The p-Laplacian as a framework for generalizing Newtonian gravity and Milgromian gravitation

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F25%3A10509576" target="_blank" >RIV/00216208:11320/25:10509576 - isvavai.cz</a>

Result on the web

<a href="https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tDb~BY4T3A" target="_blank" >https://verso.is.cuni.cz/pub/verso.fpl?fname=obd_publikace_handle&handle=tDb~BY4T3A</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1051/0004-6361/202554793" target="_blank" >10.1051/0004-6361/202554793</a>

Result language

angličtina

Original language name

The p-Laplacian as a framework for generalizing Newtonian gravity and Milgromian gravitation

Original language description

Context. The radial acceleration relation (RAR) follows from Milgromian gravitation (MoND) and velocity dispersion data of many dwarf spheroidal galaxies (dSphs) and galaxy clusters have been reported to be in tension with it. Aims. We consider the generalized Poisson equation (GPE), expressed in terms of the p-Laplacian, which has been applied in electrodynamics, and investigate whether it can address these tensions. Methods. From the GPE we derive a generalized RAR characterized by the p parameter from the p-Laplacian and a velocity dispersion formula for a Plummer model. We apply these models to Milky Way and Andromeda dSphs and HIFLUGS galaxy clusters and derive a p parameter for each dSph and galaxy cluster. We explore a relation of p to the mass density of the bound system, and alternatively a relation of p to the external field predicted from Newtonian gravity Results. This ansatz allows the deviations of dSphs and galaxy clusters from the RAR without the need of introducing dark matter. Data points deviate from the Milgromian case, p = 3, with up to 5 sigma-confidence. Also, we find the model predicts velocity dispersions, each of which lies in the 1 sigma-range of their corresponding data point allowing the velocity dispersion to be predicted for early-type dwarf satellite galaxies from their baryonic density. The functional relation between the mass density of the bound system and p suggests p to increase with decreasing density. We find for the critical cosmological density p(rho(crit)) = 12.27 +/- 0.39. This implies significantly different behaviour of gravitation on cosmological scales. Alternatively, the functional relation between p and the external Newtonian gravitational field suggests p to decrease with increasing field strength. Conclusions. The GPE fits the RAR data of dSphs and galaxy clusters, reproduces the velocity dispersions of the dSphs, gives a prediction for the velocity dispersion of galaxy clusters from their baryonic density and may explain the non-linear behaviour of galaxies in regions beyond the Newtonian regime.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

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OECD FORD branch

10308 - Astronomy (including astrophysics,space science)

Project

—

Continuities

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year

2025

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

Astronomy &amp; Astrophysics

ISSN

0004-6361

e-ISSN

1432-0746

Volume of the periodical

698

Issue of the periodical within the volume

cerven

Country of publishing house

FR - FRANCE

Number of pages

12

Pages from-to

A167

UT code for WoS article

001508300200008

EID of the result in the Scopus database

2-s2.0-105008904264