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In the framework of ADM formalism, it is possible to find out eigenvalues of the WDW equation with the meaning of vacuum states, i.e. cosmological constants, for f(R) theories of gravity, where f(R) is a generic analytic function of the…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. Capozziello , R. Garattini

The metric $f(R)$ theories of gravity are generalized to five-dimensional spacetimes. By assuming a hypersurface-orthogonal Killing vector field representing the compact fifth dimension, the five-dimensional theories are reduced to their…

广义相对论与量子宇宙学 · 物理学 2014-11-20 Biao Huang , Song Li , Yongge Ma

A very general class of axially-symmetric metrics in general relativity (GR) that includes rotations is used to discuss the dynamics of rotationally-supported galaxies. The exact vacuum solutions of the Einstein equations for this extended…

广义相对论与量子宇宙学 · 物理学 2023-02-15 Yogendra Srivastava , Giorgio Immirzi , John Swain , Orland Panella , Simone Pacetti

In this work, we perform reconstruction of \( f(Q) \) gravity inspired by the New Agegraphic Dark Energy (NADE) model, aiming to account for the Universe's late time acceleration without invoking a cosmological constant. Utilizing a power…

宇宙学与河外天体物理 · 物理学 2025-07-02 Rajdeep Mazumdar , Kalyan Malakar , Mrinnoy M. Gohain , Kalyan Bhuyan

In the frameworks of the effective field theory of metric supplemented by some distinct dynamical coordinates parametrized, in turn, by a scalar quartet -- the so-called quartet-metric gravity -- the extension of tensor gravity through a…

广义相对论与量子宇宙学 · 物理学 2019-12-25 Yury F. Pirogov

Recently we put forward a framework where the dark matter (DM) component within virialized halos is subject to a non-local interaction originated by fractional gravity (FG) effects. In previous works we demonstrated that such a framework…

宇宙学与河外天体物理 · 物理学 2023-11-08 F. Benetti , A. Lapi , G. Gandolfi , M. Adil Butt , Y. Boumechta , B. S. Haridasu , C. Baccigalupi

We develop the reconstruction program for the number of modified gravities: scalar-tensor theory, $f(R)$, $F(G)$ and string-inspired, scalar-Gauss-Bonnet gravity. The known (classical) universe expansion history is used for the explicit and…

高能物理 - 理论 · 物理学 2010-04-06 Shin'ichi Nojiri , Sergei D. Odintsov

A reconstruction of modified gravity is proposed by establishing a correspondence between the effective density of the modified gravity and the holographic density. The non-homogeneous term in the modified Friedmann equation, generated by…

广义相对论与量子宇宙学 · 物理学 2019-02-20 L. N. Granda

In the context of $f(\mathcal{R})$ gravity, dark energy is a geometrical fluid with negative equation of state. Since the function $f(\mathcal{R})$ is not known \emph{a priori}, the need of a model independent reconstruction of its shape…

广义相对论与量子宇宙学 · 物理学 2015-06-22 Salvatore Capozziello , Mariafelicia De Laurentis , Orlando Luongo

Cosmography can be considered as a sort of a model-independent approach to tackle the dark energy/modified gravity problem. In this review, the success and the shortcomings of the $\Lambda$CDM model, based on General Relativity and standard…

广义相对论与量子宇宙学 · 物理学 2019-04-09 Salvatore Capozziello , Rocco D'Agostino , Orlando Luongo

We consider the behavior of the tangential velocity of test particles moving in stable circular orbits in f(R) modified theories of gravity. A large number of observations at the galactic scale have shown that the rotational velocities of…

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

Three theoretical criteria for gravitational theories beyond general relativity are considered: obtaining the cosmological constant as an integration constant, deriving the energy conservation law as a consequence of the field equations,…

广义相对论与量子宇宙学 · 物理学 2023-08-17 Junpei Harada

Tests of gravity at the galaxy scale are in their infancy. As a first step to systematically uncovering the gravitational significance of galaxies, we map three fundamental gravitational variables -- the Newtonian potential, acceleration…

星系天体物理 · 物理学 2020-10-26 Harry Desmond , Pedro G. Ferreira , Guilhem Lavaux , Jens Jasche

Introducing a fundamental constant of nature with dimensions of acceleration into the theory of gravity makes it possible to extend gravity in a very consistent manner. At the non-relativistic level a MOND-like theory with a modification in…

宇宙学与河外天体物理 · 物理学 2015-06-11 D. A. Carranza , S. Mendoza , L. A. Torres

Einstein gravity coupled to a massive skew symmetric field F_{\mu\nu\lambda} leads to an acceleration law that modifies the Newtonian law of attraction between particles. We use a framework of non-perturbative renormalization group…

天体物理学 · 物理学 2009-11-10 J. W. Moffat

Torsion and curvature could play a fundamental role in explaining cosmological dynamics. f(R)-gravity with torsion is an approach aimed to encompass in a comprehensive scheme all the Dark Side of the Universe (Dark Energy and Dark Matter).…

广义相对论与量子宇宙学 · 物理学 2014-11-20 S. Capozziello , S. Vignolo

We investigate strong coupling effects in a covariant massive gravity model, which is a candidate for a ghost free non-linear completion of Fierz-Pauli. We analyse the conditions to recover general relativity via Vainshtein mechanism in the…

高能物理 - 理论 · 物理学 2011-11-04 Kazuya Koyama , Gustavo Niz , Gianmassimo Tasinato

We present a new model based on General Relativity in where a subtle change of curvature at late times is able to produce the observed Universe acceleration and an oscillating behavior in the effective equation of state. This model aims to…

宇宙学与河外天体物理 · 物理学 2025-02-18 A. Esteban-Gutiérrez , Miguel A. García-Aspeitia , A. Hernández-Almada , Juan Magaña , V. Motta

One way the ultraviolet problem may be solved is explicit physical regularization. In this scenario, QFT is only the long distance limit of some unknown non-Poincare-invariant microscopic theory. One can ask how complex and contrived such…

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

This study offers a comprehensive reconstruction of $f(T)$ gravity model with three distinct non-linear as well as novel forms employing a hybrid scale factor to depict the expansion history of the universe starting from early decelerated…

广义相对论与量子宇宙学 · 物理学 2026-02-17 Suraj Kumar Behera , Pratik P. Ray