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Gravitational theoretical development supporting MOND

Chadwick, EA, Hodgkinson, TF and McDonald, GS 2013, 'Gravitational theoretical development supporting MOND' , Physical Review D (particles, fields, gravitation, and cosmology), 88 (024036) .

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Abstract

Conformal geometry is considered within a general relativistic framework. An invariant distant for proper time is defined and a parallel displacement is applied in the distorted space-time, modifying Einstein’s equation appropriately. A particular solution is introduced for the covariant acceleration potential that matches the observed velocity distribution at large distances from the Galactic Center, i.e. modified Newtonian dynamics. This explicit solution of a general framework that allows both curvature and explicit local expansion of space-time, thus reproduces the observed flattening of galaxys’ rotation curves without the need to assume the existence of dark matter. The large distance expansion rate is found to match the speed of a spherical shock wave.

Item Type: Article
Themes: Energy
Schools: Schools > School of Computing, Science and Engineering > Salford Innovation Research Centre (SIRC)
Journal or Publication Title: Physical Review D (particles, fields, gravitation, and cosmology)
Publisher: APS
Refereed: Yes
ISSN: 1550-7998
Related URLs:
Funders: STFC
Depositing User: GS McDonald
Date Deposited: 08 Aug 2014 17:45
Last Modified: 29 Oct 2015 00:10
References: [1] F. Zwicky, “Die Rotverschiebung von extragalaktischen Nebeln,” Helvetica Physica Acta, vol. 6, pp. 110–127, 1933. [2] The LHCb collaboration, “First evidence for the decay B0 s → μ+μ−,” European Organization for Nuclear Research (CERN), pp. CERN–PH–EP–2012–335, 2012. [3] M. Markevitz, A. Gonzalez, D. Clowe, A. Vikhlinin, L. David, W. Forman, C. Jones, S. Murray, and W. Tucker, “Direct constraints on the dark matter self-interaction crosssection from the merging galaxy cluster 1e0657-56,” Astrophysical Journal, vol. 606(2), pp. 819–824, 2003. [4] M. Milgrom, “Milgrom’s perspective on the Bullet Cluster,” The MOND pages, p. http://www.astro.umd.edu/∼ssm/mond/moti bullet.html, 2012. [5] R. Tully and J. Fisher, “A New Method of Determining Distances to Galaxies,” Astronomy and Astrophysics, vol. 54, pp. 661–673, 1977. [6] M. Milgrom, “A modification of the Newtonian dynamics as a possible alternative to the hidden mass hypothesis,” Astrophysical Journal, vol. 270, pp. 365–370, 1983. [7] S. McGaugh, “A Novel Test of the Modified Newtonian Dynamics with Gas Rich Galaxies,” Phys. Rev. Lett., vol. 106, p. 121303, 2011. [8] J. Bekenstein, “Relativistic gravitation theory for the modified Newtonian dynamics paradigm,” Phys. Rev. D., vol. 70, no. 8, p. 083509, 2004. [9] M. Seifert, “Stability of spherically symmetric solutions in modified theories of gravity,” Phys. Rev. D., vol. 76, no. 6, p. 064002, 2007. [10] P. Mannheim and D. Kazanas, “Exact vacuum solution to conformal Weyl gravity and galactic rotation curves,” Astrophysical Journal, vol. 342, pp. 635–638, 1989. [11] P. Mannheim, “Alternatives to dark matter and dark energy,” Progress in Particle and Nuclear Physics, vol. 56, pp. 340–445, 2006. [12] C. Masreliez, “Expanding spacetime theory - on the shape of spiral galaxies and their flat rotation curves,” http://www.estfound.org/galaxy.htm, 2012. [13] S. Capozziello, V. Cardone, and A. Troissi, “Dark energy and dark matter as curvature effects,” Journal of Cosmology and Astroparticle Physics, vol. JCAP08(2006)001, 2006. [14] T. Ma and S. Wang, “Gravitational field equations and theory of dark matter and dark energy,” arXiv:1206.5078, 2012. [15] H. Weyl, Gravitation and Electricity. Sitz. Berichte d. Preuss. Akad. d. Wissenschaften, 465, 1918. [16] A. Einstein, H. Lorentz, H. Weyl, and H. Minkowski, The principle of relativity. New York: Dover (originally published by Methuen 1923), 1952. [17] A. Eddington, The mathematical theory of relativity, 2nd edition. Cambridge University Press, Cambridge, 1924. [18] R. Schulman, A. Kox, M. Janssen, and J. Illy, Einsteins Collected Papers, Vol. 8A- 8B: The Berlin Years: Correspondence, 1914-1918. Princeton, New Jersey: Princeton University Press, 1997. [19] P. Dirac, General Theory of Relativity. New York: John Wiley and sons, 1975. [20] J. Bekenstein and M. Milgrom, “Does the missing mass problem signal the breakdown of newtonian gravity?” Astrophysical Journal, vol. 286, pp. 7–14, 1984. [21] L. Landau, “On shock waves at large distances from the place of their origin,” U.S.S.R. J.Phys, vol. 9, pp. 496–503, 1945. [22] G. B. Whitham, Linear and Nonlinear Waves,. New York: John Wiley and sons, Chap. 9, p.p. 330, 1974. [23] J. Smoller and B. Temple, “Shock-wave cosmology inside a black hole,” Proceedings of the National Academy of Sciences, vol. 100, no. 20, pp. 11 216–11 218, 2003. [Online]. Available: http://www.pnas.org/content/100/20/11216.abstract
URI: http://usir.salford.ac.uk/id/eprint/32086

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