INVESTIGATIONS ON SPECIAL SOLITONS FOR A GRADIENT EINSTEIN-TYPE SPACETIME

Sezgin Altay Demirbag; Uday Chand De; Füsun Özen Zengin

doi:10.7546/giq-29-2024-23-34

INVESTIGATIONS ON SPECIAL SOLITONS FOR A GRADIENT EINSTEIN-TYPE SPACETIME

Sezgin Altay Demirbag, Uday Chand De, Füsun Özen Zengin

Department of Mathematics Engineering

University of Calcutta

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

In this paper, we study on a gradient Einstein-type spacetime. Under what special conditions such spacetimes will be transformed into solitons of special type are among the other topics of this study. Considering a gradient Einstein-type spacetime with a parallel vector field, we establish the subsequent results.

Original language	English
Pages (from-to)	23-34
Number of pages	12
Journal	Geometry, Integrability and Quantization
Volume	29
DOIs	https://doi.org/10.7546/giq-29-2024-23-34
Publication status	Published - Sept 2024

Bibliographical note

Publisher Copyright:
© 2024 Bulgarska Akademiya na Naukite. All rights reserved.

Keywords

Cotton tensor
gradient Einstein-type manifold
perfect fluid spacetime
Ricci soliton
Weyl tensor

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10.7546/giq-29-2024-23-34

Cite this

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abstract = "In this paper, we study on a gradient Einstein-type spacetime. Under what special conditions such spacetimes will be transformed into solitons of special type are among the other topics of this study. Considering a gradient Einstein-type spacetime with a parallel vector field, we establish the subsequent results.",

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KW - gradient Einstein-type manifold

KW - perfect fluid spacetime

KW - Ricci soliton

KW - Weyl tensor

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INVESTIGATIONS ON SPECIAL SOLITONS FOR A GRADIENT EINSTEIN-TYPE SPACETIME

Abstract

Bibliographical note

Keywords

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