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Relativistic Hydrodynamics Hardcover – December 1, 2013

ISBN-13: 978-0198528906 ISBN-10: 0198528906 Edition: 1st
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Editorial Reviews


"This book covers a long missing gap in the scientific literature. It provides a didactic, coherent description of Relativistic Hydrodynamics, a subject that falls between relativity and hydrodynamics, and as such missed by textbooks in either field. A good grasp of relativistic hydrodynamics is essential for students and researchers working in relativistic astrophysics, one of the most flourishing branches of astrophysics today. In addition to providing a clear and broad exposition of the theoretical foundation, the book covers extensively numerical methods as well as applications to a variety of astronomical phenomena ranging from relativistic jets to neutron star binaries." -- Tsvi Piran, Racah Institute of Physics

"Relativistic hydrodynamics is an essential tool for astrophysicists and cosmologists in their quest to understand the universe. For many years, they have needed a modern text that introduces the subject pedagogically, and carries the reader to the level of maturity required for modern research. This book, at last, fills this need, and it does so superbly. It is likely to be the definitive book on the subject for many years to come." -- Kip S. Thorne, California Institute of Technology

"This impressive work will doubtlessly be of great use for many people working in relativistic hydrodynamics, be it students or more experienced researchers." -- Ewald Mueller, Max Planck Institute for Astrophysics

"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

"This book provides, with an impressive breadth and depth, a clear view of the mathematics, numerical methods, and applications of general relativistic hydrodynamics, featuring advanced topics on reaction fronts and non-ideal fluids as well as a comprehensive review of high-resolution shock-capturing methods. It is destined to become a necessity for anyone teaching, studying, or working in this field." -- Pablo Laguna, Center for Relativistic Astrophysics, Georgia Institute of Technology

"Such a book was by all means missing and will fill a gap in the existing literature. Being major actors in the field of relativistic hydrodynamics, the authors have performed the tour de force of providing both a very pedagogical in-depth introduction to the subject and a captivating presentation of the latest results in this active area of contemporary research. This book is undoubtedly devoted to become the standard reference in the field." -- Eric Gourgoulhon, CNRS, Observatoire de Paris

"This is a well-written book for students and researchers alike. Throughout the book the balance between physical description, mathematical formalism, and illustrative application is well-maintained. There is a nice set of problems to accompany the text. The volume serves as a solid introductory survey either for a course devoted to this topic, or timely supplementary reading for broader courses in general relativity or relativistic astrophysics. It also provides a useful, well-organized reference for active researchers in the field." -- Stuart L. Shapiro, University of Illinois at Urbana-Champaign

"This is a comprehensive and well-presented survey of the subject area which will be particularly useful for researchers just starting to work in it, as well as providing an invaluable reference resource for others." -- John Miller, University of Oxford

"The astrophysical content covered in this book is of the greatest importance for both advanced undergraduate and graduate students. Its reading should be compulsory for PhD students and researchers seeking to earn a deeper and broader vision of those astrophysical scenarios governed by relativistic hydrodynamical processes. The book will be of interest to astrophysicists, nuclear physicists, and applied mathematicians alike. The degree of clarity and pedagogy revealed throughout the pages of this book is an irrefutable signature of the expertise of the authors. I am convinced it will become a classic in the field." -- Jose-Maria Ibanez, University of Valencia

"A beautiful and complete textbook that will prove to be extremely useful for anyone interested in the field of relativistic hydrodynamics." -- Miguel Alcubierre, National Autonomous University of Mexico

About the Author

Luciano Rezzolla, Head of Numerical Relativity, Albert Einstein Institute, Max Planck Institute for Gravitational Physics, Potsdam,Olindo Zanotti, Research Associate, University of Trento

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 Einstein Institute as the Head of the Numerical-Relativity Research. He has worked in several areas of relativistic hydrodynamics and relativistic astrophysics, ranging from the investigation of fundamental issues to the construction of advanced numerical codes for the simulation of sources of gravitational waves.

Olindo Zanotti received his PhD is Astrophysics in 2002 at the International School for Advanced Studies (SISSA) in Trieste. Since then he has worked as Research Associate at the University of Valencia (Spain), at the University of Florence (Italy), at the Notre Dame University (USA), and at the Albert Einstein Institute (Germany). His specific interests include accretion-disc physics, plasma physics, and numerical methods for the solution of hyperbolic equations. He is presently carrying out research at the University of Trento.

