The existence of gradient Yamabe solitons on spacetimes
Date
2022-10
Authors
Editor(s)
Advisor
Supervisor
Co-Advisor
Co-Supervisor
Instructor
BUIR Usage Stats
1
views
views
64
downloads
downloads
Citation Stats
Series
Abstract
The main aim of the present article is to study generalized quasi-Yamabe gradient solitons on warped product manifolds. First, we obtain some necessary and sufficient conditions for the existence of generalized quasi-Yamabe gradient solitons equipped on a warped product structure. Then we study some important applications in the Lorentzian and the neutral settings for the particular class, called as gradient Yamabe soliton. More explicitly, we prove the existence of the non-trivial gradient Yamabe soliton on generalized Robertson–Walker spacetimes, standard static spacetimes, Walker manifolds and pp-wave spacetimes. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
Source Title
Results in Mathematics
Publisher
Springer
Course
Other identifiers
Book Title
Degree Discipline
Degree Level
Degree Name
Citation
Permalink
Published Version (Please cite this version)
Collections
Language
English