Smart geodesic tracing in GRworkbench

Benjamin J.K. Evans; Susan M. Scott; Antony C. Searle

doi:10.1023/A:1020124324235

Smart geodesic tracing in GRworkbench

Benjamin J.K. Evans^*
, Susan M. Scott
, Antony C. Searle

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

We have developed a new tool for numerical work in General Relativity: GRworkbench. We discuss how GRworkbench's implementation of a numerically-amenable analogue to Differential Geometry facilitates the development of robust and chart-independent numerical algorithms. We consider, as an example, geodesic tracing on two charts covering the exterior Schwarzschild space-time.

Original language	English
Pages (from-to)	1675-1684
Number of pages	10
Journal	General Relativity and Gravitation
Volume	34
Issue number	10
DOIs	https://doi.org/10.1023/A:1020124324235
Publication status	Published - 2002

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title = "Smart geodesic tracing in GRworkbench",

abstract = "We have developed a new tool for numerical work in General Relativity: GRworkbench. We discuss how GRworkbench's implementation of a numerically-amenable analogue to Differential Geometry facilitates the development of robust and chart-independent numerical algorithms. We consider, as an example, geodesic tracing on two charts covering the exterior Schwarzschild space-time.",

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AB - We have developed a new tool for numerical work in General Relativity: GRworkbench. We discuss how GRworkbench's implementation of a numerically-amenable analogue to Differential Geometry facilitates the development of robust and chart-independent numerical algorithms. We consider, as an example, geodesic tracing on two charts covering the exterior Schwarzschild space-time.

KW - General relativity

KW - Geodesic equation

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U2 - 10.1023/A:1020124324235

DO - 10.1023/A:1020124324235

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JO - General Relativity and Gravitation

JF - General Relativity and Gravitation

IS - 10

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Smart geodesic tracing in GRworkbench

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