An effective action model of dynamically scalarizing binary neutron stars

Abstract

Gravitational waves can be used to test general relativity (GR) in the highly dynamical strong-field regime. Scalar-tensor theories of gravity are natural alternatives to GR that can manifest nonperturbative phenomena in neutron stars (NSs). One such phenomenon, known as dynamical scalarization, occurs in coalescing binary NS systems. Ground-based gravitational-wave detectors may be sensitive to this effect, and thus could potentially further constrain scalar-tensor theories. This type of analysis requires waveform models of dynamically scalarizing systems; in this work we devise an analytic model of dynamical scalarization using an effective action approach. For the first time, we compute the Newtonian-order Hamiltonian describing the dynamics of a dynamically scalarizing binary in a self-consistent manner. Despite only working to leading order, the model accurately predicts the frequency at which dynamical scalarization occurs. In conjunction with Landau theory, our model allows one to definitively establish dynamical scalarization as a second-order phase transition. We also connect dynamical scalarization to the related phenomena of spontaneous scalarization and induced scalarization; these phenomena are naturally encompassed into our effective action approach.

Updated to match published version

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Cited by in corpus (5)

• On the motion of hairy black holes in Einstein-Maxwell-dilaton theories
• Strong-field effects in massive scalar-tensor gravity for slowly spinning neutron stars and application to X-ray pulsar pulse profiles
• Axial quasi-normal modes of scalarized neutron stars with massive self-interacting scalar field
• Testing the Gravitational Weak Equivalence Principle in the Standard-Model Extension with Binary Pulsars
• Degeneracy in Studying the Supranuclear Equation of State and Modified Gravity with Neutron Stars