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Related papers: Unitarization of $R + \alpha R^2$ gravity

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The Dolgov-Kawasaki instability discovered in the matter sector of the modified gravity scenario incorporating a 1/R correction to Einstein gravity is studied in general f(R) theories. A stability condition is found in the metric version of…

Astrophysics · Physics 2008-11-26 Valerio Faraoni

We generalise Starobinsky's model of inflation to space-times with $D>4$ dimensions, where $D-4$ dimensions are compactified on a suitable manifold. The $D$-dimensional action features Einstein-Hilbert gravity, a higher-order curvature…

High Energy Physics - Theory · Physics 2017-02-28 Santiago Pajón Otero , Francisco G. Pedro , Clemens Wieck

The quantization of the Hamiltonian for a scalar field is performed in the framework of Quantum Reduced Loop Gravity. We outline how the regularization can be performed by using the analogous tools adopted in full Loop Quantum Gravity and…

General Relativity and Quantum Cosmology · Physics 2015-12-23 Jakub Bilski , Emanuele Alesci , Francesco Cianfrani

Binary pulsars are a powerful tool for probing strong gravity that still outperforms direct gravitational wave observations in a number of directions due to the remarkable accuracy of the pulsar timing. They can constrain very precisely the…

General Relativity and Quantum Cosmology · Physics 2024-06-26 Petar Y. Yordanov , Kalin V. Staykov , Stoytcho S. Yazadjiev , Daniela D. Doneva

We calculate the f(R) gravity function in the dual gravity description of the quintessence model with a quadratic (Linde) scalar potential and a positive cosmological constant. We find that in the large curvature regime relevant to chaotic…

High Energy Physics - Theory · Physics 2018-05-09 Sergei V. Ketov , Natsuki Watanabe

We investigate the cosmological reconstruction in modified f(R,T) gravity, where R is the Ricci scalar and T the trace of the stress-energy tensor. Special attention is attached to the case in which the function f is given by f (R, T) = f1…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-28 M. J. S. Houndjo

The unknown physical nature of the Dark Energy motivates in cosmology the study of modifications of the gravity theory at large distances. One of these types of modifications is to consider gravity theories, generally termed as $f(R)$. In…

Cosmology and Nongalactic Astrophysics · Physics 2022-06-07 Pedro Bessa , Marcela Campista , Armando Bernui

We perform a comprehensive study of gravitational waves in the context of the higher-order quadratic scalar curvature gravity, which encompasses the ordinary Einstein-Hilbert term in the action plus an $R^{2}$ contribution and a term of the…

General Relativity and Quantum Cosmology · Physics 2022-12-06 S. G. Vilhena , L. G. Medeiros , R. R. Cuzinatto

We investigate the information content of various cosmic shear statistics on the theory of gravity. Focusing on the Hu-Sawicki-type $f(R)$ model, we perform a set of ray-tracing simulations and measure the convergence bispectrum, peak…

Cosmology and Nongalactic Astrophysics · Physics 2017-01-25 Masato Shirasaki , Takahiro Nishimichi , Baojiu Li , Yuichi Higuchi

We study two homogeneous supersymmetric extensions for the $f(R)$ modified gravity model of Starobinsky with the FLRW metric. The actions are defined in terms of a superfield $\mathcal{R}$ that contains the FLRW scalar curvature. One model…

General Relativity and Quantum Cosmology · Physics 2025-11-14 N. E. Martínez-Pérez , C. Ramírez , V. Vázquez-Báez

We investigate the Cartan formalism in $F(R)$ gravity. $F(R)$ gravity has been introduced as a theory to explain cosmological accelerated expansion by replacing the Ricci scalar $R$ in the Einstein-Hilbert action with a function of $R$. As…

General Relativity and Quantum Cosmology · Physics 2022-10-13 Tomohiro Inagaki , Masahiko Taniguchi

We develop the general scheme for modified $f(R)$ gravity reconstruction from any realistic FRW cosmology. We formulate several versions of modified gravity compatible with Solar System tests where the following sequence of cosmological…

High Energy Physics - Theory · Physics 2008-11-26 Shin'ichi Nojiri , Sergei D. Odintsov

This study examines the dynamical evolution of self-gravitating systems in the presence of exotic matter within the framework of $f(R)$ gravity. Specifically, we have adopted the Starobinsky model $f(R) = R + \alpha R^2$, which incorporates…

General Relativity and Quantum Cosmology · Physics 2025-11-18 A. Zahra , S. A. Mardan , Muhammad Bilal Riaz , Javlon Rayimbaev , Inomjon Ibragimov , Munisbek Akhmedov , Erkaboy Davletov

From the low-energy effective theory of dilatons, consistent with the scale anomaly, we calculate the $2\to2$ scattering amplitudes of dilatons. We find that the one-loop amplitude violates the unitarity bound as the scattering energy…

High Energy Physics - Phenomenology · Physics 2022-10-26 Deog Ki Hong , Gyurin Kim , Jun Beom Park

Starobinsky's $R+\alpha R^2$ inflation provides a compelling one-parameter inflationary model that is supported by current cosmological observations. However, at the same order in spacetime derivatives as the $R^2$ term, an effective theory…

General Relativity and Quantum Cosmology · Physics 2025-12-03 Eugenio Bianchi , Mauricio Gamonal

Recently, corrections to the standard Einstein-Hilbert action are proposed to explain the current cosmic acceleration in stead of introducing dark energy. In the Palatini formulation of those modified gravity models, there is an important…

High Energy Physics - Theory · Physics 2008-11-26 Xin-He Meng , Peng Wang

We investigate the ultraviolet (UV) behavior of two-scalar elastic scattering with graviton exchanges in higher curvature gravity theory. In the Einstein gravity, matter scattering is shown not to satisfy tree unitarity at high energy.…

High Energy Physics - Theory · Physics 2019-12-06 Yugo Abe , Takeo Inami , Keisuke Izumi , Tomotaka Kitamura

The cosmological background of gravitational waves can be tuned by the higher-order corrections to the gravitational Lagrangian. In particular, it can be shown that assuming $R^{1+\epsilon}$, where $\epsilon$ indicates a generic (eventually…

General Relativity and Quantum Cosmology · Physics 2008-11-26 S. Capozziello , M. De Laurentis , M. Francaviglia

We study secondary gravitational wave production in Horndenski gravity, when the scalar field dominates the very early universe. We find that higher derivative interactions easily dominate the source term on subhorizon scales and…

General Relativity and Quantum Cosmology · Physics 2024-07-01 Guillem Domènech , Alexander Ganz

We consider gravitational massive scalar-scalar scattering from unitarity and demonstrate how intermediate soft graviton behavior and the concept of extracting classical physics from localization of integrands on velocity cuts devise an…

High Energy Physics - Theory · Physics 2022-03-30 N. E. J. Bjerrum-Bohr , L. Plante , P. Vanhove