Surface Density of Disk Galaxies in MOND

In this paper, we extend a paper by Milgrom (2009, MNRAS 398, 1023) dealing with the existence of a quasi-universal surface density for object of all mass and structure, if they are in the Newtonian regime, i.e., that their mean acceleration is larger than MOND typical acceleration <inline-formul...

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Main Authors: Antonino Del Popolo, Morgan Le Delliou
Format: Article
Language:English
Published: MDPI AG 2023-01-01
Series:Universe
Subjects:
Online Access:https://www.mdpi.com/2218-1997/9/1/32
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author Antonino Del Popolo
Morgan Le Delliou
author_facet Antonino Del Popolo
Morgan Le Delliou
author_sort Antonino Del Popolo
collection DOAJ
description In this paper, we extend a paper by Milgrom (2009, MNRAS 398, 1023) dealing with the existence of a quasi-universal surface density for object of all mass and structure, if they are in the Newtonian regime, i.e., that their mean acceleration is larger than MOND typical acceleration <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>a</mi><mn>0</mn></msub></semantics></math></inline-formula>. This result is in agreement with Donato et al. (2009)’s results, claiming the existence of a quasi-universal surface density in all masses in galaxies. The Milgrom paper also predicts that objects with mean inner acceleration smaller than the values discussed do not show the quasi-universal behavior of the surface density discussed. In the present paper, we extend the result of Milgrom’s paper, based on a point mass model, considering spiral galaxies, modelled with a double exponential disk. Similar to Milgrom’s results, we find the existence of a universal surface density for galaxies with large surface density, and a different behavior for galaxies having small surface density.
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spelling doaj.art-6a4ba64bbdae49f7974d63d93a1f84c32023-12-01T00:59:11ZengMDPI AGUniverse2218-19972023-01-01913210.3390/universe9010032Surface Density of Disk Galaxies in MONDAntonino Del Popolo0Morgan Le Delliou1Dipartimento di Fisica e Astronomia, University of Catania, Viale Andrea Doria 6, 95125 Catania, ItalyInstitute of Theoretical Physics, School of Physical Science and Technology, Lanzhou University, No. 222, South Tianshui Road, Lanzhou 730000, ChinaIn this paper, we extend a paper by Milgrom (2009, MNRAS 398, 1023) dealing with the existence of a quasi-universal surface density for object of all mass and structure, if they are in the Newtonian regime, i.e., that their mean acceleration is larger than MOND typical acceleration <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>a</mi><mn>0</mn></msub></semantics></math></inline-formula>. This result is in agreement with Donato et al. (2009)’s results, claiming the existence of a quasi-universal surface density in all masses in galaxies. The Milgrom paper also predicts that objects with mean inner acceleration smaller than the values discussed do not show the quasi-universal behavior of the surface density discussed. In the present paper, we extend the result of Milgrom’s paper, based on a point mass model, considering spiral galaxies, modelled with a double exponential disk. Similar to Milgrom’s results, we find the existence of a universal surface density for galaxies with large surface density, and a different behavior for galaxies having small surface density.https://www.mdpi.com/2218-1997/9/1/32galaxiesalternative theory of gravitygalaxies surface density
spellingShingle Antonino Del Popolo
Morgan Le Delliou
Surface Density of Disk Galaxies in MOND
Universe
galaxies
alternative theory of gravity
galaxies surface density
title Surface Density of Disk Galaxies in MOND
title_full Surface Density of Disk Galaxies in MOND
title_fullStr Surface Density of Disk Galaxies in MOND
title_full_unstemmed Surface Density of Disk Galaxies in MOND
title_short Surface Density of Disk Galaxies in MOND
title_sort surface density of disk galaxies in mond
topic galaxies
alternative theory of gravity
galaxies surface density
url https://www.mdpi.com/2218-1997/9/1/32
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AT morganledelliou surfacedensityofdiskgalaxiesinmond