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The paper deals with $f(R)$ gravity theory in the background of inhomogeneous FLRW--type space time model. With proper choice of the inhomogeneous metric function it is possible to have an emergent scenario for the $f(R)$--cosmology.…

General Relativity and Quantum Cosmology · Physics 2018-11-14 Dipanjana Das , Sourav Dutta , Subenoy Chakraborty

We address the cosmological role of an additional ${\cal O}(1)$ eV sterile neutrino in modified gravity models. We confront the present cosmological data with predictions of the FLRW cosmological model based on a variant of $f(R)$ modified…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-14 A. S. Chudaykin , D. S. Gorbunov , A. A. Starobinsky , R. A. Burenin

We study antigravity, that is having an effective gravitational constant with a negative sign, in scalar-tensor theories originating from $F(R)$-theory and in a Brans-Dicke model with cosmological constant. For the $F(R)$ theory case, we…

General Relativity and Quantum Cosmology · Physics 2014-08-05 V. K. Oikonomou , N. Karagiannakis

Cosmological models based on f(R)-gravity may exhibit a natural acceleration mechanism without introducing a dark energy component. In this paper, we investigate cosmological consequences of the so-called Hu-Sawicki f(R)-gravity in the…

Cosmology and Nongalactic Astrophysics · Physics 2012-12-13 B. Santos , M. Campista , J. Santos , J. S. Alcaniz

The observed accelerated cosmic expansion can be a signature of fourth\,-\,order gravity theories, where the acceleration of the Universe is a consequence of departures from Einstein General Relativity, rather than the sign of the existence…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-03 Vincenzo F. Cardone , Stefano Camera , Antonaldo Diaferio

We investigate the viability of f(R) theories in the framework of the Palatini approach as solutions to the problem of the observed accelerated expansion of the universe. Two physically motivated popular choices for f(R) are considered:…

Astrophysics · Physics 2009-11-10 S. Capozziello , V. F. Cardone , M. Francaviglia

We provide a detailed analysis of Friedmann-Robertson-Walker universes in a wide range of scalar-tensor theories of gravity. We apply solution-generating methods to three parametrised classes of scalar-tensor theory which lead naturally to…

General Relativity and Quantum Cosmology · Physics 2009-10-28 John D. Barrow , Paul Parsons

The homogeneous and isotropic cosmological model in generalized $ f(R,T^\phi) $ theories associated with scalar field is discussed, which is motivated by the $ f(R,T) $ theory of gravity studied by Harko et al. \cite{Harko:2011kv,…

General Relativity and Quantum Cosmology · Physics 2022-12-27 J. K. Singh , Akanksha Singh , Shaily , J. Jena

We motivate and analyze the weak-field limit of a non-analytical Lagrangian for the gravitational field. After investigating the parameter space of the model, we impose constraints on the parameters characterizing this class of theories…

General Relativity and Quantum Cosmology · Physics 2009-02-12 O. M. Lecian , G. Montani

It is widely believed that the screening mechanism is an essential feature for the modified gravity theory. Although this mechanism has been examined thoroughly in the past decade, their analyses are based on the classical configuration of…

General Relativity and Quantum Cosmology · Physics 2019-10-03 Taishi Katsuragawa , Shinya Matsuzaki , Eibun Senaha

The previously introduced class of two-parametric phenomenological inflationary models in General Relativity in which the slow-roll assumption is replaced by the more general, constant-roll condition is generalized to the case of $f(R)$…

Cosmology and Nongalactic Astrophysics · Physics 2017-08-15 Hayato Motohashi , Alexei A. Starobinsky

In this work, the $f(\mathcal{G},T)$ theory of gravity is recast in terms of the $\phi$ and $\psi$ fields within the scalar-tensor formulation, where $\mathcal{G}$ is the Gauss-Bonnet term and $T$ denotes the trace of the energy-momentum…

General Relativity and Quantum Cosmology · Physics 2023-12-20 Adam Z. Kaczmarek , Dominik Szczęśniak

