Journal of Advanced Mathematical Modeling

Journal of Advanced Mathematical Modeling

HOMOGENEOUS GENERALIZED RICCI SOLITONS ON THE LANCZOS UNIVERSE

Document Type : Original Paper

Authors
Amirhesam Zaeim 1
Ghasem Forozani 2
Maryam Darvishzadeh 2
1 Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran.
2 Department of Physics, Payame Noor University (PNU), P. O. Box 19395-4697, Tehran, Iran.
10.22055/jamm.2025.50048.2379
Abstract
This work is devoted to the study of Killing vector fields associated with Friedmann–Lemaître–Robertson–Walker (FLRW) spacetimes. After establishing the general properties of these symmetries, we narrow our attention to a distinguished subclass of FLRW models, known as the Lanczos universe. For this particular family of homogeneous spacetimes, we develop an algebraic description that captures their essential geometric structure. Utilizing this algebraic perspective, we further explore the

existence and properties of generalized Ricci solitons within the framework of Lanczos spacetimes.
Keywords
Generalized Ricci solitons
FLRW spacetimes
Lanczos universe
Homogeneous space
Subjects
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  • Receive Date 29 June 2025
  • Revise Date 14 October 2025
  • Accept Date 17 December 2025