A Newman-Penrose calculator for instanton metrics

Tolga Birkandan

doi:10.1142/S0129183108012807

A Newman-Penrose calculator for instanton metrics

Tolga Birkandan^*

^*Corresponding author for this work

Department of Physics Engineering

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

3 Citations (Scopus)

Abstract

We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose 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.

Original language	English
Pages (from-to)	1277-1290
Number of pages	14
Journal	International Journal of Modern Physics C
Volume	19
Issue number	8
DOIs	https://doi.org/10.1142/S0129183108012807
Publication status	Published - Aug 2008

Funding

The author would like to express his sincere thanks to Prof. Mahmut Horta¸csu for help and support and Profs. Ay¸se H. Bilge and Ne¸se Özdemir for scientific assistance and Fuat İ. Vardarlı for technical assistance throughout this work. This work is supported by TUBITAK, the Scientific and Technological Council of Turkey.

Funders	Funder number
Scientific and Technological Council of Turkey
TUBITAK

Keywords

Gravitational instantons
Newman-Penrose formalism
Symbolic computation

Access to Document

10.1142/S0129183108012807

Cite this

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title = "A Newman-Penrose calculator for instanton metrics",

abstract = "We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose 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.",

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AB - We present a Maple11+GRTensorII based symbolic calculator for instanton metrics using NewmanPenrose formalism. Gravitational instantons are exact solutions of Einstein's vacuum field equations with Euclidean signature. The NewmanPenrose 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.

KW - Gravitational instantons

KW - Newman-Penrose formalism

KW - Symbolic computation

UR - https://www.scopus.com/pages/publications/52949150860

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DO - 10.1142/S0129183108012807

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A Newman-Penrose calculator for instanton metrics

Abstract

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Keywords

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