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Product Details

  • Hardcover: 752 pages
  • Publisher: Oxford University Press; 1 edition (December 1, 2013)
  • Language: English
  • ISBN-10: 0198528906
  • ISBN-13: 978-0198528906
  • Product Dimensions: 9.7 x 1.7 x 6.8 inches
  • Shipping Weight: 3.5 pounds (View shipping rates and policies)
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (3 customer reviews)
  • Amazon Best Sellers Rank: #1,184,555 in Books (See Top 100 in Books)

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Most Helpful Customer Reviews

4 of 4 people found the following review helpful By Dr. Carlo N. Colacino on January 16, 2014
Format: Hardcover
This is a fundamental book, the ultimate reference for those who want to learn relativistic hydrodinamics. The books starts with a very thorough review of General Relativity (GR), it is not intended as a textbook for GR, but the review is well done and complete. Afterwards the authors deal with the many physical processes where both GR and hydrodynamics play a role. The theory is complete, very well explained, mathematically rigorous but not heavy nor boring. I myself was probably expecting more pages on computer codes currently used nowadays for numerical simulations of complicated astrophysical processes, but this is the only minor shortcoming of this book. Excellent work, which is about to become the reference book for the next 20 years, a must for all those researchers who work in this area and for everyone interested in learning the subject.
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3 of 3 people found the following review helpful By Revanchist on September 3, 2014
Format: Hardcover
The fields of relativity and hydrodynamics are vast in their own right, and even their intersection constitutes a broad, multidisciplinary area. As a result, most texts on the subject have often focused primarily on 1-2 aspects, skimming over the other parts. This voluminous tome by Rezzolla & Zanotti provides a comprehensive treatment that is simultaneously classical (in the sense of following older monographs) and contemporary (up-to-date on the latest techniques).

It opens with a brief review of GR, which is somewhat utilitarian, but gets across all the points clearly, and develops the tools necessary in all the subsequent sections. Chapter 2 is one of the (many) gems in the book as it provides a lucid and self-contained description of kinetic theory, which underlies the theory of fluids. Particularly noteworthy is the extended discussion of the importance of the equation of state, and the many variants employed in the literature. Chapter 3 enters the core areas of the book - namely relativistic perfect fluids, and the section on irrotational fluids and the conservation laws is particularly noteworthy. Chapter 4 on waves is most welcome as not many texts treat this topic in detail and the discussion of shocks and the Riemann problem is well done. Chapter 5 on detonations is somewhat brief, and a more detailed (albeit Newtonian) treatment exists in the marvellous book by Zel'dovich and Raizer. Another unorthodox and timely topic presented is Chapter 6 that deals with non-perfect fluids, and the sections on causality and thermodynamics are highly commendable.

Part II of the book is really where the monograph sets itself apart from its predecessors. Chapter 7 opens with a neat account of the Einstein-Euler equations, and the discussion on the ADM formalism is well judged.
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1 of 1 people found the following review helpful By MARCELO MENDES DISCONZI on January 9, 2015
Format: Hardcover Verified Purchase
``Relativistic Hydrodynamics," by Luciano Rezzolla and Olindo Zanotti is a book that was much needed. It provides a solid, comprehensive, and up-to-date account of relativistic hydrodynamics. It will be extremely valuable to students interested in learning the subject, and to researches looking for a detailed discussion of the topic and/or a critical review of the current status of the field. In particular, an extensive bibliography is provided, and each chapter finishes with a list of further readings. Those interested in teaching a course on the theme (or on parts of it), will greatly benefit from using the book, which also includes a list of problems in each chapter.

The book is divided in three parts. Part I contains a full theoretical treatment of the topic (starting with a review of General Relativity which, albeit not intended to be a full introduction to Einstein's theory, can be very useful for those who are a little rusty), and includes, among other topics, the kinetic theory of fluids, relativistic perfect fluids, wave hydrodynamics, and non-perfect relativistic fluids. Part II is dedicated to numerical methods, and Part III focuses on applications.

As I am completely unacquainted with numerical methods of any sort, I shall not comment on the contents of Part II, except by saying that my impression of it, after skimming through a few of its chapters, is that it would likely be my first choice if I ever decided
to learn about such numerical treatments.

Although I am a mathematician, and I suppose that Rezzolla and Zanotti had in mind primarily an audience of physicists, I found the book quite readable and have no quarrels with the content exposition. The presentation develops in a logical fashion.
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