Cosmological implications of massive gravitons

Eckhardt, Donald H.; Pestaña, José Luis G.; Fischbach, Ephraim

doi:10.1016/j.newast.2009.07.005

Cited by 10 publications

(9 citation statements)

References 32 publications

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“…This implies that the results obtained in this paper can be used for the analysis of the interaction of slow fermions in the terrestrial laboratories coupled to gravitational waves, which are emitted by cosmological objects, within the context of massive gravity [4]. This might allow to understand the role of massive gravitons in the dynamics of the evolution of the Universe [28][29][30][31] and instabilities of black holes [32]- [33].…”

Section: Discussionmentioning

confidence: 99%

Effective low-energy gravitational potential for slow fermions coupled to linearized massive gravity

2015

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We analyse the Dirac equation for slow fermions coupled to linearised massive gravity above the Minkowski background and derive the effective low-energy gravitational potential. The obtained results can be used in terrestrial laboratories for the detection of gravitational waves and fluxes of massive gravitons emitted by cosmological objects. We also calculate the neutron spin precession within linearised massive gravity, which in principle can be measured by neutron interferometers.

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Section: Discussionmentioning

confidence: 99%

Effective low-energy gravitational potential for slow fermions coupled to linearized massive gravity

2015

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“…And the Milne Universe is in total accord with SNe Ia observations without the need for dark matter or dark energy [19]. The Milne Universe is not especially sensitive to the value of µ chosen, just as long as it is greater than zero; but by choosing …”

Section: The Expanding Universementioning

confidence: 76%

Revamping Newtonian Gravity

Eckhardt¹,

Pestaña²

2014

IJG

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The nineteenth century's quest for the missing matter (Vulcan) ended with the publication of Einstein's General Theory of Relativity. We contend that the current quest for the missing matter is parallel in its perseverance and in its ultimate futility. After setting the search for dark matter in its historic perspective, we critique extant dark matter models and offer alternative explanations-derived from a Lorentz-invariant Lagrangian-that will, at the very least, sow seeds of doubt about the existence of dark matter.

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“…Yukawa potential 1σ bound from weak lensing power spectrum of cluster at z= 1.2 [44] 6.00 × 10 −32 Using Holmberg galaxy cluster by assuming scale size around 580 kpc [42] 1.10 × 10 −29 1.64σ (90%) bound from galaxy cluster Abell 1689 [45] 1.37 × 10 −29 2σ bound from the precession of Mercury [78] 7.20 × 10 −23 1.64σ (90%) bound using trajectories of S2 stars near the galactic center [46] 2.91 × 10 [36] 7.60 × 10 −20 90% upper limit from GW170104 [37] 7.70 × 10 −23 By studying the impacts of a mg on the B-mode polarization of CMB [79] ∼ 9.7 × 10 −33 Table 2: Some robust bounds on graviton mass mg in eV obtained by using the phenomenological implications of massive gravity theories. For some more interesting works and detailed review see [32,38,46,80,81] galaxy clusters provide direct observational results with least input assumptions about cluster dynamics. Moreover, no modelling or assumptions are required about the baryonic mass profile and galaxy distribution within the galaxy cluster in weak lensing studies of clusters, as required for instance in Desai's work.…”

Section: Hypothesismentioning

confidence: 99%

Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

et al. 2018

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In General Relativity (GR), the graviton is massless. However, a common feature in several theoretical alternatives of GR is a non-zero mass for the graviton. These theories can be described as massive gravity theories. Despite many theoretical complexities in these theories, on phenomenological grounds the implications of massive gravity have been widely used to put bounds on graviton mass. One of the generic implications of giving a mass to the graviton is that the gravitational potential will follow a Yukawa-like fall off. We use this feature of massive gravity theories to probe the mass of graviton by using the largest gravitationally bound objects, namely galaxy clusters. In this work, we use the mass estimates of galaxy clusters measured at various cosmologically defined radial distances measured via weak lensing (WL) and Sunyaev-Zeldovich (SZ) effect. We also uses the model independent values of Hubble parameter H(z) smoothed by a non-parametric method, Gaussian process. Within 1σ confidence region, we obtain the mass of graviton m g < 5.9 × 10 −30 eV with the corresponding Compton length scale λ g > 6.82 Mpc from weak lensing and m g < 8.31 × 10 −30 eV with λ g > 5.012 Mpc from SZ effect. This analysis improves the upper bound on graviton mass obtained earlier from galaxy clusters.

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Cosmological implications of massive gravitons

Cited by 10 publications

References 32 publications

Effective low-energy gravitational potential for slow fermions coupled to linearized massive gravity

Effective low-energy gravitational potential for slow fermions coupled to linearized massive gravity

Revamping Newtonian Gravity

Bounds on graviton mass using weak lensing and SZ effect in galaxy clusters

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