General Relativity for Mathematicians
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The physical motivation for part (b) of Equation 4.1 is an electromagnetic system in the classical limit of a particle- and charge-conserving continuum fluid and a two-component system composed of the charged fluid itself with specified initial conditions plus its own electromagnetic field, both dynamically acting on one another through Maxwell's equations plus Lorentz forces.
“The physical motivation for part (b) of (Equation4.1) was anticipated in Section3.1: an electromagnetic system in the classical limit of a particle- and charge-conserving continuum fluid and a two-component system composed of the charged fluid itself with specified initial conditions (one sub-system) plus its own electromagnetic field (the second sub-system), both dynamically acting on one another”
From A strictly local solution to the problem of energy in general relativity (2026) · cites this paper as Sachs and Wu, 1977
Cited by
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On the Geometry of Generalized Robertson-Walker Spacetimes: Geodesics
Sánchez, M. (1998) · General Relativity and Gravitation · doi:10.1023/a:1026664209847 · Cited by 149 · see citing works
Can the Universe create itself?
Gott, J. R., & Li, L.-X. (1998) · Physical Review D · doi:10.1103/physrevd.58.023501 · Cited by 127 · see citing works
Galloway, G. J., & Solis, D. A. (2007) · Classical and Quantum Gravity · doi:10.1088/0264-9381/24/11/021 · Cited by 10 · see citing works
A strictly local solution to the problem of energy in general relativity
Vieira, W. M., & Magalhaes, N. S. (2026) · Frontiers in Astronomy and Space Sciences · doi:10.3389/fspas.2025.1710235
“…(1975), Weinberg (1972), Rodrigues and Oliveira (2016), Arminjon (2016), Vargas and Torr (1991), Lovelock and Rund (1989), Dalton (1989), Synge and Schild (1978), Sachs and Wu (1977), Synge (1960), Wu (2016) (despite some difficulty with the author’s phrasing), Aoki (2025); and Schouten (1989).”
Influential
- Authors
- Sachs, R. K., & Wu, H.-H.
- Affiliations
- University of California, Berkeley (US)
- ORCID
- Sachs, Rainer K.
- Venue
- Graduate Texts in Mathematics
- Publisher
- Springer New York
- Published
- 1977
- ISSN
- 0072-5285 (ISSN-L)
- OpenAlex
- W1620889972
- Cited by
- 643
- References
- 0
- Citations by year
- 2026: 9 · 2025: 16 · 2024: 10 · 2023: 27 · 2022: 11 · 2021: 13 · 2020: 39 · 2019: 30 · 2018: 13 · 2017: 24 · 2016: 21 · 2015: 15 · 2014: 20 · 2013: 16 · 2012: 16
- FWCI
- 7.02
- Type
- book
- Language
- en
- Open access
- closed
- Licence
- www.springer.com/tdm (tdm)
- Locations
- Graduate texts in mathematics (publishedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Relativity and Gravitational Theory
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Advanced Differential Geometry Research
- Physical Sciences › Mathematics › Applied Mathematics › Geometric Analysis and Curvature Flows
- Keywords
- general relativity, differential geometry, spacetime, Einstein field equations, Riemannian geometry, Lorentzian manifolds, mathematical physics
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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