On the Schouten and Wagner curvature tensors

Barrett, Dennis I.; Remsing, Claudiu C.

doi:10.1007/s12215-021-00654-2

Rend. Circ. Mat. Palermo, II. Ser

2021

DOI: 10.1007/s12215-021-00654-2

|View full text |Cite

On the Schouten and Wagner curvature tensors

Dennis I. Barrett¹,

Claudiu C. Remsing

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...

Article1

Relationship

Self Cite0

Independent1

Authors

Journals

Cited by 1 publication

References 18 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

Schouten–Codazzi gravity

Sussman,

Nájera

2024

Class. Quantum Grav.

View full text Add to dashboard Cite

We propose a new phenomenological second order gravity theory to be denoted as ''Schouten-Codazzi' Gravity'' (SCG), as it is based on Schouten and Codazzi tensors. The theory is related, but is clearly distinct from Cotton Gravity. By assuming as source the energy momentum of General Relativity, we form a second order system with its geometric sector given by the sum of the Schouten tensor and a generic second order symmetric tensor complying with the following properties: (i) it must satisfy the Codazzi differential condition and (ii) it must be concomitant with the invariant characterization based on the algebraic structure of curvature tensors for specific spacetimes or classes of spacetimes. We derive and briefly discuss the properties of SCG solutions for static spherical symmetry (vacuum and perfect fluid), FLRW models and spherical dust fluids. While we do recognize that SCG is ``work in progress'' in an incipient stage that still requires significant theoretical development, we believe that the theory provides valuable guidelines in the search for alternatives to General Relativity

show abstract

Schouten–Codazzi gravity

Sussman,

Nájera

2024

Class. Quantum Grav.

View full text Add to dashboard Cite

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.

On the Schouten and Wagner curvature tensors

Cited by 1 publication

References 18 publications

Schouten–Codazzi gravity

Schouten–Codazzi gravity

Contact Info

Product

Resources

About