Abstract

Abstract We study the thermal evolution of isolated neutron stars in scalar–tensor theories for the first time. Whether rapid cooling due to the direct Urca process occurs or not is an interesting question from the viewpoint of the temperature observation of isolated neutron stars. Moreover, investigation of the cooling effect of nucleon superfluidity also has large uncertainties, though it is important in modern cooling theory. The cooling effect is typically influenced by the proton fraction and the central density. If a fifth force is mediated due to a modification of gravity, the relation between the central density and mass of neutron stars differs from that in general relativity, and the cooling curve is also naively expected to vary. We find that an unscreened fifth force near the surface of neutron stars changes the mass–central density relation, and the direct Urca process can be triggered even for neutron stars with smaller mass. We also present cooling curves including nucleon superfluidity under the scalar–tensor theory. These results show that it might be useful to test gravitational theories with cooling observations of neutron stars.

Highlights

  • The recent observations of gravitational waves from binary system [1] play an important role in astrophysics and cosmology for testing the relativistic nature of gravity

  • One of the most significant results of LIGO and VIRGO is the detection of gravitational wave event (GW170817) from a neutron star (NS) binary and its electromagnetic counterpart (GRB170817A) [2], which provides a stringent constraint on the propagation speed of the gravitational waves [3]

  • We show how the attractive nature of the fifth force affects to the cooling curve, which can be applicable for other Chameleon theories

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Summary

Introduction

The recent observations of gravitational waves from binary system [1] play an important role in astrophysics and cosmology for testing the relativistic nature of gravity. For the first time, we investigate how the cooling curve of NSs changes in the scalar-tensor theory proposed in [48] This model can be tightly constrained by the local gravity experiments [49], it could potentially change the structure of neutron stars from the one in general relativity as shown in [48] and is suitable to see the effect on the cooling curve.

Theory
Equation of state
Numerical solutions
SETUP OF NEUTRON STAR COOLING
Cooling Curves without Nucleon Superfluidity
Cooling Curves with Nucleon Superfluidity
Discussion & Conclusion
Einstein frame description
Chameleon mechanism
Massless Brans-Dicke theory
Full Text
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