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相关论文: Scalar-field potential for viable models in $f(R)$…

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The weak field limit of scalar tensor theories of gravity is discussed in view of conformal transformations. Specifically, we consider how physical quantities, like gravitational potentials derived in the Newtonian approximation for the…

广义相对论与量子宇宙学 · 物理学 2015-02-25 A. Stabile , An. Stabile , S. Capozziello

There is a conformal equivalence between power law $f(R)$ theories and scalar field theories in which the scalar degree of freedom evolves under the action of an exponential potential function. In the scalar field representation there is a…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Yousef Bisabr

The scalar-tensor theory can be formulated in both Jordan and Einstein frames, which are conformally related together with a redefinition of the scalar field. As the solution to the equation of the scalar field in the Jordan frame does not…

广义相对论与量子宇宙学 · 物理学 2020-05-07 Chao-Qiang Geng , Hao-Jui Kuan , Ling-Wei Luo

In this paper, we explore the nature of scalar field potential in $f(R, R_{\alpha\beta} R^{\alpha\beta},\phi)$ gravity using a well-motivated reconstruction scheme for flat FRW geometry. The beauty of this scheme lies in the assumption that…

广义相对论与量子宇宙学 · 物理学 2017-01-25 M. Zubair , Farzana Kousar , Saira Waheed

The duality between a higher curvature $f(R)$ gravity model and a scalar-tensor theory helps to bring out the role of the additional degree of freedom originating from the higher derivative terms in the gravity action. Such a degree of…

广义相对论与量子宇宙学 · 物理学 2024-06-21 Hitender Kumar , Tanmoy Paul , Soumitra SenGupta

We study the dynamical description of gravity, the appropriate definition of the scalar field energy-momentum tensor, and the interrelation between them in scalar-tensor theories of gravity. We show that the quantity which one would naively…

广义相对论与量子宇宙学 · 物理学 2015-06-25 David I. Santiago , Alexander S. Silbergleit

The $f(R)$ gravity models formulated in Einstein conformal frame are equivalent to Einstein gravity together with a minimally coupled scalar field. We shall explore phantom behavior of $f(R)$ models in this frame and compare the results…

广义相对论与量子宇宙学 · 物理学 2014-11-21 Yousef Bisabr

Effective potential of a scalar field induced by weak gravity is studied. The set of operators relevant for leading effects and preserving the second order of field equations is found. It is shown that only the mass term and a specific…

高能物理 - 理论 · 物理学 2020-10-30 Andrej Arbuzov , Boris Latosh

Recentely, it is shown that the quantum effects of matter determine the conformal degree of freedom of the space-time metric. This was done in the framework of a scalar-tensor theory with one scalar field. A point with that theory is that…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Fatimah Shojai , Ali Shojai

Scalar-tensor gravitational theories are important extensions of standard general relativity, which can explain both the initial inflationary evolution, as well as the late accelerating expansion of the Universe. In the present paper we…

广义相对论与量子宇宙学 · 物理学 2017-06-28 J. A. Belinchón , T. Harko , M. K. Mak

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…

广义相对论与量子宇宙学 · 物理学 2022-06-01 A. Arbuzov , B. Latosh , A. Nikitenko

Effective field theory provides a way of parameterizing strong-field deviations from General Relativity that might be observable in the gravitational waves emitted in a black hole merger. To perform numerical simulations of mergers in such…

广义相对论与量子宇宙学 · 物理学 2020-07-01 Aron D. Kovacs , Harvey S. Reall

We present a novel equivalence between scale-dependent gravity and scalar-tensor theories that have only a single scalar field with a canonical kinetic term in the Einstein frame and a conformal coupling to the metric tensor. In particular,…

广义相对论与量子宇宙学 · 物理学 2026-02-25 Philipp Neckam , Christian Käding , Benjamin Koch , Cristobal Laporte , Mario Pitschmann , Ali Riahinia , Angel Rincon

Multiple scalar fields appear in vast modern particle physics and gravity models. When they couple to gravity non-minimally, conformal transformation is utilized to bring the theory into Einstein frame. However, the kinetic terms of scalar…

广义相对论与量子宇宙学 · 物理学 2021-09-22 Yong Tang , Yue-Liang Wu

The theory starts from a tentative interpretation of gravity as Archimedes' thrust exerted on matter at the scale of elementary particles by an imagined perfect fluid ("ether"): the gravity acceleration is expressed by a formula in which…

综合物理 · 物理学 2007-09-05 Mayeul Arminjon

We analyze the propagating degrees of freedom in gravity models where the scalar curvature in the action is replaced by a generic function $f(R)$ of the curvature. That these gravity models are equivalent to Einstein's gravity with an extra…

高能物理 - 理论 · 物理学 2007-05-23 Alvaro Nunez , Slava Solganik

We search for viable f(R) theories of gravity, making use of the equivalence between such theories and scalar-tensor gravity. We find that models can be made consistent with solar system constraints either by giving the scalar a high mass…

天体物理学 · 物理学 2008-11-26 Thomas Faulkner , Max Tegmark , Emory F. Bunn , Yi Mao

Realizations of scale invariance are studied in the context of a gravitational theory where the action (in the first order formalism) is of the form $S = \int L_{1} \Phi d^{4}x$ + $\int L_{2}\sqrt{-g}d^{4}x$ where $\Phi$ is a density built…

广义相对论与量子宇宙学 · 物理学 2009-10-31 E. I. Guendelman

We consider metric f(R) theories of gravity without mapping them to their scalar-tensor counterpart, but using the Ricci scalar itself as an "extra" degree of freedom. This approach avoids then the introduction of a scalar-field potential…

广义相对论与量子宇宙学 · 物理学 2011-02-15 Luisa G. Jaime , Leonardo Patino , Marcelo Salgado

We derive a scalar potential in the recently proposed N=1 supersymmetric generalization of f(R) gravity in four space-time dimensions. Any such higher-derivative supergravity is classically equivalent to the standard N=1 supergravity…

高能物理 - 理论 · 物理学 2009-06-25 Sergei V. Ketov
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