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

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

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10.7546/giq-29-2024-23-34

Cite this

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title = "INVESTIGATIONS ON SPECIAL SOLITONS FOR A GRADIENT EINSTEIN-TYPE SPACETIME",

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.",

keywords = "Cotton tensor, Ricci soliton, Weyl tensor, gradient Einstein-type manifold, perfect fluid spacetime",

author = "Demirbag, \{Sezgin Altay\} and De, \{Uday Chand\} and Zengin, \{F{\"u}sun {\"O}zen\}",

year = "2024",

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language = "English",

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journal = "Geometry, Integrability and Quantization",

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AU - Demirbag, Sezgin Altay

AU - De, Uday Chand

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AB - 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.

KW - Cotton tensor

KW - Ricci soliton

KW - Weyl tensor

KW - gradient Einstein-type manifold

KW - perfect fluid spacetime

UR - https://www.scopus.com/pages/publications/85210964159

U2 - 10.7546/giq-29-2024-23-34

DO - 10.7546/giq-29-2024-23-34

M3 - Article

AN - SCOPUS:85210964159

SN - 1314-3247

VL - 29

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EP - 34

JO - Geometry, Integrability and Quantization

JF - Geometry, Integrability and Quantization

ER -

INVESTIGATIONS ON SPECIAL SOLITONS FOR A GRADIENT EINSTEIN-TYPE SPACETIME

Abstract

Bibliographical note

Keywords

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