Ricci soliton vector fields of spherically symmetric static spacetimes

Tahirullah,; Ali, Ahmad T.; Khan, Suhail

doi:10.1142/s0217732321500140

Cited by 5 publications

(2 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Ali and Ahsan [21] compared RSVFs to the corresponding spacetime symmetries in general theory of relativity. Tahirullah et al [22] explored RSVFs of spherically symmetric static spacetimes. They proved that special classes of such metrics admit shrinking, expanding and steady Ricci solitons.…”

Section: Introductionmentioning

confidence: 99%

Ricci solitons on anisotropic fluid spacetime in f(R, T)-gravity

Khan,

Ali,

Gul

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

In this paper we study the behaviour of anisotropic ﬂuid spacetimes in f(R, T )-gravity for admitting Ricci Soliton. We obtain the form of tangential pressure of the ﬂuid for steady, shrinking and expanding Ricci soliton when Ricci soliton vector ﬁeld becomes a Killing vector ﬁeld. Modiﬁed Poisson and Liouville equations are derived from the Ricci soliton equation in f(R, T )-gravity having anisotropic ﬂuid. Also harmonic signiﬁcance of Ricci soliton on anisotropic ﬂuid spacetime in f(R, T )-gravity with a harmonic potential function is derived. We derive ﬁeld equations for perfect ﬂuid plane symmetric static spacetime and obtain their solutions. For each solution we then obtain Ricci soliton vector ﬁelds. We observe that such spacetimes admit expanding, shrinking or steady Ricci solitons. All the obtained solitons are trivial in nature. When these Ricci soliton vector ﬁelds become Killing vector ﬁelds then our results are in full agreement with the theorems deduced from our study.

show abstract

Section: Introductionmentioning

confidence: 99%

Ricci solitons on anisotropic fluid spacetime in f(R, T)-gravity

Khan,

Ali,

Gul

2023

Phys. Scr.

Self Cite

View full text Add to dashboard Cite

show abstract

“…These solitons are geometric equivalents of self-similar solutions that shed light on the idea of a manifold growing through a natural scaling transformation. For further information on Ricci solitons, see for instance [6,[8][9][10][11][12][13][14]29].…”

Section: Introductionmentioning

confidence: 99%

Existence of Ricci soliton vector fields on Vaidya spacetime

Khatri,

Chhakchhuak,

Lalduhawma

2023

Phys. Scr.

View full text Add to dashboard Cite

In this paper, we investigate the behaviour of the Vaidya spacetime admitting a Ricci soliton vector field, where we have found the expressions for the four components of the vector field, and we have shown, under this condition, that the spacetime reduces to the Schwarzschild spacetime. Moreover, we have found the desired expression for the potential function $h$ to satisfy in order for a gradient Ricci soliton vector field to exist on the Vaidya spacetime.

show abstract