Frontiers in Numerical Relativity
Title | Frontiers in Numerical Relativity PDF eBook |
Author | Charles R. Evans |
Publisher | Cambridge University Press |
Total Pages | 451 |
Release | 1989-04-13 |
Genre | Mathematics |
ISBN | 0521366666 |
This 1989 text will be of value to those who wish to understand developments in computer studies of general relativity at the time of publication.
Invited Papers from the International Meeting on New Frontiers in Numerical Relativity, 2006
Title | Invited Papers from the International Meeting on New Frontiers in Numerical Relativity, 2006 PDF eBook |
Author | |
Publisher | |
Total Pages | |
Release | 2007 |
Genre | |
ISBN |
Frontiers in General Relativity
Title | Frontiers in General Relativity PDF eBook |
Author | Peter A. Hogan |
Publisher | Springer |
Total Pages | 246 |
Release | 2021-04-01 |
Genre | Science |
ISBN | 9783030693695 |
This book discusses some of the open questions addressed by researchers in general relativity. Photons and particles play important roles in the theoretical framework, since they are involved in analyzing and measuring gravitational fields and in constructing mathematical models of gravitational fields of various types. The authors highlight this aspect covering topics such as the construction of models of Bateman electromagnetic waves and analogous gravitational waves, the studies of gravitational radiation in presence of a cosmological constant and the gravitational compass or clock compass for providing an operational way of measuring a gravitational field. The book is meant for advanced students and young researchers in general relativity, who look for an updated text which covers in depth the calculations and, equally, takes on new challenges. The reader, along the learning path, is stimulated by provocative examples interspersed in the text that help to find novel representations of the uses of particles and photons.
Numerical Relativity
Title | Numerical Relativity PDF eBook |
Author | Masaru Shibata |
Publisher | World Scientific |
Total Pages | 844 |
Release | 2015-11-05 |
Genre | Science |
ISBN | 9814699748 |
This book is composed of two parts: First part describes basics in numerical relativity, that is, the formulations and methods for a solution of Einstein's equation and general relativistic matter field equations. This part will be helpful for beginners of numerical relativity who would like to understand the content of numerical relativity and its background. The second part focuses on the application of numerical relativity. A wide variety of scientific numerical results are introduced focusing in particular on the merger of binary neutron stars and black holes.
Numerical Relativity: Starting from Scratch
Title | Numerical Relativity: Starting from Scratch PDF eBook |
Author | Thomas W. Baumgarte |
Publisher | Cambridge University Press |
Total Pages | 235 |
Release | 2021-04-08 |
Genre | Mathematics |
ISBN | 1108844111 |
A pedagogical and accessible introduction to numerical relativity, the key tool to model gravitational waves and black hole mergers.
Elements of Numerical Relativity
Title | Elements of Numerical Relativity PDF eBook |
Author | Carles Bona |
Publisher | Springer Science & Business Media |
Total Pages | 168 |
Release | 2005-07-07 |
Genre | Science |
ISBN | 9783540257790 |
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.
Numerical Relativity: Starting from Scratch
Title | Numerical Relativity: Starting from Scratch PDF eBook |
Author | Thomas W. Baumgarte |
Publisher | Cambridge University Press |
Total Pages | 235 |
Release | 2021-04-08 |
Genre | Science |
ISBN | 1108945171 |
Numerical relativity has emerged as the key tool to model gravitational waves - recently detected for the first time - that are emitted when black holes or neutron stars collide. This book provides a pedagogical, accessible, and concise introduction to the subject. Relying heavily on analogies with Newtonian gravity, scalar fields and electromagnetic fields, it introduces key concepts of numerical relativity in a context familiar to readers without prior expertise in general relativity. Readers can explore these concepts by working through numerous exercises, and can see them 'in action' by experimenting with the accompanying Python sample codes, and so develop familiarity with many techniques commonly employed by publicly available numerical relativity codes. This is an attractive, student-friendly resource for short courses on numerical relativity, as well as providing supplementary reading for courses on general relativity and computational physics.