Tidal Deformability of Neutron Stars in Unimodular Gravity

Unimodular gravity is a modified theory with respect to general relativity by an extra condition that the determinant of metric fixed. Especially, if energy-momentum tensor not imposed be conserved separately, new geometric structure will appear potential observational signatures. In this paper, we study tidal deformability compact star in unimodular under assumption non-conserved tensor. Both electric-type and magnetic-type quadrupole Love numbers are calculated for neutron stars using polytrope model. It found monotonically increasing, but ones decreasing, increase non-conservation parameter. Compared data from detected gravitational-wave events, small negative parameter favored.