A Newman-Penrose calculator for instanton metrics

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Birkandan T.

INTERNATIONAL JOURNAL OF MODERN PHYSICS C, vol.19, no.8, pp.1277-1290, 2008 (SCI-Expanded)

• Publication Type: Article / Article
• Volume: 19 Issue: 8
• Publication Date: 2008
• Doi Number: 10.1142/s0129183108012807
• Journal Name: INTERNATIONAL JOURNAL OF MODERN PHYSICS C
• Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Page Numbers: pp.1277-1290
• Istanbul Technical University Affiliated: Yes

Abstract

We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using Newmann-Penrose formalism. Gravitational instantons are exact solutions of Einstein's vaccum field equations with Euclidean signature. The Newmann-Penrose formalism, which supplies a toolbox for studying the exact solutions of Einstein's field equations, was adopted to the instanton case and our code translates it for the computational use.