Relativistic Hydrodynamics

Erscheinungsjahr 2013
ISBN: 978-0-19-852890-6
Verlag: Oxford University Press, USA

Buch, Englisch, 752 Seiten, Format (B × H): 174 mm x 251 mm, Gewicht: 1611 g

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 the mathematical 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 relativistic hydrodynamics, 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 the material 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.

Zielgruppe

Graduate and post-graduate students, professors, lecturers, and researchers in astrophysics, particle physics, and applied mathematics.

Autoren/Hrsg.

Rezzolla, Luciano

Zanotti, Olindo

Fachgebiete

• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Physik Quantenphysik Teilchenphysik
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Naturwissenschaften Physik Quantenphysik Relativität, Gravitation
• Naturwissenschaften Astronomie Astrophysik

Inhaltsverzeichnis

Part I The Physics of Relativistic Hydrodynamics
1: A Brief Review of General Relativity
2: A Kinetic-Theory Description of Fluids
3: Relativistic Perfect Fluids
4: Linear and Nonlinear Hydrodynamical Waves
5: Reaction Fronts: Detonations and Deflagrations
6: Relativistic Non-Perfect Fluids
Part II Numerical Relativistic Hydrodynamics
7: Formulations of the Einstein-Euler Equations
8: Numerical Relativistic-Hydrodynamics: Finite-Difference Methods
9: Numerical Relativistic-Hydrodynamics: HRSC Methods
10: Numerical Relativistic-Hydrodynamics: High-Order Methods
Part III Applications of Relativistic Hydrodynamics
11: Relativistic Hydrodynamics of Non-Selfgravitating Fluids
12: Relativistic Hydrodynamics of Selfgravitating Fluids
Appendix A: Geometrized System of Units
Appendix B: Notable Thermodynamical Expressions
Appendix C: Notable Tensors
Appendix D: Common Practices in Numerical Relativistic Hydrodynamics
Appendix E: Numerical Building Blocks

Über Autor(innen)

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. From 2006 to 2013 he joined the Albert Einstein Institute in Potsdam (Max-Planck Institute for gravitational physics) as the Head of the Numerical-Relativity Research. Since
2013 he is Chair of Theoretical Relativistic Astrophysics at the Institute of Theoretical Physics in Frankfurt. 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.