Kinetic scalar curvature extended f(R) gravity

S.V. Chervon; A.V. Nikolaev; T.I. Mayorova; S.D. Odintsov; V.K. Oikonomou

Nuclear Physics B (Nov 2018)

Kinetic scalar curvature extended f(R) gravity

S.V. Chervon,
A.V. Nikolaev,
T.I. Mayorova,
S.D. Odintsov,
V.K. Oikonomou

Affiliations

S.V. Chervon: Bauman Moscow State Technical University, 2-nd Baumanskaya street, 5, Moscow, 105005, Russia; Kazan Federal University, Kremlevskaya street, 18, Kazan, 420008, Russia; Laboratory of Gravitation, Cosmology, Astrophysics, Ulyanovsk State Pedagogical University, 100-years V.I. Lenin's Birthday square, Ulyanovsk 432071, Russia; Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South Africa
A.V. Nikolaev: Laboratory of Gravitation, Cosmology, Astrophysics, Ulyanovsk State Pedagogical University, 100-years V.I. Lenin's Birthday square, Ulyanovsk 432071, Russia; Astrophysics and Cosmology Research Unit, School of Mathematics, Statistics and Computer Science, University of KwaZulu–Natal, Private Bag X54001, Durban 4000, South Africa
T.I. Mayorova: Laboratory of Gravitation, Cosmology, Astrophysics, Ulyanovsk State Pedagogical University, 100-years V.I. Lenin's Birthday square, Ulyanovsk 432071, Russia
S.D. Odintsov: ICREA, Passeig Luis Companys, 23, 08010 Barcelona, Spain; Institute of Space Sciences (ICE, CSIC), C. Can Magrans s/n, 08193 Barcelona, Spain; Institute of Space Sciences of Catalonia (IEEC), Barcelona, Spain; Tomsk State Pedagogical University, 634061 Tomsk, Russia
V.K. Oikonomou: Department of Physics, Aristotle University of Thessaloniki, Thessaloniki 54124, Greece; Laboratory for Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia; Tomsk State Pedagogical University, 634061 Tomsk, Russia; Corresponding author.

Journal volume & issue: Vol. 936
pp. 597 – 614

Abstract

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In this work we study a modified version of vacuum f(R) gravity with a kinetic term which consists of the first derivatives of the Ricci scalar. We develop the general formalism of this kinetic Ricci modified f(R) gravity and we emphasize on cosmological applications for a spatially flat cosmological background. By using the formalism of this theory, we investigate how it is possible to realize various cosmological scenarios. Also we demonstrate that this theoretical framework can be treated as a reconstruction method, in the context of which it is possible to realize various exotic cosmologies for ordinary Einstein–Hilbert action. Finally, we derive the scalar–tensor counterpart theory of this kinetic Ricci modified f(R) gravity, and we show the mathematical equivalence of the two theories.

Published in Nuclear Physics B

ISSN: 0550-3213 (Print); 1873-1562 (Online)
Publisher: Elsevier
Country of publisher: Netherlands
LCC subjects: Science: Physics: Nuclear and particle physics. Atomic energy. Radioactivity
Website: http://www.journals.elsevier.com/nuclear-physics-b/

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