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Pseudo-symmetric spacetimes admitting F(R)-gravity

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Abstract

In the first part of the article, the definition of pseudo-symmetric spacetime is given. In the second part, the conditions under which a four-dimensional pseudo-symmetric spacetime has Riemann compatible and Weyl compatible vector fields are obtained, and the spacetime is examined considering the case that this spacetime is a generalized Robertson–Walker spacetime. In the third part of the article, some investigations on four-dimensional pseudo-symmetric spacetimes admitting F(R)-gravity are made.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Calcutta, 35, B.C.Road, Kolkata, West Bengal, 700019, India

    Uday Chand De

  2. Department of Mathematics, Istanbul Technical University, 34469, Istanbul, Turkey

    Sezgin Altay Demirbag & Füsun Özen Zengin

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  1. Uday Chand De
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  2. Sezgin Altay Demirbag
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  3. Füsun Özen Zengin
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Correspondence to Füsun Özen Zengin.

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De, U.C., Altay Demirbag, S. & Özen Zengin, F. Pseudo-symmetric spacetimes admitting F(R)-gravity. Lett Math Phys 112, 17 (2022). https://doi.org/10.1007/s11005-022-01512-7

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