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Article

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

1
Department of Physics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
2
Laboratory of Theoretical Cosmology, Tomsk State University of Control Systems and Radioelectronics (TUSUR), 634050 Tomsk, Russia
3
Department of Physics, Tomsk State Pedagogical University, 634061 Tomsk, Russia
Academic Editor: Kazuharu Bamba
Symmetry 2022, 14(1), 32; https://doi.org/10.3390/sym14010032
Received: 21 November 2021 / Revised: 11 December 2021 / Accepted: 17 December 2021 / Published: 28 December 2021
(This article belongs to the Special Issue The Nuclear Physics of Neutron Stars)
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. View Full-Text
Keywords: neutron stars; scalar-tensor gravity; Higgs inflationary model neutron stars; scalar-tensor gravity; Higgs inflationary model
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MDPI and ACS Style

Oikonomou, V.K. Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of Non-Inflationary Approximations. Symmetry 2022, 14, 32. https://doi.org/10.3390/sym14010032

AMA Style

Oikonomou VK. Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of Non-Inflationary Approximations. Symmetry. 2022; 14(1):32. https://doi.org/10.3390/sym14010032

Chicago/Turabian Style

Oikonomou, Vasilis K. 2022. "Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of Non-Inflationary Approximations" Symmetry 14, no. 1: 32. https://doi.org/10.3390/sym14010032

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