Gravitational Yukawa potential from a Yang-Mills theory for gravity

Dehnen, H.; Ghaboussi, F.

doi:10.1007/bf00668779

Cited by 5 publications

(3 citation statements)

References 7 publications

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“…and F 1 (k, t) = g 1 n(k, t). At this point, it should be noticed that this new wave-kinetic equation is coupled with the radiation transport Equation (22) in two different ways: first, through the expression of the force function F 0 , which depends on the radiation intensity I(r, t) and, second, through the dependence of the diffusion coefficient D on the density of matter, or equivalently, on the quasi-probability W.…”

Section: Diffusive Radiationmentioning

confidence: 99%

“…We can study the evolution of the SN system, associated with matter coupled with a background, as described by the wave-kinetic Equation (26) and the radiation transport Equation (22). We start from a given equilibrium (I 0 , W 0 , n 0 ) and consider perturbations (Ĩ k ,W k ,ñ k ) evolving with frequency ω and wavevector k. Replacing this in Equation ( 26), we obtain, after linearization:…”

Section: Modified Jeans Instabilitymentioning

confidence: 99%

“…First, we incorporat nonstandard gravity, replacing the usual Newton potential by a Yukawa potential. Such potentials naturally occur in plasma theory and have also been explored in gravitational models [22][23][24][25]. They introduce a characteristic scale length to the gravitational interactions, therefore reducing the potential interactions to finite distances.…”

Section: Introductionmentioning

confidence: 99%

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Schrödinger–Newton Model with a Background

Mendonça

2021

Symmetry

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This paper considers the Schrödinger–Newton (SN) equation with a Yukawa potential, introducing the effect of locality. We also include the interaction of the self-gravitating quantum matter with a radiation background, describing the effects due to the environment. Matter and radiation are coupled by photon scattering processes and radiation pressure. We apply this extended SN model to the study of Jeans instability and gravitational collapse. We show that the instability thresholds and growth rates are modified by the presence of an environment. The Yukawa scale length is more relevant for large-scale density perturbations, while the quantum effects become more relevant at small scales. Furthermore, coupling with the radiation environment modifies the character of the instability and leads to the appearance of two distinct instability regimes: one, where both matter and radiation collapse together, and others where regions of larger radiation intensity coincide with regions of lower matter density. This could explain the formation of radiation bubbles and voids of matter. The present work extends the SN model in new directions and could be relevant to astrophysical and cosmological phenomena, as well as to laboratory experiments simulating quantum gravity.

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Section: Diffusive Radiationmentioning

confidence: 99%

Section: Modified Jeans Instabilitymentioning

confidence: 99%