Galactic rotation curves and quadratic Lagrangians

Details Galactic rotation curves and quadratic Lagrangians Galactic rotation curves and quadratic Lagrangians

Mar 1991

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991mnras.249..339r&link_type=abstract

Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 249, March 15, 1991, p. 339-342.

Statistics

Computation

3

Field Theory (Physics), Galactic Rotation, Gravitation Theory, Newton Theory, Computational Astrophysics, Poisson Equation, Quadratic Equations

Scientific paper

The Newtonian limit of gravitational theory with a quadratic Lagrangian is derived. Subject to spherical symmetry the resulting equation has an exponentially increasing term, rather than a logarithmic one as required for the constant rotation curves observed for galaxies. It is argued that if quadratic Lagrangian theory explains constant galactic rotation curves then non-linearity must play an essential role.

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