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Research Article | Open Access

Riemann solitons on spacetimes with pure radiation metrics

Rawan Bossly1, Shahroud Azami2( ), Dhriti Sundar Patra3, Abdul Haseeb1( )
Department of Mathematics, College of Science, Jazan University, P.O. Box. 114, Jazan 45142, Kingdom of Saudi Arabia
Department of pure Mathematics, Faculty of Science, Imam Khomeini International University, Qazvin, Iran
Department of Mathematics, Indian Institute of Technology Hyderabad, Sangareddy, Telangana, 502285, India
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Abstract

We investigate Riemann solitons within spacetimes characterized by pure radiation metrics that are conformally related to a vacuum spacetime. Additionally, it is shown that the Riemann solitons on spacetimes with pure radiation metrics are gradient Riemann solitons with a certain potential function. Moreover, we classify the potential vector fields of Riemann solitons as Ricci collineation, Killing, and Ricci bi-conformal.

Keywords

pure radiation metricsRiemann solitonRicci collineation
CLC number: 53C21, 53C44, 53E20

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AIMS Mathematics
Volume 10 Issue 8,
August 2025
Pages 18094-18107
DOI: 10.3934/math.2025806

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Cite this article:
Bossly R, Azami S, Patra DS, et al. Riemann solitons on spacetimes with pure radiation metrics. AIMS Mathematics, 2025, 10(8): 18094-18107. https://doi.org/10.3934/math.2025806

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Received: 11 April 2025
Revised: 24 July 2025
Accepted: 28 July 2025
Published: 15 August 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)