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Scalar-Tensor-Vector Gravity (STVG), also referred as MOdified Gravity (MOG), is an alternative theory of the gravitational interaction. Its weak field approximation has been successfully used to described Solar System observations, galaxy…

广义相对论与量子宇宙学 · 物理学 2017-02-02 Federico G. Lopez Armengol , Gustavo E. Romero

In literature there is a model of modified gravity in which the matter Lagrangian is coupled to the geometry via trace of the stress-energy momentum tensor $T=T_{\mu}^{\mu}$. This type of modified gravity is called as $f(R,T)$ in which $R$…

广义相对论与量子宇宙学 · 物理学 2016-08-30 M. J. S. Houndjo , M. E. Rodrigues , N. S. Mazhari , D. Momeni , R. Myrzakulov

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)].…

广义相对论与量子宇宙学 · 物理学 2009-09-02 Xue-Mei Deng , Yi Xie , Tian-Yi Huang

We find a connection between relativistic Modified Newtonian Dynamics (MOND) theories and (scalar) mimetic gravity. We first demonstrate that any relativistic MOND model featuring a unit-timelike vector field, such as TeVeS or…

广义相对论与量子宇宙学 · 物理学 2025-03-17 Guillem Domènech , Alexander Ganz

An obvious criterion to classify theories of modified gravity is to identify their gravitational degrees of freedom and their coupling to the metric and the matter sector. Using this simple idea, we show that any theory which depends on the…

广义相对论与量子宇宙学 · 物理学 2017-03-01 Xavier Calmet , Iberê Kuntz

As an alternative to dark matter models, MOdified Gravity (MOG) theory can compensate for dark matter by a covariant modification of Einstein gravity. The theory introduces two additional scalar fields and one vector field. The aim is to…

星系天体物理 · 物理学 2015-06-16 J. W. Moffat , S. Rahvar

We consider tensor-multiscalar representations for several types of modified gravity actions. The first example is the theory with the action representing an arbitrary smooth function of the scalar curvature R and (Box R), the integrand of…

广义相对论与量子宇宙学 · 物理学 2011-05-05 Davi C. Rodrigues , Filipe de O. Salles , Ilya L. Shapiro , Alexei A. Starobinsky

Any viable theory of modified Newtonian dynamcs (MOND) as modified gravity is likely to require fields in addition to the usual tensor field of General Relativity. For such theories the MOND phenomenology emerges from an effective fifth…

天体物理学 · 物理学 2009-11-11 R. H. Sanders

We review and extend the Gauge Vectors-Tensor gravity: a covariant theory of gravity composed of a metric and gauge fields, leading to simple second order partial differential equations of motion, whose Newtonian and strong limits coincide…

广义相对论与量子宇宙学 · 物理学 2014-06-03 Qasem Exirifard

Our modified gravity theory (MOG) is a gravitational theory without exotic dark matter, based on an action principle. MOG has been used successfully to model astrophysical phenomena such as galaxy rotation curves, galaxy cluster masses, and…

宇宙学与河外天体物理 · 物理学 2013-06-25 J. W. Moffat , V. T. Toth

In modified gravity, the one-loop matter power spectrum exhibits an ultraviolet divergence as shown in the framework of the degenerate higher-order scalar-tensor theory. To address this problem, we extend the effective field theory of large…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Shin'ichi Hirano , Tomohiro Fujita

I address some problems encountered in the formulation of relativistic models encompassing the MOND phenomenology of radial acceleration. I explore scalar and vector theories with fractional kinetic terms and $f(R)$-type gravity, demanding…

广义相对论与量子宇宙学 · 物理学 2020-08-19 K. Zatrimaylov

The equation of motion for test particles in $f(R)$ modified theories of gravity is derived. By considering an explicit coupling between an arbitrary function of the scalar curvature, $R$, and the Lagrangian density of matter, it is shown…

广义相对论与量子宇宙学 · 物理学 2008-11-26 Orfeu Bertolami , Christian G. Boehmer , Tiberiu Harko , Francisco S. N. Lobo

We investigate the contributions of the Friedmann-Lema\^itre-Robertson-Walker metric of the standard cosmology as an asymptotic boundary condition on the first-order approximation of the gravitational field in Moffat's theory of modified…

广义相对论与量子宇宙学 · 物理学 2021-09-24 J. W. Moffat , V. T. Toth

We investigate the modified $F(R)$ gravity theory with the function $F(R) = (1-\sqrt{1-2\lambda R-\sigma (\lambda R)^2})/\lambda$. The action is converted into Einstein$-$Hilbert action at small values of $\lambda$ and $\sigma$. The local…

广义相对论与量子宇宙学 · 物理学 2016-03-23 S. I. Kruglov

The recent data release by the Planck satellite collaboration presents a renewed challenge for modified theories of gravitation. Such theories must be capable of reproducing the observed angular power spectrum of the cosmic microwave…

广义相对论与量子宇宙学 · 物理学 2021-04-28 J. W. Moffat , V. T. Toth

MOG is a fully relativistic modified theory of gravity based on an action principle. The MOG field equations are exactly solvable numerically in two important cases. In the spherically symmetric, static case of a gravitating mass, the…

广义相对论与量子宇宙学 · 物理学 2010-11-25 J. W. Moffat , V. T. Toth

We proposed a gravitation theory based on an analogy with electrodynamics on the basis of a vector field. For the first time, to calculate the basic gravitational effects in the framework of a vector theory of gravity, we use a Lagrangian…

广义相对论与量子宇宙学 · 物理学 2011-04-20 V. N. Borodikhin

We develop the effective field theory approach to torsional modified gravities, a formalism that allows for the systematic investigation of the background and perturbation levels separately. Starting from the usual effective field theory…

广义相对论与量子宇宙学 · 物理学 2018-10-03 Chunlong Li , Yong Cai , Yi-Fu Cai , Emmanuel N. Saridakis

We study the background cosmology governed by the Tensor-Vector-Scalar theory of gravity proposed by Bekenstein. We consider a broad family of potentials that lead to modified gravity and calculate the evolution of the field variables both…

天体物理学 · 物理学 2008-11-26 F. Bourliot , P. G. Ferreira , D. F. Mota , C. Skordis