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Cartan $F(R)$ gravity introduces the equivalent scalar-tensor theory by extending the gravity sector. From the solution of the modified Cartan equation leads to the interaction with the scalar field and the fermion. We derived the effective…

General Relativity and Quantum Cosmology · Physics 2025-03-12 Hiroki Sakamoto , Masahiko Taniguchi

A gravity theory called scalar-tensor-vector gravity (STVG) has been recently developed and succeeded in solar system, astrophysical and cosmological scales without dark matter [J. W. Moffat, J. Cosmol. Astropart. Phys. 03, 004 (2006)].…

General Relativity and Quantum Cosmology · Physics 2009-09-02 Xue-Mei Deng , Yi Xie , Tian-Yi Huang

The aim of our investigation is to derive a particular theory among the class of scalar-tensor(ST) theories of gravity, and then to test it by studying kinematics and dynamics of S-stars around supermassive black hole (BH) at Galactic…

Quark star models with realistic equation of state in nonperturbative $f(R)$ gravity are considered. The mass-radius relation for $f(R)=R+\alpha R^2$ model is obtained. Considering scalar curvature $R$ as an independent function, one can…

General Relativity and Quantum Cosmology · Physics 2015-06-23 A. V. Astashenok , S. Capozziello , S. D. Odintsov

The scalar-tensor theory of gravity with the Higgs field as scalar field is presented. For central symmetry it reproduces the empirically measured flat rotation curves of galaxies. We approximate the galaxy by a polytropic gas sphere with…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Nils M. Bezares-Roder , Heinz Dehnen

This work is a review of the last results of research on the Scalar Field Dark Matter model of the Universe at cosmological and at galactic level. We present the complete solution to the scalar field cosmological scenario in which the dark…

Astrophysics · Physics 2015-06-24 T. Matos , F. S. Guzman , L. A. Urena-Lopez , D. Nunez

An exact de Sitter solution of scalar-tensor gravity is found, in which the non-minimal coupling scalar is rolling along a non-constant potential. Based on this solution, a dust-filled FRW universe is explored in frame of scalar-tensor…

General Relativity and Quantum Cosmology · Physics 2010-06-22 Hongsheng Zhang , Xin-Zhou Li

In this manuscript, we investigate the behavior of stellar structure through embedding approach in $f(R, \phi, X)$ modified theory of gravity, where $R$ denotes the Ricci scalar, $\phi$ represents the scalar potential and $X$ indicates the…

General Relativity and Quantum Cosmology · Physics 2024-04-02 Adnan Malik , Yonghui Xia , Ayesha Almas , M. Farasat Shamir

The class of scalar-tensor theories with the scalar field coupling to the Gauss-Bonnet invariant has drawn great interest since solutions of spontaneous scalarization were found for black holes in these theories. We contribute to the…

General Relativity and Quantum Cosmology · Physics 2022-01-05 Rui Xu , Yong Gao , Lijing Shao

We argued that the standard field scalar potential couldn't be widely used for getting the adequate galaxies' curve lines and determining the profiles of dark matter their halo. For discovering the global properties of scalar fields that…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 L. M. Chechin

We study the stability of static, spherically symmetric solutions to the Einstein equations with a scalar field as the source. We describe a general methodology of studying small radial perturbations of scalar-vacuum configurations with…

General Relativity and Quantum Cosmology · Physics 2015-05-30 K. A. Bronnikov , J. C. Fabris , A. Zhidenko

A generalized scalar-tensor theory is investigated whose cosmological term depends on both a scalar field and its time derivative. A correspondence with solutions of five-dimensional Space-Time-Matter theory is noted. Analytic solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-07 T. Fukui , J. M. Overduin

Galactic dark matter is modelled by a scalar field. In particular, it is shown that an analytically solvable toy model with a non-linear self-interaction potential U(Phi) leads to dark halo models which have the form of quasi-isothermal…

Astrophysics · Physics 2010-11-19 B. Fuchs , E. W. Mielke

One-loop effective potential of scalar-tensor gravity with a quartic scalar field self-interaction is evaluated up to first post-Minkowskian order. The potential develops an instability in the strong field regime which is expected from an…

General Relativity and Quantum Cosmology · Physics 2022-06-01 A. Arbuzov , B. Latosh , A. Nikitenko

The features of a homogeneous scalar field $\phi$ with classical Lagrangian $L=\phi_{;i}\phi^{;i}/2-V(\phi)$ and tachyon field Lagrangian $L=-V(\phi)\sqrt{1-\phi_{;i}\phi^{;i}}$ causing the observable accelerated expansion of the Universe…

Astrophysics · Physics 2009-11-13 O. Sergijenko , B. Novosyadlyj

In a previous paper we showed that static spherically symmetric objects which, in the vicinity of their surface, are well-described by a polytropic equation of state with 3/2<Gamma<2 exhibit a curvature singularity in Palatini f(R) gravity.…

General Relativity and Quantum Cosmology · Physics 2008-11-26 E. Barausse , T. P. Sotiriou , J. C. Miller

We analyze seven different viable $f(R)$-gravities towards the Solar System tests and stochastic gravitational waves background. The aim is to achieve experimental bounds for the theory at local and cosmological scales in order to select…

High Energy Physics - Theory · Physics 2009-09-28 S. Capozziello , M. De Laurentis , S. Nojiri , S. D. Odintsov

We investigate anisotropic and homogeneous cosmological models in the scalar-tensor theory of gravity with non-minimal kinetic coupling of a scalar field to the curvature given by the function $\eta\cdot(\phi/2)\cdot G_{\mu\nu}\,\nabla^\mu…

General Relativity and Quantum Cosmology · Physics 2025-05-13 Ruslan K. Muharlyamov , Tatiana N. Pankratyeva , Shehabaldeen O. A. Bashir

In the present paper we will investigate the relation between scalar-tensor theory and $f(R)$ theories of gravity. Such studies have been performed in the past for the metric formalism of $f(R)$ gravity; here we will consider mainly the…

General Relativity and Quantum Cosmology · Physics 2010-04-06 Thomas P. Sotiriou

Out of several possible extensions of general relativity, the scalar-tensor theory is the most popular for several reasons. Since the quantum description of gravity is yet to be formulated properly, the understanding of a gravitational…

General Relativity and Quantum Cosmology · Physics 2022-10-12 Krishnakanta Bhattacharya , Bibhas Ranjan Majhi