Inflation and the conformal structure of higher-order gravity theories

Barrow, John D.; Cotsakis, Spiros

doi:10.1016/0370-2693(88)90110-4

Cited by 592 publications

(518 citation statements)

References 16 publications

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“…It is also helpful to note that these f (R) models can be related to standard gravity with a non-minimally coupled scalar field, using conformal transformation [99,100]. A conformal transformation is not a symmetry of general relativity nor its f (R) generalization.…”

Section: F (R) Modelsmentioning

confidence: 99%

Dark Energy

Li¹,

Li²,

Wang³

et al. 2011

Commun. Theor. Phys.

772

560

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Section: F (R) Modelsmentioning

confidence: 99%

Dark Energy

Li¹,

Li²,

Wang³

et al. 2011

Commun. Theor. Phys.

772

560

View full text Add to dashboard Cite

show abstract

“…They are now being studied in their own right, and various functional forms for f (R) are being considered. Indeed, connection to Modified Newtonian Dynamics has been made for logarithmic f (R) terms [31,32], while with other choices of f (R) connection with quintessence has been made [33][34][35][36][37][38] as well. Importantly, issues with the introduction of a "fifth force", and compatibility with terrestrial experiments have begun to be addressed through the Chameleon Effect (see [39][40][41][42] and an overview in [33]), which is used to hide the effects of field with a small mass that would otherwise be seen.…”

Section: The F (R) Theorymentioning

confidence: 99%

Dark energy and extending the geodesic equations of motion: its construction and experimental constraints

Speliotopoulos

2010

Gen Relativ Gravit

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With the discovery of Dark Energy, DE , there is now a universal length scale, DE = c/( DE G) 1/2 , associated with the universe that allows for an extension of the geodesic equations of motion. In this paper, we will study a specific class of such extensions, and show that contrary to expectations, they are not automatically ruled out by either theoretical considerations or experimental constraints. In particular, we show that while these extensions affect the motion of massive particles, the motion of massless particles are not changed; such phenomena as gravitational lensing remain unchanged. We also show that these extensions do not violate the equivalence principal, and that because DE = 14010 800 820 Mpc, a specific choice of this extension can be made so that effects of this extension are not be measurable either from terrestrial experiments, or through observations of the motion of solar system bodies. A lower bound for the only parameter used in this extension is set.

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“…In this paper we investigate the evolution of positively curved FRW models with a scalar field having the potential which arises in the conformal frame of the R + αR 2 theory [6,7] and ordinary matter described by a perfect fluid with energy density ρ and pressure p. The motivation for this choice was presented in [8]. The purpose of the present article is to generalize the results in [8] by including ordinary matter and to correct the mistake found therein.…”

Section: Introductionmentioning

confidence: 99%

The recollapse problem of closed Friedmann–Robertson–Walker models in higher-order gravity theories

Miritzis

2005

Journal of Mathematical Physics

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We study the closed universe recollapse conjecture for positively curved FRW models with a perfect fluid matter source and a scalar field which arises in the conformal frame of the R + αR 2 theory. By including ordinary matter, we extend the analysis of a previous work. We analyze the structure of the resulted fourdimensional dynamical system with the methods of the center manifold theory and the normal form theory. It is shown that an initially expanding closed FRW universe, starting close to the Minkowski spacetime, cannot avoid recollapse. We discuss the posibility that potentials with a positive minimum may prevent the recollapse of closed universes.

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Inflation and the conformal structure of higher-order gravity theories

Cited by 592 publications

References 16 publications

Dark Energy

Dark Energy

Dark energy and extending the geodesic equations of motion: its construction and experimental constraints

The recollapse problem of closed Friedmann–Robertson–Walker models in higher-order gravity theories

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