 1 · 2025: 1 · 2022: 2 · 2021: 1 · 2020: 3 · 2019: 5 · 2018: 5
- FWCI
- 1.88
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Licence
- Locations
- Physical review. D/Physical review. D. (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Bulletin of the American Physical Society
- Funders
- National Science Foundation (PHY 15-05124)
- University of Chicago
- 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, gravitational waves, electromagnetic radiation, scalar radiation, linearized gravity, displacement memory
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