We consider Friedmann-Lema\^{\i}tre-Robertson-Walker flat cosmological models in the framework of general Jordan frame scalar-tensor theories of gravity with arbitrary coupling function and potential. For the era when the cosmological…

General Relativity and Quantum Cosmology · Physics 2011-01-06 Laur Järv , Piret Kuusk , Margus Saal

We consider cosmological scenarios based on $f(R,T)$ theories of gravity ($R$ is the Ricci scalar and $T$ is the trace of the energy-momentum tensor) and numerically reconstruct the function $f(R,T)$ which is able to reproduce the same…

General Relativity and Quantum Cosmology · Physics 2015-03-19 M. J. S. Houndjo , Oliver F. Piattella

This work examines the cosmological implications of two functional forms of $f(R,T) = R + \alpha T^n$ gravity: for two different value of $n $ where $n=1$ and $n\neq 1$, and $\alpha$ and $n$ are free parameters. The modified Friedmann…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-24 Mustapha Lamaaoune

$f(T)$ cosmology has shown promise in explaining aspects of cosmic evolution. In this work, we analyze constraints on leading models of $f(T)$ gravity in the context of the recently released Pantheon+ data set, together with comparisons…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Rebecca Briffa , Celia Escamilla-Rivera , Jackson Levi Said , Jurgen Mifsud

We study the constraint on $f(R)$ gravity that can be obtained by photometric primary probes of the Euclid mission. Our focus is the dependence of the constraint on the theoretical modelling of the nonlinear matter power spectrum. In the…

