Relativistic Hydrodynamics

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  • Edition: Reprint
  • Format: Paperback
  • Copyright: 2018-07-24
  • Publisher: Oxford University Press
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Author Biography

Luciano Rezzolla, Institute for Theoretical Physics, University of Frankfurt am Main, Germany,Olindo Zanotti, Department of Physics, University of Trento, Italy

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.

Table of Contents

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

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