Relativistic Hydrodynamics

Hardcover | October 26, 2013

byLuciano Rezzolla, Olindo Zanotti

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Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to themathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistichydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid thematerial in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions).It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.

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Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to themathematical formalism, numerical techniques, a...

Luciano Rezzolla received his PhD in Astrophysics in 1997 at International School for Advanced Studies (SISSA) in Trieste. After being a Research Associate at the University of Illinois at Urbana-Champaign, he returned to SISSA in 1999 as Associate Professor and Director of the Computing Centre. Since 2006 he has joined the Albert Ein...
Format:HardcoverDimensions:744 pages, 9.69 × 6.73 × 0.01 inPublished:October 26, 2013Publisher:Oxford University PressLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:0198528906

ISBN - 13:9780198528906

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Table of Contents

Part I: The Physics of Relativistic Hydrodynamics1. A Brief Review of General Relativity2. A Kinetic-Theory Description of Fluids3. Relativistic Perfect Fluids4. Linear and Nonlinear Hydrodynamical Waves5. Reaction Fronts: Detonations and Deflagrations6. Relativistic Non-Perfect FluidsPart II: Numerical Relativistic Hydrodynamics7. Formulations of the Einstein-Euler Equations8. Numerical Relativistic-Hydrodynamics: Finite-Difference Methods9. Numerical Relativistic-Hydrodynamics: HRSC Methods10. Numerical Relativistic-Hydrodynamics: High-Order MethodsPart III: Applications of Relativistic Hydrodynamics11. Relativistic Hydrodynamics of Non-Selfgravitating Fluids12. Relativistic Hydrodynamics of Selfgravitating FluidsAppendix A: Geometrized System of UnitsAppendix B: Notable Thermodynamical ExpressionsAppendix C: Notable TensorsAppendix D: Common Practices in Numerical Relativistic HydrodynamicsAppendix E: Numerical Building Blocks

Editorial Reviews

"The book is an excellent introduction to the topic of relativistic hydrodynamics, covering all aspects from kinetic theory to modern numerical applications in evolving spacetimes. Two leading experts in this field have provided the physical and astrophysical community with this rigorous,comprehensive, and up-to-date treatise, which I am sure will soon become a classic textbook for many advanced courses on high-energy physics and astrophysics." --Luca Del Zanna, Department of Physics and Astronomy, University of Florence