Cosmology and Nongalactic Astrophysics · Physics 2025-06-18 Euclid Collaboration , K. Koyama , S. Pamuk , S. Casas , B. Bose , P. Carrilho , I. Sáez-Casares , L. Atayde , M. Cataneo , B. Fiorini , C. Giocoli , A. M. C. Le Brun , F. Pace , A. Pourtsidou , Y. Rasera , Z. Sakr , H. -A. Winther , E. Altamura , J. Adamek , M. Baldi , M. -A. Breton , G. Rácz , F. Vernizzi , A. Amara , S. Andreon , N. Auricchio , C. Baccigalupi , S. Bardelli , F. Bernardeau , C. Bodendorf , D. Bonino , E. Branchini , M. Brescia , J. Brinchmann , A. Caillat , S. Camera , V. Capobianco , C. Carbone , J. Carretero , M. Castellano , G. Castignani , S. Cavuoti , A. Cimatti , C. Colodro-Conde , G. Congedo , C. J. Conselice , L. Conversi , Y. Copin , F. Courbin , H. M. Courtois , A. Da Silva , H. Degaudenzi , G. De Lucia , M. Douspis , F. Dubath , C. A. J. Duncan , X. Dupac , S. Dusini , M. Farina , S. Farrens , S. Ferriol , P. Fosalba , M. Frailis , E. Franceschi , S. Galeotta , B. Gillis , P. Gómez-Alvarez , A. Grazian , F. Grupp , L. Guzzo , M. Hailey , S. V. H. Haugan , W. Holmes , F. Hormuth , A. Hornstrup , P. Hudelot , S. Ilić , K. Jahnke , M. Jhabvala , B. Joachimi , E. Keihänen , S. Kermiche , A. Kiessling , M. Kilbinger , B. Kubik , M. Kunz , H. Kurki-Suonio , P. B. Lilje , V. Lindholm , I. Lloro , G. Mainetti , D. Maino , E. Maiorano , O. Mansutti , O. Marggraf , K. Markovic , M. Martinelli , N. Martinet , F. Marulli , R. Massey , E. Medinaceli , S. Mei , M. Melchior , Y. Mellier , M. Meneghetti , E. Merlin , G. Meylan , M. Moresco , L. Moscardini , E. Munari , C. Neissner , S. -M. Niemi , C. Padilla , S. Paltani , F. Pasian , K. Pedersen , W. J. Percival , V. Pettorino , S. Pires , G. Polenta , M. Poncet , L. A. Popa , L. Pozzetti , F. Raison , A. Renzi , J. Rhodes , G. Riccio , E. Romelli , M. Roncarelli , R. Saglia , J. -C. Salvignol , A. G. Sánchez , D. Sapone , B. Sartoris , M. Schirmer , T. Schrabback , A. Secroun , G. Seidel , S. Serrano , C. Sirignano , G. Sirri , L. Stanco , J. Steinwagner , P. Tallada-Crespí , A. N. Taylor , I. Tereno , R. Toledo-Moreo , F. Torradeflot , I. Tutusaus , L. Valenziano , T. Vassallo , G. Verdoes Kleijn , A. Veropalumbo , Y. Wang , J. Weller , G. Zamorani , E. Zucca , A. Biviano , E. Bozzo , C. Burigana , M. Calabrese , D. Di Ferdinando , J. A. Escartin Vigo , G. Fabbian , R. Farinelli , F. Finelli , J. Gracia-Carpio , S. Matthew , N. Mauri , A. Pezzotta , M. Pöntinen , V. Scottez , M. Tenti , M. Viel , M. Wiesmann , Y. Akrami , S. Anselmi , M. Archidiacono , F. Atrio-Barandela , M. Ballardini , D. Bertacca , A. Blanchard , L. Blot , H. Böhringer , S. Bruton , R. Cabanac , A. Calabro , B. Camacho Quevedo , G. Cañas-Herrera , A. Cappi , F. Caro , C. S. Carvalho , T. Castro , K. C. Chambers , S. Contarini , A. R. Cooray , G. Desprez , A. Díaz-Sánchez , J. J. Diaz , S. Di Domizio , H. Dole , S. Escoffier , M. Ezziati , A. G. Ferrari , P. G. Ferreira , I. Ferrero , A. Finoguenov , A. Fontana , F. Fornari , L. Gabarra , K. Ganga , J. García-Bellido , T. Gasparetto , V. Gautard , E. Gaztanaga , F. Giacomini , F. Gianotti , G. Gozaliasl , C. M. Gutierrez , A. Hall , H. Hildebrandt , J. Hjorth , A. Jimenez Muñoz , S. Joudaki , J. J. E. Kajava , V. Kansal , D. Karagiannis , C. C. Kirkpatrick , J. Le Graet , L. Legrand , J. Lesgourgues , T. I. Liaudat , S. J. Liu , A. Loureiro , G. Maggio , M. Magliocchetti , F. Mannucci , R. Maoli , J. Martín-Fleitas , C. J. A. P. Martins , L. Maurin , R. B. Metcalf , M. Miluzio , P. Monaco , A. Montoro , A. Mora , C. Moretti , G. Morgante , C. Murray , S. Nadathur , Nicholas A. Walton , L. Pagano , L. Patrizii , V. Popa , D. Potter , P. Reimberg , I. Risso , P. -F. Rocci , M. Sahlén , E. Sarpa , A. Schneider , M. Sereno , A. Silvestri , A. Spurio Mancini , J. Stadel , K. Tanidis , C. Tao , N. Tessore , G. Testera , R. Teyssier , S. Toft , S. Tosi , A. Troja , M. Tucci , J. Valiviita , D. Vergani , G. Verza , P. Vielzeuf

We study modified theories of gravity of the f(R) type in Palatini formalism. For a generic f(R) lagrangian, we show that the metric can be solved as the product of a scalar function times a rank-two tensor (or auxiliary metric). The scalar…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Gonzalo J. Olmo

To find more deliberate f(R,T) cosmological solutions, we proceed our previous paper further by studying some new aspects of the considered models via investigation of some new cosmological parameters/quantities to attain the most…

General Relativity and Quantum Cosmology · Physics 2017-05-23 Hamid Shabani , Mehrdad Farhoudi

We study mimetic $F(R)$ gravity with potential and Lagrange multiplier constraint. In the context of these theories, we introduce a reconstruction technique which enables us to realize arbitrary cosmologies, given the Hubble rate and an…

General Relativity and Quantum Cosmology · Physics 2016-02-17 S. D. Odintsov , V. K. Oikonomou
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