Quick search Find article
Quick search
Find article

Towards standard testbeds for numerical relativity

Miguel Alcubierre1, Gabrielle Allen2, Carles Bona3, David Fiske4, Tom Goodale2, F Siddhartha Guzmán2, Ian Hawke2, Scott H Hawley5, Sascha Husa2, Michael Koppitz2, Christiane Lechner2, Denis Pollney2, David Rideout2, Marcelo Salgado1, Erik Schnetter6, Edward Seidel2, Hisa-aki Shinkai7, Deirdre Shoemaker8, Béla Szilágyi9, Ryoji Takahashi10 and Jeff Winicour2,9

Show affiliations


In recent years, many different numerical evolution schemes for Einstein's equations have been proposed to address stability and accuracy problems that have plagued the numerical relativity community for decades. Some of these approaches have been tested on different spacetimes, and conclusions have been drawn based on these tests. However, differences in results originate from many sources, including not only formulations of the equations, but also gauges, boundary conditions, numerical methods and so on. We propose to build up a suite of standardized testbeds for comparing approaches to the numerical evolution of Einstein's equations that are designed to both probe their strengths and weaknesses and to separate out different effects, and their causes, seen in the results. We discuss general design principles of suitable testbeds, and we present an initial round of simple tests with periodic boundary conditions. This is a pivotal first step towards building a suite of testbeds to serve the numerical relativists and researchers from related fields who wish to assess the capabilities of numerical relativity codes. We present some examples of how these tests can be quite effective in revealing various limitations of different approaches, and illustrating their differences. The tests are presently limited to vacuum spacetimes, can be run on modest computational resources and can be used with many different approaches used in the relativity community.


PACS

04.25.D- Numerical relativity

04.40.Nr Einstein-Maxwell spacetimes, spacetimes with fluids, radiation or classical fields

MSC

83C35 Gravitational waves

83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)

Subjects

Gravitation and cosmology

Dates

Issue 2 (21 January 2004)

Received 5 May 2003

Published 10 December 2003



  1. Towards standard testbeds for numerical relativity

    Miguel Alcubierre et al 2004 Class. Quantum Grav. 21 589

  2. Perfect fluids and Ashtekar variables, with applications to Kantowski-Sachs models

    L Bombelli and R J Torrence 1990 Class. Quantum Grav. 7 1747

  3. On the concepts of Lie and covariant derivatives of spinors: part II

    D J Hurley and M A Vandyck 1994 J. Phys. A: Math. Gen. 27 5941

  4. A novel derivation for Kerr metric in Papapetrou gauge

    Roberto Bergamini and Stefano Viaggiu 2004 Class. Quantum Grav. 21 4567

  5. One-loop f(R) gravity in de Sitter universe

    Guido Cognola et al JCAP02(2005)010

  6. QED renormalization given in a mass-dependent subtraction and the renormalization group approach

    Jun-Chen Su et al 1999 J. Phys. G: Nucl. Part. Phys. 25 2325

  7. Deflection of highly relativistic particles in a gravitational field

    C Barrabès and P A Hogan 2004 Class. Quantum Grav. 21 405

  8. Bell-type quantum field theories

    Detlef Dürr et al 2005 J. Phys. A: Math. Gen. 38 R1

  9. Advances in data reduction of high-pressure x-ray powder diffraction data from two-dimensional detectors: a case study of schafarzikite (FeSb2O4)

    B Hinrichsen et al 2006 J. Phys.: Condens. Matter 18 S1021

  10. Group averaging for de Sitter free fields

    Donald Marolf and Ian A Morrison 2009 Class. Quantum Grav. 26 235003

Users also read

What's this?
This innovative new feature generates a list of articles 'also read' by other users based on them reading the original article. Article abstracts citations and references are all considered and weighted accordingly. We hope that this will help you find relevant papers for your research.

  1. Implementation of standard testbeds for numerical relativity

View by subject




Export








Please login to access our web services, or create an account if you don't yet have one.

You must have cookies enabled in your web browser to be able to login.

Username
Password

Forgotten your password? Get a new one here.