On the Newtonian limit of metric f(R) gravity

Schellstede, Gerold Oltman

doi:10.1007/s10714-016-2111-9

Cited by 10 publications

(12 citation statements)

References 14 publications

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“…Interestingly, such oscillations of the Newtonian potential have been found in a variety of other formulations aiming to amend Einstein gravity. These include f (R)-gravity [101][102][103][104][105][106][107][108][109], string induced, ghost free, non-local gravity [110,111] and other non-local formulations [112]. On the other hand, in the low energy limit for which only the three spatial dimensions are visible, the oscillations disappear as expected in similar quantum gravity contexts [113,114].…”

Section: Revised Gup In Higher Dimensionsmentioning

confidence: 99%

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Knipfer

Köppel

Mureika

et al. 2019

J. Cosmol. Astropart. Phys.

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In this paper we consider generalized uncertainty principle (GUP) effects in higher dimensional black hole spacetimes via a nonlocal gravity approach. We study three possible modifications of momentum space measure emerging from GUP, including the original Kempf-Mangano-Mann (KMM) proposal. By following the KMM model we derive a family of black hole spacetimes. The case of five spacetime dimensions is a special one. We found an exact black hole solution with a Barriola-Vilenkin monopole at the origin. This object turns out to be the end point of the black hole evaporation. Interestingly for smaller masses, we found a "naked monopole" rather than a generic naked singularity. We also show that the Carr-Lake-Casadio-Scardigli proposal leads to mild modifications of spacetime metrics with respect to the Schwarzschild-Tangherlini solution. Finally, by demanding the same degree of convergence in the ultraviolet regime for any spacetime dimension, we derive a family of black hole solutions that fulfill the gravity self-completeness paradigm. The evaporation of such black holes is characterized by a fluctuating luminosity, which we dub a lighthouse effect.

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Section: Revised Gup In Higher Dimensionsmentioning

confidence: 99%

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Knipfer

Köppel

Mureika

et al. 2019

J. Cosmol. Astropart. Phys.

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“…form V ef f = −G M r (1 + α cos(mr + θ)) (1.4) where θ is an arbitrary parameter. Such a potential clearly has no Newtonian limit and could be ruled out immediately on this basis [20,31]. However, since the extra force component averages out to zero, for sub-millimeter wavelength oscillations and α = O(1) such an oscillating correction could remain undetectable by current experiments and astrophysical observations due to finite accuracy in length and force measurements.…”

Section: Introductionmentioning

confidence: 96%

“…Such parametrizations are motivated by viable extensions of General Relativity and include Yukawa interactions leading to an effective gravitational potential V ef f = −G M r (1 + αe −mr ) (1.1) * leandros@uoi.gr and a power-law ansatz of the form [13] V ef f = −G M r (1 + β k ( 1 mr ) k−1 ) (1.2) arising for example in the context of some brane world models [14][15][16][17]. The Yukawa interaction parametrization (1.1) is motivated by the weak gravitational field limit solution of a point mass in a wide range of extensions of GR including f (R) theories [18][19][20] massive Brans-Dicke (BD) [21][22][23] and scalar tensor theories, compactified extra dimension models [24][25][26][27][28][29] etc. In each of these models the mass scale m has a different physical origin.…”

Section: Introductionmentioning

confidence: 99%

Submillimeter spatial oscillations of Newton’s constant: Theoretical models and laboratory tests

Perivolaropoulos

2017

Phys. Rev. D

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We investigate the viability of sub-millimeter wavelength oscillating deviations from the Newtonian potential at both the theoretical and the experimental/observational level. At the theoretical level such deviations are generic predictions in a wide range of extensions of General Relativity (GR) including f (R) theories, massive Brans-Dicke (BD)-scalar tensor theories, compactified extra dimension models and nonlocal extensions of GR. However, the range of parameters associated with such oscillating deviations is usually connected with instabilities present at the perturbative level. An important exception emerges in nonlocal gravity theories where oscillating deviations from Newtonian potential occur naturally on sub-millimeter scales without any instabilities. As an example of a model with unstable Newtonian oscillations we review an f (R) expansion around General Relativity of the form f (R) = R + 1 6m 2 R 2 with m 2 < 0 pointing out possible stabilization mechanisms. As an example of a model with stable Newtonian oscillations we discuss nonlocal gravity theories. If such oscillations are realized in Nature on sub-millimeter scales, a signature is expected in torsion balance experiments testing the validity of Newton's law. We search for such a signature in the torsion balance data of the Washington experiment [1] (combined torque residuals of experiments I, II, III) testing Newton's law at sub-millimeter scales. We show that an oscillating residual ansatz with spatial wavelength λ 0.1mm provides a better fit to the data compared to the residual Newtonian constant ansatz by ∆χ 2 = −15. Similar improved fits however, also occur in about 10% of Monte Carlo realization of Newtonian data on similar or larger scales. Thus, the significance level of this improved fit is at a level of not more than 2σ. The energy scale corresponding to this best fit wavelength is identical to the dark energy length scale λ de ≡ 4 c/ρ de ≈ 0.1mm.

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“…The Yukawa parametrization is the most commonly used parametrization for testing for deviations from Newton's law on sub-mm scales. It is generic and well motivated theoretically as it is a natural prediction in the context of a wide range of modified gravity theories including Brans-Dicke [51][52][53], scalar-tensor [54][55][56][57] and f (R) theories [58][59][60]. It is also a natural prediction of theories involving compactified extra dimensions such as Kaluza-Klein theories [61].…”

Section: Introductionmentioning

confidence: 99%

Hints of modified gravity in cosmos and in the lab?

Perivolaropoulos

Kazantzidis

2019

Int. J. Mod. Phys. D

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General Relativity (GR) is consistent with a wide range of experiments/observations from millimeter scales up to galactic scales and beyond. However, there are reasons to believe that GR may need to be modified because it includes singularities (it is an incomplete theory) and also it requires fine-tuning to explain the accelerating expansion of the universe through the cosmological constant. Therefore, it is important to check various experiments and observations beyond the above range of scales for possible hints of deviations from the predictions of GR. If such hints are found it is important to understand which classes of modified gravity theories are consistent with them. The goal of this review is to summarize recent progress on these issues. On sub millimeter scales we show an analysis of the data of the Washington experiment [1] searching for modifications of Newton's Law on sub-millimeter scales and demonstrate that a spatially oscillating signal is hidden in this dataset. We demonstrate that even though this signal cannot be explained in the context of standard modified theories (viable scalar tensor and f (R) theories), it is a rather generic prediction of nonlocal gravity theories. On cosmological scales we review recent analyses of Redshift Space Distortion (RSD) data which measure the growth rate of cosmological perturbations at various redshifts and show that these data are in some tension with the ΛCDM parameter values indicated by Planck/2015 CMB data at about 3σ level. This tension can be reduced by allowing for an evolution of the effective Newton constant that determines the growth rate of cosmological perturbations. We conclude that even though this tension between the data and the predictions of GR could be due to systematic/statistical uncertainties of the data, it could also constitute early hints pointing towards a new gravitational theory.

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On the Newtonian limit of metric f(R) gravity

Cited by 10 publications

References 14 publications

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Generalized uncertainty principle and black holes in higher dimensional self-complete gravity

Submillimeter spatial oscillations of Newton’s constant: Theoretical models and laboratory tests

Hints of modified gravity in cosmos and in the lab?

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