On the gravitational potential of modified Newtonian dynamics
Copyright policy )On the gravitational potential of modified Newtonian dynamics
The mathematical structure of the Poisson equation of Modified Newtonian Dynamics (MOND) is studied. The appropriate setting turns out to be an Orlicz-Sobolev space whose Orlicz function is related to Milgrom's μ-function, where there exists existence and uniqueness of weak solutions. Since these do not have in principle much regularity, a further study is performed where the gravitational field is not too large, where MOND is most relevant. In that case the field turns out to be Hölder continuous. Quasilinear MOND is also analyzed.
- University of Valladolid Spain
Sistema solar, Galaxias, Approximation procedures, weak fields in general relativity and gravitational theory, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Poisson equation, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Astrophysical cosmology, Ecuaciones diferenciales parciales, Newtonian dynamics, Newtonian mechanics, gravitational potential, modified Newtonian dynamics, Functions and functionals, Potential theory, MOND, Dark matter, Gravitación, Measure theory, Galactic and stellar dynamics
Sistema solar, Galaxias, Approximation procedures, weak fields in general relativity and gravitational theory, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Poisson equation, Relativistic gravitational theories other than Einstein's, including asymmetric field theories, Astrophysical cosmology, Ecuaciones diferenciales parciales, Newtonian dynamics, Newtonian mechanics, gravitational potential, modified Newtonian dynamics, Functions and functionals, Potential theory, MOND, Dark matter, Gravitación, Measure theory, Galactic and stellar dynamics
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