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→Lagrangian: adjust exponents so that each term in S contains s^2 |
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If dark matter is described as a merely Lorentz-covariant field, then L<sub>D</sub> might take the form
:<math> L_D = ( {g_\alpha}_\beta - s {\eta_\alpha}_\beta ) s
or
:<math> L_D = ( g^{\mu \nu} s )_{, \nu} s^
where s is a scale factor, the square-root of the classical Newtonian gravitational potential. M and λ are Lagrange multipliers. (See also Nordström's theory of gravitation and the Weyl curvature tensor.)
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