Nonlinear nature of gravitation and gravitational-wave experiments
Abstract
It is shown that gravitational waves from astronomical sources have a nonlinear effect on laser interferometer detectors on Earth, an effect which has hitherto been neglected, but which is of the same order of magnitude as the linear effects. The signature of the nonlinear effect is a permanent displacement of test mases after the passage of a wave train.
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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 [13]
A full nonlinear analysis is needed to define a notion of radiated power per unit angle, which gives energy-momentum loss as well as the null memory contribution to the total memory effect.
“As in the non-compact case, a full nonlinear analysis is needed to define a notion of radiated power per unit angle, which gives energy-momentum loss as well as the null memory contribution to the total memory effect [13].”
From Gravitational memory and compact extra dimensions (2022) · cites this paper as [13]
Cited by
Sorted by citations
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
Blanchet, L. (2006) · Living Reviews in Relativity · doi:10.12942/lrr-2006-4 · Cited by 686 · see citing works
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
- Christodoulou, D.
- Affiliations
- Courant Institute of Mathematical Sciences (US)
- Corresponding author
- Christodoulou, Demetrios
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1991-09-16
- Volume
- 67
- Issue
- 12
- Pages
- 1486-1489
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1996114156
- Cited by
- 638
- References
- 0
- Citations by year
- 2026: 40 · 2025: 68 · 2024: 70 · 2023: 36 · 2022: 50 · 2021: 47 · 2020: 48 · 2019: 59 · 2018: 31 · 2017: 39 · 2016: 27 · 2015: 10 · 2014: 15 · 2013: 3 · 2012: 7
- FWCI
- 8.41
- Type
- journal article
- Language
- en
- Open access
- closed
- Locations
- Physical Review Letters (publishedVersion)
- PubMed (publishedVersion)
- 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 › Engineering › Ocean Engineering › Geophysics and Sensor Technology
- Keywords
- gravitational waves, gravitational wave detection
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