Problems of Collapse and Numerical Relativity
Title | Problems of Collapse and Numerical Relativity PDF eBook |
Author | D. Bancel |
Publisher | Springer Science & Business Media |
Total Pages | 384 |
Release | 2012-12-06 |
Genre | Science |
ISBN | 9400964609 |
Proceedings of the NATO Advanced Research Workshop, Toulouse, France, November 7-11, 1983
Numerical Relativity
Title | Numerical Relativity PDF eBook |
Author | Thomas W. Baumgarte |
Publisher | Cambridge University Press |
Total Pages | 717 |
Release | 2010-06-24 |
Genre | Science |
ISBN | 1139643177 |
Aimed at students and researchers entering the field, this pedagogical introduction to numerical relativity will also interest scientists seeking a broad survey of its challenges and achievements. Assuming only a basic knowledge of classical general relativity, the book develops the mathematical formalism from first principles, and then highlights some of the pioneering simulations involving black holes and neutron stars, gravitational collapse and gravitational waves. The book contains 300 exercises to help readers master new material as it is presented. Numerous illustrations, many in color, assist in visualizing new geometric concepts and highlighting the results of computer simulations. Summary boxes encapsulate some of the most important results for quick reference. Applications covered include calculations of coalescing binary black holes and binary neutron stars, rotating stars, colliding star clusters, gravitational and magnetorotational collapse, critical phenomena, the generation of gravitational waves, and other topics of current physical and astrophysical significance.
Scalar Fields in Numerical General Relativity
Title | Scalar Fields in Numerical General Relativity PDF eBook |
Author | Katy Clough |
Publisher | Springer |
Total Pages | 197 |
Release | 2018-06-16 |
Genre | Science |
ISBN | 3319926721 |
This book explores the use of numerical relativity (NR) methods to solve cosmological problems, and describes one of the first uses of NR to study inflationary physics. NR consists in the solution of Einstein’s Equation of general relativity, which governs the evolution of matter and energy on cosmological scales, and in systems where there are strong gravitational effects, such as around black holes. To date, NR has mainly been used for simulating binary black hole and neutron star mergers like those detected recently by LIGO. Its use as a tool in fundamental problems of gravity and cosmology is novel, but rapidly gaining interest. In this thesis, the author investigates the initial condition problem in early universe cosmology – whether an inflationary expansion period could have “got going” from initially inhomogeneous conditions – and identifies criteria for predicting the robustness of particular models. State-of-the-art numerical relativity tools are developed in order to address this question, which are now publicly available.
Literature 1984, Part 2
Title | Literature 1984, Part 2 PDF eBook |
Author | S. Böhme |
Publisher | Springer Science & Business Media |
Total Pages | 928 |
Release | 2013-04-17 |
Genre | Science |
ISBN | 3662123460 |
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.
Dynamical Spacetimes and Numerical Relativity
Title | Dynamical Spacetimes and Numerical Relativity PDF eBook |
Author | Joan M. Centrella |
Publisher | CUP Archive |
Total Pages | 488 |
Release | 1986-09-18 |
Genre | Science |
ISBN | 9780521328609 |
Numerical Relativity
Title | Numerical Relativity PDF eBook |
Author | Thomas W. Baumgarte |
Publisher | Cambridge University Press |
Total Pages | 717 |
Release | 2010-06-24 |
Genre | Science |
ISBN | 052151407X |
Pedagogical introduction to numerical relativity for students and researchers entering the field, and interested scientists.