The DOI matches its Crossref record; 25 of the 25 references it cites were found in a registry or an index.
Action functionals for relativistic perfect fluids
Open accessAbstract
Action functionals describing relativistic perfect fluids are presented. Two of these actions apply to fluids whose equations of state are specified by giving the fluid energy density as a function of particle number density and entropy per particle. Other actions apply to fluids whose equations of state are specified in terms of other choices of dependent and independent fluid variables. Particular cases include actions for isentropic fluids and pressureless dust. The canonical Hamiltonian forms of these actions are derived, symmetries and conserved charges are identified, and the boundary value and initial value problems are discussed. As in previous works on perfect fluid actions, the action functionals considered depend on certain Lagrange multipliers and Lagrangian coordinate fields. Particular attention is paid to the interpretations of these variables and to their relationships to the physical properties of the fluid.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Action integrals and partition functions in quantum gravity
Gibbons, G. W., & Hawking, S. W. (1977) · Physical Review D · doi:10.1103/physrevd.15.2752 · Cited by 3,449
Ordinary Differential Equations
Lonseth, A. T., & Ince, E. L. (1945) · National Mathematics Magazine · doi:10.2307/3029974 · Cited by 3,123
(2007) · Springer eBooks · doi:10.1007/978-0-387-37748-3 · Cited by 2,874
The Large Scale Structure of Space–Time
Woodhouse, N. (1974) · Physics Bulletin · doi:10.1088/0031-9112/25/6/029 · Cited by 2,542
Variational Principles of Mechanics
(1992) · Studies in Applied Mechanics · doi:10.1016/b978-0-444-98700-6.50006-8 · Cited by 1,778
The Variational Principles of Mechanics
Lanczos, C. (1949) · University of Toronto Press eBooks · doi:10.3138/9781487583057 · Cited by 1,345
Perfect Fluids in General Relativity: Velocity Potentials and a Variational Principle
Schutz, B. F. (1970) · Physical Review D · doi:10.1103/physrevd.2.2762 · Cited by 552
Coadjoint orbits, vortices, and Clebsch variables for incompressible fluids
Marsden, J., & Weinstein, A. (1983) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(83)90134-3 · Cited by 481
Gravitational perturbations of spherically symmetric systems. I. The exterior problem
Moncrief, V. (1974) · Annals of Physics · doi:10.1016/0003-4916(74)90173-0 · Cited by 468
Cited by
Harko, T., Lobo, F. S. N., Nojiri, S., & Odintsov, S. D. (2011) · Physical Review D · doi:10.1103/physrevd.84.024020 · Cited by 2,772
Thermodynamic interpretation of the generalized gravity models with geometry-matter coupling
Harko, T. (2014) · Physical Review D · doi:10.1103/physrevd.90.044067 · Cited by 289
Metadata
- Authors
- Brown, J. D.
- Venue
- Classical and Quantum Gravity
- Publisher
- IOP Publishing
- Published
- 1993-08-01
- Volume
- 10
- Issue
- 8
- Pages
- 1579-1606
- ISSN
- 0264-9381 (ISSN-L)
- 1361-6382
- OpenAlex
- W2141978587
- Cited by
- 455
- References
- 25
- FWCI
- 3.00
- Type
- journal article
- Language
- en
- Open access
- green
About these checks
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.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Action functionals for relativistic perfect fluids. https://app.cochat.ai/papers/10.1088/0264-9381/10/8/017
- The paper
- Brown, J. D. (1993). Action functionals for relativistic perfect fluids. Classical and Quantum Gravity. https://doi.org/10.1088/0264-9381/10/8/017
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.