Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling

Abstract

We identify a class of scalar-tensor theories with coupling between the scalar and the Gauss-Bonnet invariant that exhibit spontaneous scalarization for both black holes and compact stars. In particular, these theories formally admit all of the stationary solutions of general relativity, but these are not dynamically preferred if certain conditions are satisfied. Remarkably, black holes exhibit scalarization if their mass lies within one of many narrow bands. We find evidence that scalarization can occur in neutron stars as well.

v2: Five pages, three figures. Minor corrections, references added. v3: Matches version published in Phys. Rev. Lett

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• Inflation inside non-topological defects and scalar black holes
• Spin-Induced Nonlinear Scalarization of Kerr Black Holes in Einstein-scalar-Gauss-Bonnet Gravity
• Tests of scalar polarizations with multi-messenger events
• On the construction of asymptotically flat initial data in scalar-tensor effective field theory