Neutron stars in massive scalar-Gauss-Bonnet gravity: Spherical structure and time-independent perturbations

Kavli Affiliate: Lijing Shao

| First 5 Authors: Rui Xu, Yong Gao, Lijing Shao, ,

| Summary:

The class of scalar-tensor theories with the scalar field coupling to the
Gauss-Bonnet invariant has drawn great interest since solutions of spontaneous
scalarization were found for black holes in these theories. We contribute to
the existing literature a detailed study of the spontaneously scalarized
neutron stars (NSs) in a typical theory where the coupling function of the
scalar field takes the quadratic form and the scalar field is massive. The
investigation here includes the spherical solutions of the NSs as well as their
perturbative properties, namely the tidal deformability and the moment of
inertia, treated in a unified and extendable way under the framework of
spherical decomposition. We find that while the mass, the radius, and the
moment of inertia of the spontaneously scalarized NSs show very moderate
deviations from those of the NSs in general relativity (GR), the tidal
deformability exhibits significant differences between the solutions in GR and
the solutions of spontaneous scalarization for certain values of the parameters
in the scalar-Gauss-Bonnet theory. As a result, the celebrated universal
relation between the moment of inertia and the tidal deformability of neutron
stars breaks down. With the mass and the tidal deformability of NSs attainable
in the gravitational waves from binary NS mergers, the radius measurable using
the X-ray satellites, and the moment of inertia accessible via the
high-precision pulsar timing techniques, future multi-messenger observations
can be contrasted with the theoretical results and provide us necessary
information for building up theories beyond GR.

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