Dark matter in galaxies according to the tensor-four-scalars theory III

Abstract

We continue the study of the tensor-four-scalars theory which is a modification of general relativity. We include normal matter by applying the displace, cut, and reflect method to our previous vacuum solutions with dark halo. The resulting disklike solution has physical and unphysical features: the matter density for large radius is proportional to the forth power of the circular velocity in agreement with the Tully-Fisher relation; but the radial pressure is negative.