Gradient Einstein-type spacetimes and modified gravity

Füsun Özen Zengin; Uday Chand De; Sezgin Altay Demirbag

doi:10.1007/s12648-025-03591-3

Gradient Einstein-type spacetimes and modified gravity

Füsun Özen Zengin^*, Uday Chand De, Sezgin Altay Demirbag

^*Corresponding author for this work

Department of Mathematics Engineering

University of Calcutta

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

Abstract

In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying f(R, T) and f(R,Lm) gravity theories. Finally, in the cosmological context we find some remarkable results.

Original language	English
Article number	032501
Journal	Indian Journal of Physics
DOIs	https://doi.org/10.1007/s12648-025-03591-3
Publication status	Accepted/In press - 2025

Bibliographical note

Publisher Copyright:
© The Author(s) 2025.

Keywords

Dark matter era
Energy density
Generalized Robertson-Walker spacetime
Gradient Einstein-type spacetime
Isotropic pressure
Modified gravity
Parallel vector field
Perfect fluid
Phantom era
Roberton-Walker spacetime

Access to Document

10.1007/s12648-025-03591-3

Cite this

@article{816068a6e31347909f10885afa5a27a3,

title = "Gradient Einstein-type spacetimes and modified gravity",

abstract = "In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying f(R, T) and f(R,Lm) gravity theories. Finally, in the cosmological context we find some remarkable results.",

keywords = "Dark matter era, Energy density, Generalized Robertson-Walker spacetime, Gradient Einstein-type spacetime, Isotropic pressure, Modified gravity, Parallel vector field, Perfect fluid, Phantom era, Roberton-Walker spacetime",

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

note = "Publisher Copyright: {\textcopyright} The Author(s) 2025.",

year = "2025",

doi = "10.1007/s12648-025-03591-3",

language = "English",

journal = "Indian Journal of Physics",

issn = "0973-1458",

publisher = "Indian Physical Society",

}

TY - JOUR

T1 - Gradient Einstein-type spacetimes and modified gravity

AU - Zengin, Füsun Özen

AU - Chand De, Uday

AU - Altay Demirbag, Sezgin

N1 - Publisher Copyright: © The Author(s) 2025.

PY - 2025

Y1 - 2025

N2 - In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying f(R, T) and f(R,Lm) gravity theories. Finally, in the cosmological context we find some remarkable results.

AB - In this work, at first, we investigate gradient Einstein-type spacetimes. After that, we study the properties of a gradient Einstein-type spacetime admitting a parallel vector field. In the next parts, we present a systematic study about gradient Einstein-type spacetime obeying f(R, T) and f(R,Lm) gravity theories. Finally, in the cosmological context we find some remarkable results.

KW - Dark matter era

KW - Energy density

KW - Generalized Robertson-Walker spacetime

KW - Gradient Einstein-type spacetime

KW - Isotropic pressure

KW - Modified gravity

KW - Parallel vector field

KW - Perfect fluid

KW - Phantom era

KW - Roberton-Walker spacetime

UR - http://www.scopus.com/inward/record.url?scp=105002357086&partnerID=8YFLogxK

U2 - 10.1007/s12648-025-03591-3

DO - 10.1007/s12648-025-03591-3

M3 - Article

AN - SCOPUS:105002357086

SN - 0973-1458

JO - Indian Journal of Physics

JF - Indian Journal of Physics

M1 - 032501

ER -

Gradient Einstein-type spacetimes and modified gravity

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this