Weyl conformal symmetry for gravitation and cosmology

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RK Nesbet*

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Nesbet, R. (2022). Weyl conformal symmetry for gravitation and cosmology. Annals of Mathematics and Physics, 5(2), 100–102. https://doi.org/10.17352/amp.000047
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Weyl H. Reine Infinitesimalgeometrie. Math.Zeit.1918; 2: 384.

Weyl H. Gravitation und Elektrizit[Math Processing Error]t. Sitzungber.Preuss.Akad.Wiss. 1918; 465.

Mannheim PD, Kazanas D. Exact vacuum solution to conformal Weyl gravity and galactic rotation curves. ApJ 1989; 342: 635.

Mannheim PD. Some exact solutions to conformal Weyl gravity. Annals N.Y.Acad.Sci. 1991; 631: 194.

Mannheim PD, Kazanas D. Newtonian limit of conformal gravity and the lack of necessity of the second order Poisson equation. Gen.Rel.Grav. 1994; 26: 337.

Mannheim PD. Alternatives to dark matter and dark energy, Prog.Part.Nucl.Phys. 2006; 56: 340.

Mannheim PD. Schwarzschild limit of conformal gravity in the presence of macroscopic scalar fields. Phys.Rev.D 2007; 75: 124006.

Nesbet RK. Cosmological implications of conformal field theory. Mod.Phys.Lett.A 2011; 26: 893.

Nesbet RK. Dark energy density predicted and explained. Europhys.Lett. 2019; 125: 19001.

Nesbet RK. Dark galactic halos without dark matter. Europhys.Lett. 2015; 109: 59001.

Nesbet RK. Conformal theory of gravitation and cosmology. Europhys.Lett. 2020; 131: 10002.

Friedmann A. On the possibility of the world with constant negative curvature. Z.Phys. 1922; 10: 377.

Mannheim PD. Are galactic rotation curves really flat? ApJ 1997; 479: 659.

O’Brien JG, Chiarelli TL, Mannheim PD. Universal properties of centripetal accelerations of spiral galaxies. Phys.Lett.B 2018; 782: 433.

Mannheim PD, O'Brien JG. Impact of a global quadratic potential on galactic rotation curves. Phys Rev Lett. 2011 Mar 25;106(12):121101. doi: 10.1103/PhysRevLett.106.121101. Epub 2011 Mar 23. PMID: 21517292.

Mannheim PD, O’Brien JG, Fitting galactic rotation curves with conformal gravity and a global quadratic potential. Phys.Rev.D 2012; 85: 124020.

O’Brien JG, Mannheim PD. Fitting dwarf galaxy rotation curves with conformal gravity. MNRAS 2012; 421: 1273.

O’Brien JG, Moss RJ. Rotation curve for the Milky Way galaxy in conformal gravity. J.Phys.Conf. 2015; 615: 012002.

Higgs PW. Broken symmetries and the masses of gauge bosons. Phys.Rev.Lett. 1964; 13: 508.

Cottingham WN, Greenwood DA. An Introduction to the Standard Model of Particle Physics (Cambridge Univ. Press, New York, 1998).

Nesbet RK. Conformal Higgs model: gauge fields can produce a 125GeV resonance. Mod.Phys.Lett.A 2021; 36: 2150161.

Milgrom M. A modification of the Newtonian dynamics: implications for galaxies. ApJ 1983; 270: 371.

Sanders RH. The Dark Matter Proble. (Cambridge Univ. Press, New York, 2010).

Famaey B, McGaugh SS. Modified Newtonian Dynamics (MOND): Observational Phenomenology and Relativistic Extensions. Living Rev Relativ. 2012;15(1):10. doi: 10.12942/lrr-2012-10. Epub 2012 Sep 7. PMID: 28163623; PMCID: PMC5255531.

Tully RB, Fisher JR. A new method of determining distances to galaxies. Astron.Astrophys. 1977; 54: 661.

McGaugh SS. The baryonic Tully-Fisher relation of galaxies with extended rotation curves and the stellar mass of rotating galaxies. ApJ 2005; 632: 859.

McGaugh SS. Novel test of modified Newtonian dynamics with gas rich galaxies. Phys Rev Lett. 2011 Mar 25;106(12):121303. doi: 10.1103/PhysRevLett.106.121303. Epub 2011 Mar 21. Erratum in: Phys Rev Lett. 2011 Nov 25;107(22):229901. PMID: 21517295.

McGaugh SS, Lelli F, Schombert JM. Radial Acceleration Relation in Rotationally Supported Galaxies. Phys Rev Lett. 2016 Nov 11;117(20):201101. doi: 10.1103/PhysRevLett.117.201101. Epub 2016 Nov 9. PMID: 27886485.

Nesbet RK. Theoretical implications of the galactic radial acceleration relation of McGaugh, Lelli, and Schombert. MNRAS 2018; 476: L69.