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Riemann Solitons on Homogeneous Siklos Spacetimes

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  • Mehdi Jafari
  • Amirhesam Zaeim
  • Adele Alemahdi

Abstract

In this paper, we investigate the properties of Riemann solitons on homogeneous Siklos spacetimes. Siklos spacetimes, which are special solutions to Einstein’s equations with a wave‐like potential, provide a suitable setting for studying the geometric properties of Riemann solitons. We first introduce the geometric structure of these spaces and then examine the conditions for the existence of Riemann solitons in this context. Our results indicate that the existence of such solitons depends on specific symmetries and curvature properties of these homogeneous spaces. Finally, explicit examples are presented, and their relevance to gravitational physics is discussed.

Suggested Citation

  • Mehdi Jafari & Amirhesam Zaeim & Adele Alemahdi, 2025. "Riemann Solitons on Homogeneous Siklos Spacetimes," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:4399596
    DOI: 10.1155/jom/4399596
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    1. Vahid Pirhadi & Ghodratallah Fasihi-Ramandi & Shahroud Azami, 2025. "Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi-Type," Journal of Mathematics, Hindawi, vol. 2025, pages 1-9, July.
    2. Noura Alhouiti & Soumendu Roy & Santu Dey & Fatemah Mofarreh & Akram Ali & Yanlin Li & Francisco J. Garcia-Pacheco, 2024. "Geometric Classifications of Perfect Fluid Space-Time Admit Conformal Ricci-Bourguignon Solitons," Journal of Mathematics, Hindawi, vol. 2024, pages 1-9, May.
    3. Vahid Pirhadi & Ghodratallah Fasihi-Ramandi & Shahroud Azami, 2025. "Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
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    1. Vahid Pirhadi & Ghodratallah Fasihi-Ramandi & Shahroud Azami, 2025. "Ricci Solitons and Generalized Ricci Solitons Whose Potential Vector Fields Are Jacobi‐Type," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).

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