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A note on spacetimes in f(R)-gravity

Department of Applied Science and Humanities, United College of Engineering & Research, a-31, Upsidc Industrial Area, Naini-211010, Prayagraj, Uttar Pradesh, India. Orcid. No.0000-0001-6930-3585

* Corresponding Author
Annals of Communications in Mathematics 2023
, 6 (2),
Received: 22 Mar 2023 |
Accepted: 5 May 2023 |
Published: 30 Jun 2023


In this work, the investigation of spacetimes admitting semiconformal curvature tensor in f(R)-gravity theory is the major goal. First, semiconformally flat spacetimes in the presence of f(R)-gravity are investigated, and the relationship between isotropic pressure and energy density is discovered. Some energy conditions are then taken into account. Finally, spacetimes with divergence-free semiconformal curvature tensors in f(R)-gravity are explored.


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A note on spacetimes in f(R)-gravity.

Annals of Communications in Mathematics,

6 (2):
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  • Copyright (c) 2023 by the Author(s). Licensee Techno Sky Publications. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (


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