Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

De, Krishnendu; Khan, Mohammad Nazrul Islam; De, Uday Chand

doi:10.1016/j.heliyon.2024.e25702

Heliyon

2024

DOI: 10.1016/j.heliyon.2024.e25702

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Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

Krishnendu De,

Mohammad Nazrul Islam Khan,

Uday Chand De

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2024

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Cited by 2 publications

References 31 publications

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Contact GRA Solitons and Applications to General Relativity

Nayak,

Patra

2024

Mediterr. J. Math.

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Nayak,

Patra

2024

Mediterr. J. Math.

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$K$-Ricci-Bourguignon Almost Solitons

De,

2024

International Electronic Journal of Geometry

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We in this current article introduce and characterize a $K$-Ricci-Bourguignon almost solitons in perfect fluid spacetimes and generalized Robertson-Walker spacetimes. First, we demonstrate that if a perfect fluid spacetime admits a $K$-Ricci-Bourguignon almost soliton, then the integral curves produced by the velocity vector field are geodesics and the acceleration vector vanishes. Then we establish that if perfect fluid spacetimes permit a gradient $K$-Ricci-Bourguignon soliton with Killing velocity vector field, then either state equation of the perfect fluid spacetime is presented by $p=\frac{3-n}{n-1}\sigma$ , or the gradient $K$-Ricci-Bourguignon soliton is shrinking or expanding under some condition. Moreover, we illustrate that the spacetime represents a perfect fluid spacetime and the divergence of the Weyl tensor vanishes if a generalized Robertson-Walker spacetime admits a $K$-Ricci-Bourguignon almost soliton.

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Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons

Cited by 2 publications

References 31 publications

Contact GRA Solitons and Applications to General Relativity

Contact GRA Solitons and Applications to General Relativity

$K$-Ricci-Bourguignon Almost Solitons

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