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LAGRANGIAN FORMULATION OF MOND; MOND FIELD IN PERTURBED SPHERICAL SYSTEMS

Matsuo, Reijiro
http://rave.ohiolink.edu/etdc/view?acc_num=case1278389814

Abstract Details

2010, Doctor of Philosophy, Case Western Reserve University, Physics.
We investigate how perturbation of a spherically symmetric system would affect the gravitational field. In particular, we study systems of a finite-mass test particle inside a spherical shell, perturbed and unperturbed spherical shells. For a system of test particle inside a spherical shell, we find non-vanishing acceleration for that test particle in both GR and MOND. In GR, the acceleration is highly suppressed, and physically insignificant. In MOND, on the contrary, the acceleration of the point particle can be a significant fraction of the field just outside of the spherical shell. For a multiple-shell we show that perturbation field within the shell is screened by the spherically symmetric component of the mass, and is reduced as the spherically symmetric component is increased. However, for a very light inner shell, the perturbation to the field can be enhanced. The enhancement is typically larger for smaller inner shells, and the perturbed field can be amplified by almost a factor of 2. The relevance to the effect of external fields on galaxy dynamics is discussed.
Glenn Starkman (Advisor)
Corbin Covault (Committee Member)
Harsh Mathur (Committee Member)
Barry Wessels (Committee Member)
MOND; ¿¿¿¿j; vector ¿¿¿¿¿¿eld

Recommended Citations

Citations

  • Matsuo, R. (2010). LAGRANGIAN FORMULATION OF MOND; MOND FIELD IN PERTURBED SPHERICAL SYSTEMS [Doctoral dissertation, Case Western Reserve University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=case1278389814

    APA Style (7th edition)

  • Matsuo, Reijiro. LAGRANGIAN FORMULATION OF MOND; MOND FIELD IN PERTURBED SPHERICAL SYSTEMS. 2010. Case Western Reserve University, Doctoral dissertation. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=case1278389814.

    MLA Style (8th edition)

  • Matsuo, Reijiro. "LAGRANGIAN FORMULATION OF MOND; MOND FIELD IN PERTURBED SPHERICAL SYSTEMS." Doctoral dissertation, Case Western Reserve University, 2010. http://rave.ohiolink.edu/etdc/view?acc_num=case1278389814

    Chicago Manual of Style (17th edition)

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© 2010, all rights reserved.
This open access ETD is published by Case Western Reserve University School of Graduate Studies and OhioLINK.