A Newtonian cosmology based on a Yukawa-type potential

D’Olivo, J. C.; Ryan, Maria

doi:10.1088/0264-9381/4/1/003

Cited by 8 publications

(5 citation statements)

References 10 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Possible cosmological implications of new long‐range gravitational interactions have been discussed within the framework of Newtonian cosmology. D'Olivo & Ryan (1987) showed that for a homogeneous, isotropic universe, with a Yukawa‐type term in the gravitational interaction, a Newtonian cosmology exists and the equations of motions are the same as for the ordinary Newtonian case, i.e. the Friedmann equations.…”

Section: Modified Cosmic Expansionmentioning

confidence: 99%

Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations

Sereno

Peacock

2006

Monthly Notices of the Royal Astronomical Society

View full text Add to dashboard Cite

Deviations from the gravitational inverse‐square law would imprint scale‐dependent features on the power spectrum of mass density fluctuations. We model such deviations as a Yukawa‐like contribution to the gravitational potential and discuss the growth function in a mixed dark matter model with adiabatic initial conditions. Evolution of perturbations is considered in general non‐flat cosmological models with a cosmological constant, and an analytical approximation for the growth function is provided. The coupling between baryons and cold dark matter across recombination is negligibly affected by modified gravity physics if the proper cut‐off length of the long‐range Yukawa‐like force is ≳10 h−1 Mpc. Enhancement of gravity affects the subsequent evolution, boosting large‐scale power in a way that resembles the effect of a lower matter density. This phenomenon is almost perfectly degenerate in power‐spectrum shape with the effect of a background of massive neutrinos. Back‐reaction on density growth from a modified cosmic expansion rate should, however, also affect the normalization of the power spectrum, with a shape distortion similar to the case of a non‐modified background.

show abstract

Section: Modified Cosmic Expansionmentioning

confidence: 99%

Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations

Sereno

Peacock

2006

Monthly Notices of the Royal Astronomical Society

View full text Add to dashboard Cite

show abstract

“…Extensions of this approach can be found in Ref. [5]. Moreover, the same equation can be obtained even from Newton's second law [6].…”

Section: Introductionmentioning

confidence: 88%

“…( 13) with the Poisson structure from Eq. (5). By taking Θ ij = ǫ ij3 Θ one gets to the equations of motion…”

Section: Noncommutative Casementioning

confidence: 99%

Cosmological Constant and Noncommutativity: A Newtonian Point of View

Romero

Santiago

2005

Mod. Phys. Lett. A

View full text Add to dashboard Cite

We study a Newtonian cosmological model in the context of a noncommutative space. It is shown that the trajectories of a test particle undergo modifications such that it no longer satisfies the cosmological principle. For the case of a positive cosmological constant, spiral trajectories are obtained and corrections to the Hubble constant appear. It is also shown that, in the limit of a strong noncommutative parameter, the model is closely related to a particle in a Gödel-type metric.

show abstract

“…Similarly, indications of anomalous longrange accelerations that have been found during data analysis of Pioneer 10/11, Galileo, and Ulysses spacecrafts that they are now almost outside of the solar system, made these Yukawa corrections come into play (Anderson et al 1998). In Celestial Mechanics, a Yukawa-type potential is very often proposed to modify the Newtonian one (see, e.g., D'Olivo and Ryan 1987;Iorio 2002;Brownstein and Moffat 2006;). …”

Section: Introductionmentioning

confidence: 99%

Basic thermodynamic parameters of a black hole resulting from a Yukawa type of correction to the metric

Haranas

Gkigkitzis

2011

Astrophys Space Sci

View full text Add to dashboard Cite

There has been a renewed interest in the recent years in the possibility of deviations from the predictions of Newton's "inverse-square law" of universal gravitation. One of the reasons for renewing this interest lies in various theoretical attempts to construct a unified elementary particle theory, in which there is a natural prediction of new forces over macroscopic distances. Therefore the existence of such a force would only coexist with gravity, and in principle could only be detected as a deviation from the inverse square law, or in the "universality of free fall" experiments. New experimental techniques such that of Sagnac interferometry can help explore the range of the Yukawa correction λ ≥ 10 14 m where such forces might be present. It may be, that future space missions might be operating in this range which has been unexplored for very long time. In this paper we derive the basic thermodynamic parameters of such a Yukawa stationary spherically symmetric black hole. First, the expression for the event horizon of such a black hole is derived, with the help of which the temperature, entropy and heat capacity of this particular black hole are obtained. We have also obtained analytical expressions for the change of mass of such black hole, and also its corresponding evaporation time.I. Haranas ( )

show abstract

A Newtonian cosmology based on a Yukawa-type potential

Abstract: Within the framework of Newtonian cosmology we discuss the possible implication of a Yukawa-type gravitational interaction. In an infinite universe no effect is found and the equations of motion are the same as those for the Friedmann-Robertson-Walker models.

Cited by 8 publications

References 10 publications

Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations

Imprints of deviations from the gravitational inverse-square law on the power spectrum of mass fluctuations

Cosmological Constant and Noncommutativity: A Newtonian Point of View

Basic thermodynamic parameters of a black hole resulting from a Yukawa type of correction to the metric

Contact Info

Product

Resources

About