Question

maxwells equations describe fields (electric and magnetic) and geometry. maxwells description of gauss law for electric fields and gauss law for magnetic fields both describe the flux of a field through a geometric surface. gravity may also be described by a gravitational field, and there is a corresponding form of gauss law for gravitational fields relating the flux of the gravitational field through a surface to the mass enclosed by that surface. if the gravitational field is defined as the force per unit mass experienced by a test mass, which one of maxwells equations does the gravitational form of gauss law most resemble?
gauss law for magnetic fields because there are no dipole masses.
gauss law for electric fields, but with only positive \charge\, since mass cant be negative.
gauss law for magnetic fields with mass dipoles replacing magnetic dipoles.
gauss law for electric fields with mass dipoles replacing magnetic dipoles.

Explanation:

Gauss' Law for electric fields relates the electric flux through a surface to the enclosed electric charge. Here, the gravitational form of Gauss' Law relates the gravitational flux through a surface to the enclosed mass. Mass is analogous to positive charge (as mass can't be negative like electric charge can be positive or negative in Gauss' Law for electric fields). So it most resembles Gauss' Law for electric fields with the understanding that mass is like a positive - only "charge".

Answer:

Gauss' Law for electric fields, but with only positive "charge", since mass can't be negative.