Riemann solitons on spacetimes with pure radiation metrics
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.
Authors
- Abdul Haseeb (ORCID: https://orcid.org/0000-0002-1175-6423)
- Dhriti Sundar Patra (ORCID: https://orcid.org/0000-0002-7958-1690)
- Shahroud Azami (ORCID: https://orcid.org/0000-0002-8976-2014)
- Rawan Bossly
Institutions
- Indian Institute of Technology Hyderabad (IN)
- Imam Khomeini International University (IR)
- Jazan University (SA)
Publication Details
- Journal
- AIMS Mathematics
- Published
- 2025-01-01
- DOI
- https://doi.org/10.3934/math.2025806
- Citations
- 1
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 3.73