The DOI matches its Crossref record; 20 of the 20 references it cites were found in a registry or an index.
Relativistic Hydrodynamics
Abstract
The book provides a lively and approachable introduction to the main concepts and techniques of relativistic hydrodynamics in a form which will appeal to physicists at advanced undergraduate and postgraduate levels. The book is divided into three parts. The first part deals with the physical aspects of relativistic hydrodynamics, touching on fundamental topics such as kinetic theory, equations of state, mathematical aspects of hyperbolic partial differential equations, linear and nonlinear waves in fluids, reaction fronts, and the treatment of non-ideal fluids. The second part provides an introductory but complete description of those numerical methods currently adopted in the solution of the relativistic-hydrodynamic equations. Starting from traditional finite-difference methods, modern high-resolution shock-capturing methods are discussed with special emphasis on Godunov upwind schemes based on Riemann solvers. High-order schemes are also treated, focusing on essentially non-oscillatory and weighted non-oscillatory methods, Galerkin methods and on modern ADER approaches. Finally, the third part of the book is devoted to applications and considers several physical and astrophysical systems for which relativistic hydrodynamics plays a crucial role. Several non-self-gravitating systems are first studied, including self-similar flows, relativistic blast waves, spherical flows onto a compact object, relativistic accreting disks, relativistic jets and heavy-ion collisions. Self-gravitating systems are also considered, from isolated stars, to more dynamical configurations such as the collapse to a black hole or the dynamics of binary systems. The book is especially recommended to astrophysicists, particle physicists and applied mathematicians.
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
Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
Riess, A. G., Filippenko, A. V., Challis, P., Clocchiatti, A., Diercks, A., Garnavich, P. M., Gilliland, R. L., Hogan, C. J., Jha, S., Kirshner, R. P., et al. (1998) · The Astronomical Journal · doi:10.1086/300499 · Cited by 19,704
Measurements of Ω and Λ from 42 High‐Redshift Supernovae
Perlmutter, S., Aldering, G., Goldhaber, G., Knop, R. A., Nugent, P., Castro, P. G., Deustua, S., Fabbro, S., Goobar, A., Groom, D. E., et al. (1999) · The Astrophysical Journal · doi:10.1086/307221 · Cited by 18,062
The Large Scale Structure of Space-Time
Hawking, S. W., & Ellis, G. F. R. (1973) · doi:10.1017/cbo9780511524646 · Cited by 10,624
Wald, R. M. (1984) · doi:10.7208/chicago/9780226870373.001.0001 · Cited by 7,188
Three‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Implications for Cosmology
Spergel, D. N., Bean, R., Dore, O., Nolta, M. R., Bennett, C. L., Dunkley, J., Hinshaw, G., Jarosik, N., Komatsu, E., Page, L., et al. (2007) · The Astrophysical Journal Supplement Series · doi:10.1086/513700 · Cited by 6,778
Highly relativistic nucleus-nucleus collisions: The central rapidity region
Bjorken, J. D. (1983) · Physical Review D · doi:10.1103/physrevd.27.140 · Cited by 2,796
An Approach to Gravitational Radiation by a Method of Spin Coefficients
Newman, E., & Penrose, R. (1962) · Journal of Mathematical Physics · doi:10.1063/1.1724257 · Cited by 2,702
Gravitational waves in general relativity, VII. Waves from axi-symmetric isolated system
Bondi, H., Van der Burg, M. G. J., & Metzner, A. W. K. (1962) · Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences · doi:10.1098/rspa.1962.0161 · Cited by 2,426
Relativistic Equations for Adiabatic, Spherically Symmetric Gravitational Collapse
Misner, C. W., & Sharp, D. H. (1964) · Physical Review · doi:10.1103/physrev.136.b571 · Cited by 1,700
Advection-dominated Accretion: Underfed Black Holes and Neutron Stars
Narayan, R., & Yi, I. (1995) · The Astrophysical Journal · doi:10.1086/176343 · Cited by 1,679
Cited by
First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
The Event Horizon Telescope Collaboration, Akiyama, K., Alberdi, A., Alef, W., Asada, K., Azulay, R., Baczko, A.-K., Ball, D., Baloković, M., Barrett, J., et al. (2019) · The Astrophysical Journal Letters · doi:10.3847/2041-8213/ab0f43 · Cited by 1,424
Self-citationThe current ability to test theories of gravity with black hole shadows
Mizuno, Y., Younsi, Z., Fromm, C. M., Porth, O., De Laurentis, M., Olivares, H., Falcke, H., Kramer, M., & Rezzolla, L. (2018) · Nature Astronomy · doi:10.1038/s41550-018-0449-5 · Cited by 292
Self-citationThe energy-momentum tensor for a dissipative fluid in general relativity
Pimentel, O. M., Lora-Clavijo, F. D., & González, G. A. (2016) · General Relativity and Gravitation · doi:10.1007/s10714-016-2121-7 · Cited by 49
Weih, L. R., Gabbana, A., Simeoni, D., Rezzolla, L., Succi, S., & Tripiccione, R. (2020) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/staa2575 · Cited by 34
Self-citation
Metadata
- Authors
- Rezzolla, L., & Zanotti, O.
- Publisher
- Oxford University PressOxford
- Published
- 2013-09-26
- OpenAlex
- W4299569975
- Cited by
- 811
- References
- 20
- FWCI
- 9.12
- Type
- book
- Language
- en
- Open access
- closed
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: Relativistic Hydrodynamics. https://app.cochat.ai/papers/10.1093/acprof:oso/9780198528906.001.0001
- The paper
- Rezzolla, L., & Zanotti, O. (2013). Relativistic Hydrodynamics. https://doi.org/10.1093/acprof%3Aoso/9780198528906.001.0001
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.
