Geodesic
Estimation of almost Ricci-Yamabe solitons on static spacetimes
Filomat, Tome 36 (2022) no. 2, p. 397

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DOI

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 ψ satisfies Poisson-Laplace equation. Next, we consider the function ψ 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., λ ≥ 0 on smooth, connected, and non-compact SSST with Killing vector field satisfies the Schrödinger equation for a smooth function ψ. Finally, we study almost Ricci-Yamabe soliton on static perfect fluid and vacuum static spacetime with conformal Killing vector field
DOI : 10.2298/FIL2202397S
Classification : 53C44, 53B30, 53C50, 53C80
Keywords: Almost Ricci-Yamabe soliton, Standard static spacetime, conformal vector field, Einstein manifold 
Mohd Danish Siddiqi; Uday C; and De; Sharief Deshmukh. Estimation of almost Ricci-Yamabe solitons on static spacetimes. Filomat, Tome 36 (2022) no. 2, p. 397 . doi: 10.2298/FIL2202397S
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     author = {Mohd Danish Siddiqi and Uday C and and De and Sharief Deshmukh},
     title = {Estimation of almost {Ricci-Yamabe} solitons on static spacetimes},
     journal = {Filomat},
     pages = {397 },
     year = {2022},
     volume = {36},
     number = {2},
     doi = {10.2298/FIL2202397S},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2202397S/}
}
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