Numerical relativity : solving Einstein's equations on the computer / Thomas W. Baumgarte and Stuart L. Shapiro.

Format:

Book

Author/Creator:

Baumgarte, Thomas W., author.

Shapiro, Stuart L. (Stuart Louis), 1947- author.

Language:

English

Subjects (All):

General relativity (Physics).

Einstein field equations.

Numerical calculations.

Physical Description:

1 online resource (xviii, 698 pages) : digital, PDF file(s).

Place of Publication:

Cambridge : Cambridge University Press, 2010.

Language Note:

English

Summary:

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.

Contents:

General relativity preliminaries

The 3 + 1 decomposition of Einstein's equations

Constructing initial data

Choosing coordinates : the lapse and shift

Matter sources

Numerical methods

Locating black hole horizons

Spherically symmetric spacetimes

Gravitational waves

Collapse of collisionless clusters in axisymmetry

Recasting the evolution equations

Binary black hole initial data

Binary black hole evolution

Rotating stars

Binary neutron star initial data

Binary neutron star evolution

Binary black hole-neutron stars : initial data and evolution.

Notes:

Title from publisher's bibliographic system (viewed on 05 Oct 2015).

Includes bibliographical references (p. 647-683) and index.

ISBN:

1-107-20620-0

1-139-63599-9

1-139-19334-1

1-282-72480-0

9786612724800

0-511-72747-X

0-511-72842-5

0-511-72937-5

0-511-72607-4

0-511-72466-7

OCLC:

761647179