Open AccessEstimation of almost Ricci-Yamabe solitons on static spacetimes
Author(s) -
Mohd Danish Siddiqi,
De Chand Uday,
Sharief Deshmukh
Publication year - 2022
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil2202397s
Subject(s) - mathematics , yamabe flow , conformal map , vector field , mathematical physics , spacetime , mathematical analysis , ricci curvature , soliton , field (mathematics) , killing vector field , pure mathematics , physics , scalar curvature , geometry , quantum mechanics , curvature , nonlinear system , sectional curvature
This research work examines the standard static spacetime (SSST) in terms of almost Ricci-Yamabe soliton with conformal vector field. It is shown that almost Ricci-Yamabe soliton in standard static spacetime with function ? satisfies Poisson-Laplace equation. Next, we consider the function ? is harmonic and discuss the harmonic aspect of almost Ricci-Yamabe soliton on SSST. In addition, we investigate the nature of almost Ricci-Yamabe soliton on SSST with non-rotating Killing vector field. Also, we exhibit that non-steady non shrinking almost Ricci-Yamabe soliton i.e., ?? 0 on smooth, connected, and non-compact SSST with Killing vector field satisfies the Schr?dinger equation for a smooth function ?. Finally, we study almost Ricci-Yamabe soliton on static perfect fluid and vacuum static spacetime with conformal Killing vector field.