Numerical Relativity: Starting from Scratch

Numerical relativity is a powerful tool to model gravitational waves, emitted when black holes or neutron stars collide. This book provides a pedagogical introduction to the subject, relying on analogies with Newtonian gravity, scalar fields, and electromagnetic fields. It offers exercises and Python sample codes to help readers explore and understand key concepts, making it an attractive resource for short courses on numerical relativity and general relativity.

Format: Paperback / softback
Length: 234 pages
Publication date: 08 April 2021
Publisher: Cambridge University Press

Numerical relativity has emerged as a groundbreaking tool for modeling gravitational waves, which were recently detected for the first time when black holes or neutron stars collide. This comprehensive book offers a pedagogical and accessible introduction to the subject, leveraging analogies with Newtonian gravity, scalar fields, and electromagnetic fields to explain key concepts in a familiar context for readers without prior expertise in general relativity. Through a series of exercises and hands-on experimentation with Python sample codes, readers can explore these concepts and gain practical familiarity with numerous techniques commonly employed in numerical relativity codes. Whether used as a resource for short courses on numerical relativity or as supplementary reading for courses on general relativity and computational physics, this book is an attractive and student-friendly tool that enhances understanding of this complex and fascinating field.

Numerical relativity has revolutionized our understanding of gravitational waves, which were recently detected for the first time when black holes or neutron stars collide. This breakthrough was made possible by the development of mathematical models that accurately describe the behavior of spacetime in the presence of massive objects. In this book, we provide a comprehensive and accessible introduction to numerical relativity, focusing on the key concepts and techniques that are essential for modeling gravitational waves. We begin by reviewing the foundations of general relativity, including the principles of spacetime, gravity, and electromagnetism, and then introduce the concept of numerical relativity. We discuss the methods used to solve the Einstein equations, which describe the behavior of spacetime in the presence of massive objects, and explore the properties of black holes, neutron stars, and other celestial objects that emit gravitational waves. Throughout the book, we use analogies and visualizations to make the concepts of numerical relativity more intuitive and accessible to readers without prior expertise in advanced mathematics. We also provide a range of exercises and problems to help readers practice and apply the knowledge gained. Whether you are a student, researcher, or enthusiast interested in the universe's mysteries, this book will provide you with a solid foundation in numerical relativity and help you unlock the secrets of gravitational waves.

Weight: 316g
Dimension: 153 x 229 x 17 (mm)
ISBN-13: 9781108928250