Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time

Davood Farrokhi; Rohollah Bakhshandeh-Chamazkoti; Mehdi Nadjafikhah

doi:10.22130/scma.2022.550731.1080

Sahand Communications in Mathematical Analysis (Sep 2022)

Conservation Laws and Moving Frame Method of Vaidya-Bonner Space-Time

Davood Farrokhi,
Rohollah Bakhshandeh-Chamazkoti,
Mehdi Nadjafikhah

Affiliations

Davood Farrokhi: Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.
Rohollah Bakhshandeh-Chamazkoti: Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran.
Mehdi Nadjafikhah: School of Mathematics, Iran University of Science and Technology, Tehran, Iran.

DOI: https://doi.org/10.22130/scma.2022.550731.1080
Journal volume & issue: Vol. 19, no. 3
pp. 65 – 76

Abstract

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In the present paper, we compute the conservation laws of the Vaidya-Bonner geodesic space-time metric in aRiemannian space and carry out the moving frame method for this metric. We obtain the connection forms andcurvature 2-forms, using the first and second Cartan's structure equations. Finally, the Ricci scalar tensor and the components of Einstein curvature are calculated.

Published in Sahand Communications in Mathematical Analysis

ISSN: 2322-5807 (Print); 2423-3900 (Online)
Publisher: University of Maragheh
Country of publisher: Iran, Islamic Republic of
LCC subjects: Science: Mathematics
Website: http://scma.maragheh.ac.ir/

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