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A mathematical derivation of Maxwell's equations for gravitation, based on a mathematical proof of Faraday's Law, is presented. The theory provides a linear, relativistic Lagrangian field theory of gravity in a weak field, and paves the way…

综合物理 · 物理学 2013-05-30 D. H. Sattinger

This study is devoted to the implications of scale-dependent gravity in Cosmology. Redshift-space distortion data indicate that there is a tension between $\Lambda$CDM and available observations as far as the value of the rms density…

广义相对论与量子宇宙学 · 物理学 2021-06-08 Grigoris Panotopoulos , Ángel Rincón

We study new FRW type cosmological models of modified gravity treated on the background of Palatini approach. These models are generalization of Einstein gravity by the presence of a scalar field non-minimally coupled to the curvature. The…

广义相对论与量子宇宙学 · 物理学 2012-03-13 A. Borowiec , M. Kamionka , A. Kurek , M. Szydlowski

This paper examines a cosmological model of scale-dependent gravity. The gravitational action is taken to be the Einstein-Hilbert term supplemented with a cosmological constant, where the couplings, $G_k$ and $\Lambda_k$, run with the…

广义相对论与量子宇宙学 · 物理学 2024-05-29 Pedro D. Alvarez , Benjamin Koch , Cristobal Laporte , Angel Rincon

We obtain the general cosmological evolution equations for a classically consistent theory of bimetric gravity. Their analytic solutions are demonstrated to generically allow for a cosmic evolution starting out from a matter dominated FLRW…

广义相对论与量子宇宙学 · 物理学 2015-06-03 Mikael von Strauss , Angnis Schmidt-May , Jonas Enander , Edvard Mortsell , S. F. Hassan

We analyse a generalisation of general relativity that incorporates a cosmic time-variation of the velocity of light in vacuum, $c,$ and the Newtonian gravitation 'constant', $G,$ proposed by Albrecht and Maguejo. We find exact solutions…

天体物理学 · 物理学 2009-10-31 John D. Barrow

We study the variation of the gravitational Newton's constant on cosmological scales in scalar-tensor theories of gravity. We focus on the simplest models of scalar-tensor theories with a coupling to the Ricci scalar of the form $F(\sigma)…

宇宙学与河外天体物理 · 物理学 2022-06-15 Mario Ballardini , Fabio Finelli , Domenico Sapone

We discuss various analytical approximation methods for the evolution of the density fluctuation in the Universe. From primordial density fluctuation, the large-scale structure is formed via its own self-gravitational instability. For this…

天体物理学 · 物理学 2007-05-23 Takayuki Tatekawa

In the context of f(R,T) theories of gravity, we study the evolution of scalar cosmological perturbations in the metric formalism. According to restrictions on the background evolution, a specific model within these theories is assumed in…

广义相对论与量子宇宙学 · 物理学 2013-06-20 F. G. Alvarenga , A. de la Cruz-Dombriz , M. J. S. Houndjo , M. E. Rodrigues , D. Sáez-Gómez

Models with a scalar field coupled to the Gauss-Bonnet Lagrangian appear naturally from Kaluza-Klein compactifications of pure higher-dimensional gravity. We study linear, cosmological perturbations in the limits of weak coupling and…

高能物理 - 理论 · 物理学 2011-07-18 Luca Amendola , Christos Charmousis , Stephen C. Davis

We investigate the consequences of non-minimal gravitational coupling to matter and study how it differs from the case of minimal coupling by choosing certain simple forms for the nature of coupling, The values of the parameters are…

宇宙学与河外天体物理 · 物理学 2011-02-03 Shruti Thakur , Anjan A Sen , T. R. Seshadri

In the framework of special relativity (SR), I propose that matter conformally couples to a scalar field through the Lagrangian density of matter, whether matter is characterized by classical or by quantum (statistical) mechanics. The…

广义相对论与量子宇宙学 · 物理学 2022-10-20 Hai-Chao Zhang

The evolution of density perturbations is analysed in a modified theory of gravity with a nonminimal coupling between curvature and matter. We consider the broken degeneracy between the choices of matter Lagrangian for a perfect fluid,…

广义相对论与量子宇宙学 · 物理学 2026-01-26 Miguel Barroso Varela , Orfeu Bertolami

We study a generalized nonlocal theory of gravity which, in specific limits, can become either the curvature non-local or teleparallel non-local theory. Using the Noether Symmetry Approach, we find that the coupling functions coming from…

广义相对论与量子宇宙学 · 物理学 2017-11-22 Sebastian Bahamonde , Salvatore Capozziello , Konstantinos F. Dialektopoulos

In the last century, theoretical and experimental developments have established the General Relativity theory as the most successful theory for describing the gravitational phenomenon. On the other hand, in the last two decades, multiple…

广义相对论与量子宇宙学 · 物理学 2025-02-18 Raja Solanki

A complete analysis of the dynamics of the Hu-Sawicki modification to General Relativity is presented. In particular, the full phase-space is given for the case in which the model parameters are taken to be n=1, c1=1, and several stable de…

广义相对论与量子宇宙学 · 物理学 2015-11-03 Sulona Kandhai , Peter K. S. Dunsby

We study the evolution of matter density perturbations in Galileon cosmology where the late-time cosmic acceleration can be realized by a field kinetic energy. We obtain full perturbation equations at linear order in the presence of five…

宇宙学与河外天体物理 · 物理学 2011-02-23 Antonio De Felice , Ryotaro Kase , Shinji Tsujikawa

We derive the gravitational Lagrangian to all orders of curvature when the canonical constraint algebra is deformed by a phase space function as predicted by some studies into loop quantum cosmology. The deformation function seems to be…

广义相对论与量子宇宙学 · 物理学 2020-11-25 Rhiannon Cuttell , Mairi Sakellariadou

We present a metric theory of gravity with Lagrangian L = (8\pi G)^{-1}(\Xi g^{ii} - \Upsilon g^{00})\sqrt{-g} + L_{GR} + L_{matter} motivated by classical equations \partial_t \rho + \partial_i (\rho v^i) = 0 \partial_t (\rho v^j) +…

广义相对论与量子宇宙学 · 物理学 2007-05-23 I. Schmelzer

In this manuscript, the field equations of a chameleon field in which the matter Lagrangian term is a general function of the scalar field as well as matter field, are derived. The equations are then expressed in…

广义相对论与量子宇宙学 · 物理学 2016-03-16 Amir Pouyan Khosravi Karchi , Hossein Shojaie
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