Investigation of space-times through W2-curvature tensor in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mi>f</mml:mi><mml:mrow><mml:mo stretchy="true">(</mml:mo><mml:mi>R</mml:mi><mml:mo>,</mml:mo><mml:mi mathvariant="script">G</mml:mi><mml:mo stretchy="true">)</mml:mo></mml:mrow></mml:math> gravity

Turki, Nasser Bin; De, Uday Chand; Syied, Abdallah Abdelhameed; Vîlcu, Gabriel-Eduard

doi:10.1016/j.geomphys.2023.104987

Journal of Geometry and Physics

2023

DOI: 10.1016/j.geomphys.2023.104987

|View full text |Cite

Investigation of space-times through W2-curvature tensor in f(R,G) gravity

Nasser Bin Turki,

Uday Chand De,

Abdallah Abdelhameed Syied

et al.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2024

Publication Types

Select...

Article2

Relationship

Self Cite0

Independent2

Authors

Journals

Cited by 2 publications

References 22 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Characterization of warped product manifolds through the W2-curvature tensor with applications to relativity

Syied,

De,

Turki

et al. 2024

Heliyon

View full text Add to dashboard Cite

Characterization of warped product manifolds through the W2-curvature tensor with applications to relativity

Syied,

De,

Turki

et al. 2024

Heliyon

View full text Add to dashboard Cite

Doubly warped product manifolds: Investigations through the projective curvature tensor and relativistic applications

Syied,

Chand De,

Turki

et al. 2024

AIP Advances

View full text Add to dashboard Cite

This paper introduces a description of a doubly warped product manifold, taking into account certain conditions related to the projective curvature tensor. We demonstrate that the factor manifolds of a projectively flat (symmetric) doubly warped product manifold possess constant sectional curvature. In the flatness scenario, a doubly warped product manifold reduces to a singly warped product manifold. We establish that the factor manifolds of a doubly warped product manifold with harmonic projective curvature tensor are Einstein manifolds and exhibit harmonic projective curvature tensor. In Sec. VI, we provide evidence that a projectively flat (symmetric) generalized Robertson–Walker space-time is both a perfect fluid and static.

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

customersupport@researchsolutions.com

10624 S. Eastern Ave., Ste. A-614

Henderson, NV 89052, USA

This site is protected by reCAPTCHA and the Google Privacy Policy and Terms of Service apply.

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Investigation of space-times through W2-curvature tensor in f(R,G) gravity

Cited by 2 publications

References 22 publications

Characterization of warped product manifolds through the W2-curvature tensor with applications to relativity

Characterization of warped product manifolds through the W2-curvature tensor with applications to relativity

Doubly warped product manifolds: Investigations through the projective curvature tensor and relativistic applications

Contact Info

Product

Resources

About