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The Post-Newtonian Equations of Hydrodynamics in General Relativity.
Abstract
The standard Eulerian equations of hydrodynamics are generalized to take into account, consistently with Einstein's field equations, all effects of order 1/c2. It is further shown that these post-Newtonian equations allow integrals of motion which are entirely analogous to the Newtonian integrals that express the conservation of mass, linear momentum, angular momentum, and energy. The continued validity of these conservation laws enables a consistent definition of "mass," "momentum," and "energy" in the framework of the post-Newtonian theory. Besides the equations of motion, an appropriate tensor form of the virial theorem is also derived.
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Citations
Cited by
The Confrontation between General Relativity and Experiment
Will, C. M. (2014) · Living Reviews in Relativity · doi:10.12942/lrr-2014-4 · Cited by 3,996
Theory and Experiment in Gravitational Physics
Will, C. M. (2018) · doi:10.1017/9781316338612 · Cited by 3,637
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
The Confrontation between General Relativity and Experiment
Will, C. M. (2001) · Living Reviews in Relativity · doi:10.12942/lrr-2001-4 · Cited by 523
Metadata
- Authors
- Chandrasekhar, S.
- Venue
- The Astrophysical Journal
- Publisher
- American Astronomical Society
- Published
- 1965-11
- Volume
- 142
- Pages
- 1488
- ISSN
- 0004-637X (ISSN-L)
- 1538-4357
- OpenAlex
- W1995496940
- Cited by
- 340
- References
- 0
- FWCI
- 1.63
- Type
- journal article
- Language
- en
- Open access
- closed
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- CoChat. (2026). Citation check: The Post-Newtonian Equations of Hydrodynamics in General Relativity. https://app.cochat.ai/papers/10.1086/148432
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- Chandrasekhar, S. (1965). The Post-Newtonian Equations of Hydrodynamics in General Relativity. The Astrophysical Journal. https://doi.org/10.1086/148432
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