Particlelike Distributions of the Higgs Field Nonminimally Coupled to Gravity

Füzfa, André; Rinaldi, Massimiliano; Schlogel, Sandrine

doi:10.1103/physrevlett.111.121103

Cited by 20 publications

(28 citation statements)

References 14 publications

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“…that was first examined in Ref. [35], where a constant density configuration was considered and values of the potential parameters have been taken as λ ∼ 0.1 and ν = 246 GeV. In our study we use realistic EOS and we implement the same numerical technique for matching the solutions at the surface of the star as in the previous case and observe whether this approach gives reasonable M (R) relations together with asymptotic flatness.…”

Section: B Higgs-like Potentialmentioning

confidence: 98%

Neutron star structure in the presence of nonminimally coupled scalar fields

2019

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We study the structure of neutron stars in scalar-tensor theories for the nonminimal coupling of the form (1 + κξφ 2 )R. We solve the hydrostatic equilibrium equations for two different types of scalar field potentials and three different equations of state representative of different degrees of stiffness. We obtain the mass-radius relations of the configurations and determine the allowed ranges for the term ξφ 2 at the center of the star and spatial infinity based on the measured maximum value of the mass for neutron stars and the recent constraints on the radius coming from gravitational wave observations. Thus we manage to limit the deviation of the model from general relativity. We examine the possible constraints on the parameters of the model and compare the obtained restrictions with the ones inferred from other cosmological probes that give the allowed ranges for the coupling constant only. In the case of the Higgs-like potential, we also find that the central value for the scalar field cannot be chosen arbitrarily but it depends on the vacuum expectation value of the field. Finally, we discuss the effect of the scalar field potential on the mass and the radius of the star by comparing the results obtained for the cases considered here.

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Section: B Higgs-like Potentialmentioning

confidence: 98%

Neutron star structure in the presence of nonminimally coupled scalar fields

2019

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“…The continuation at the non-linear level of these scalar clouds yields the scalarised BHs. For studies of a similar scalarisation in the context of horizonless configurations see, e.g., [50,51].…”

Section: Scalarisation Due To the φ 2 R Non-minimal Couplingmentioning

confidence: 99%

Black hole scalarization from the breakdown of scale invariance

Herdeiro

Radu

2019

Phys. Rev. D

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Electro-vacuum black holes are scale-invariant; their energy-momentum tensor is traceless. Quantum corrections of various sorts, however, can often produce a trace anomaly and a breakdown of scale-invariance. The (quantum-corrected) black hole solutions of the corresponding gravitational effective field theory (EFT) have a nonvanishing Ricci scalar. Then, the presence of a scalar field with the standard nonminimal coupling ξφ 2 R naturally triggers a spontaneous scalarisation of the corresponding black holes. This scalarisation phenomenon occurs for an (infinite) discrete set of ξ. We illustrate the occurrence of this phenomenon for two examples of static, spherically symmetric, asymptotically flat black hole solution of EFTs. In one example the trace anomaly comes from the matter sector -a novel, closed form, generalisation of the Reissner-Nordström solution with an F 4 correction -whereas in the other example it comes from the geometry sector -a noncommutative geometry generalization of the Schwarzschild black hole. For comparison, we also consider the scalarisation of a black hole surrounded by (non-conformally invariant) classical matter (Einstein-Maxwell-dilaton black holes). We find that the scalarised solutions are, generically, entropically favoured.

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“…We see that, for fixed mass and compactness, there exists only one value for the initial condition h c ¼ h 0 that yields a solution that tends to h ¼ 1 at spatial infinity (marked by a thicker line). This solution corresponds to the nontrivial, asymptotically flat, and spherically symmetric distribution of the Higgs field, which was named "Higgs monopole" in [12]. For slightly different initial conditions h c ≠ h 0 , the field either diverges (if h c > h 0 ) or tends to zero after some damped oscillations (if h c < h 0 ).…”

Section: Numerical Resultsmentioning

confidence: 99%

“…In this work we have studied in detail the static and spherically symmetric solutions, originally found in [12], of the equations of motion of a theory where the Higgs field in unitary gauge is nonminimally coupled to gravity. This model is inspired by Higgs inflation, where the coupling strength ξ is very large.…”

Section: Discussionmentioning

confidence: 99%

“…This solution was first described in [12], where the numerical evidence of nontrivial spherically symmetric solutions with a large spontaneous scalarization for certain values of the compactness and of the mass of the baryonic matter was presented. In the present paper, we would like to explore more properties of these new objects, with a comprehensive numerical and analytical study of the equations of motion.…”

Section: Introductionmentioning

confidence: 99%

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Particlelike solutions in modified gravity: The Higgs monopole

et al. 2014

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Higgs inflation has received remarkable attention in the last few years due to its simplicity and predictive power. The key point of this model is the nonminimal coupling to gravity in unitary gauge. As such, this theory is in fact a scalar-tensor modification of gravity that needs to be studied also below the energy scales of inflation. Motivated by this goal, we study in great analytical and numerical detail the static and spherically symmetric solutions of the equations of motion in the presence of standard baryonic matter, called "Higgs monopoles" and presented in Füzfa et al. [Phys. Rev. Lett. 111, 12 (2013)]. These particlelike solutions may arise naturally in tensor-scalar gravity with Mexican hat potential and are the only globally regular asymptotically flat solutions with finite classical energy. In the case when the parameters of the potential are taken to be the ones of the standard model, we find that the deviations from general relativity are extremely small, especially for bodies of astrophysical size and density. This allows us to derive a simplified description of the monopole, for which the metric inside the spherical matter distribution can be approximated by the standard metric of general relativity. We study how the properties of these monopoles depend on the strength of the nonminimal coupling to gravity and on the baryonic mass and compactness. An important and original result is the existence of a mechanism of resonant amplification of the Higgs field inside the monopole that comes into play for large nonminimal coupling. We show that this mechanism might degenerate into divergences of the Higgs field that reveal the existence of forbidden combinations of radius and baryonic energy density.

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Particlelike Distributions of the Higgs Field Nonminimally Coupled to Gravity

Cited by 20 publications

References 14 publications

Neutron star structure in the presence of nonminimally coupled scalar fields

Neutron star structure in the presence of nonminimally coupled scalar fields

Black hole scalarization from the breakdown of scale invariance

Particlelike solutions in modified gravity: The Higgs monopole

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