Elements of Numerical Relativity
From Einstein`s Equations to Black Hole Simulations
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Beschreibung
Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Begins from the most basic insights and aspects of numerical relativity Develops coherent guidelines for the reliable and convenient selection of key aspects: evolution formalism, gauge, initial and boundary conditions This is the first introductory monograph at postgraduate level to explore this otherwise quite involved subject matter Offers numerous tests and applications that can be performed on a standard PC
Spurred by the current development of numerous large-scale projects for detecting gravitational radiation, with the aim to open a completely new window to the observable Universe, numerical relativity has become a major field of research over the past years. Indeed, numerical relativity is the standard approach when studying potential sources of gravitational waves, where strong fields and relativistic velocities are part of any physical scenario. This book can be considered a primer for both graduate students and non-specialist researchers wishing to enter the field. Starting from the most basic insights and aspects of numerical relativity, Elements of Numerical Relativity develops coherent guidelines for the reliable and convenient selection of each of the following key aspects: evolution formalism, gauge, initial and boundary conditions as well as various numerical algorithms. The tests and applications proposed in this book can be performed on a standard PC.
Autor*in
Carles Bona
Themen in »Elements of Numerical Relativity«
Einstein equations Gravity Potential Relativity Universe hyperbolic systems numerical relativity
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From the reviews:
"The present book is also interesting for and worth being read by researchers who are not at all interested in numerical relativity in the strict sense. … Several figures illustrate the numerical solutions found. References and index close this carefully presented and useful book." (Hans-Jürgen Schmidt, Zentralblatt MATH, Vol. 1078, 2006)
"This book gives an interesting insight into the work of the authors in the field of numerical relativity. It can also be regarded as an introduction to the field itself … . I am glad to recommend this book to anyone interested in an introduction into this field." (Bela Szilagyi, Mathematical Reviews, Issue 2007 b)
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