Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations

Abstract

Neutron stars are perfect candidates to investigate the effects of a modified gravity theory, since the curvature effects are significant and more importantly, potentially testable. In most cases studied in the literature in the context of massive scalar-tensor theories, inflationary models were examined. The most important of scalar-tensor models is the Higgs model, which, depending on the values of the scalar field, can be approximated by different scalar potentials, one of which is the inflationary. Since it is not certain how large the values of the scalar field will be at the near vicinity and inside a neutron star, in this work we will answer the question, which potential form of the Higgs model is more appropriate in order for it to describe consistently a static neutron star. As we will show numerically, the non-inflationary Higgs potential, which is valid for certain values of the scalar field in the Jordan frame, leads to extremely large maximum neutron star masses, however the model is not self-consistent, because the scalar field approximation used for the derivation of the potential, is violated both at the center and at the surface of the star. These results shows the uniqueness of the inflationary Higgs potential, since it is the only approximation for the Higgs model, that provides self-consistent results.

Invited article to appear in the Symmetry MDPI special issue "The Nuclear Physics of Neutron Stars"

References in corpus (31)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• Constraints on a phenomenologically parameterized neutron-star equation of state
• Palatini Approach to Modified Gravity: f(R) Theories and Beyond
• Higgs inflation: consistency and generalisations
• Neutron-star radius constraints from GW170817 and future detections
• Extreme neutron stars from Extended Theories of Gravity
• Higgs inflation at the critical point
• Extended Gravity Description for the GW190814 Supermassive Neutron Star
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• I-Love-Q, Spontaneously: Slowly Rotating Neutron Stars in Scalar-Tensor Theories
• Slowly rotating neutron and strange stars in $R^2$ gravity
• A General-relativistic Determination of the Threshold Mass to Prompt Collapse in Binary Neutron Star Mergers
• Equation of state constraints from the threshold binary mass for prompt collapse of neutron star mergers
• Tests of the nuclear equation of state and superfluid and superconducting gaps using the Cassiopeia A neutron star
• Neutron stars in $f(\mathtt{R},{\mathtt{L}}_{\mathtt{m}})$ gravity with realistic equations of state: joint-constrains with GW170817, massive pulsars, and the PSR J0030+0451 mass-radius from $NICER$ data
• Maximum mass of compact stars from gravitational wave events with finite-temperature equations of state
• Unified equations of state for cold non-accreting neutron stars with Brussels-Montreal functionals. II. Pasta phases in semi-classical approximation
• Transient Radio Signatures from Neutron Star Encounters with QCD Axion Miniclusters
• Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action
• Scalarization of neutron stars with realistic equations of state
• Probing the nuclear equation of state from the existence of a $\sim 2.6M_{\odot }$ neutron star: the GW190814 puzzle
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Rotating Neutron Stars in F(R) Gravity with Axions
• Neutron Stars in Scalar-tensor Gravity with Quartic Order Scalar Potential
• Strong-field effects in massive scalar-tensor gravity for slowly spinning neutron stars and application to X-ray pulsar pulse profiles
• Radio signatures from encounters between Neutron Stars and QCD-Axion Minihalos around Primordial Black Holes
• Axial quasi-normal modes of scalarized neutron stars with massive self-interacting scalar field
• Neutron Star Structure in the Presence of Nonminimally Coupled Scalar Fields
• Particlelike solutions in modified gravity: the Higgs monopole

Cited by in corpus (5)

• Effect of massive graviton on dark energy star structure
• Maximum mass of an anisotropic compact object admitting the modified Chaplygin equation of state in Buchdahl-I metric
• Neutron Stars in Modified Teleparallel Gravity
• Solving Tolman-Oppenheimer-Volkoff equations in f(T) gravity: a novel approach applied to some realistic equations of state
• Mass-radius relation, moment of inertia, and tidal love numbers of anisotropic neutron stars in f (R,T) gravity