Stability of neutron stars in Horndeski theories with Gauss-Bonnet couplings

Abstract

In Horndeski theories containing a scalar coupling with the Gauss-Bonnet (GB) curvature invariant $R_{\mathrm{GB}}^2$, we study the existence and linear stability of neutron star (NS) solutions on a static and spherically symmetric background. For a scalar-GB coupling of the form $\alpha \xi (\varphi )R_{\mathrm{GB}}^2$, where $\xi$ is a function of the scalar field $\varphi$, the existence of linearly stable stars with a nontrivial scalar profile without instabilities puts an upper bound on the strength of the dimensionless coupling constant $|\alpha |$. To realize maximum masses of NSs for a linear (or dilatonic) GB coupling ${\alpha }_{\mathrm{GB}}\varphi R_{\mathrm{GB}}^2$ with typical nuclear equations of state, we obtain the theoretical upper limit $\sqrt{|{\alpha }_{\mathrm{GB}}|}<0.7\mathrm{km}$. This is tighter than those obtained by the observations of gravitational waves emitted from binaries containing NSs. We also incorporate cubic-order scalar derivative interactions, quartic derivative couplings with nonminimal couplings to a Ricci scalar besides the scalar-GB coupling and show that NS solutions with a nontrivial scalar profile satisfying all the linear stability conditions are present for certain ranges of the coupling constants. In regularized 4-dimensional Einstein-GB gravity obtained from a Kaluza-Klein reduction with an appropriate rescaling of the GB coupling constant, we find that NSs in this theory suffer from a strong coupling problem as well as Laplacian instability of even-parity perturbations. We also study NS solutions with a nontrivial scalar profile in power-law $F(R_{\mathrm{GB}}^2)$ models, and show that they are pathological in the interior of stars and plagued by ghost instability together with the asymptotic strong coupling problem in the exterior of stars.

arXiv comment27 pages, 5 figures

References in corpus (97)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Observation of Gravitational Waves from a Binary Black Hole Merger
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Planck 2013 results. XVI. Cosmological parameters
• Dynamics of dark energy
• Modified Gravity and Cosmology
• Cosmological parameters from SDSS and WMAP
• f(R) theories
• GW170817: Measurements of Neutron Star Radii and Equation of State
• Quasi-Normal Modes of Stars and Black Holes
• Modified Gauss-Bonnet theory as gravitational alternative for dark energy
• Beyond the Cosmological Standard Model
• Generalized G-inflation: Inflation with the most general second-order field equations
• From k-essence to generalised Galileons
• Cosmological Tests of Modified Gravity
• Dilatonic Black Holes in Higher Curvature String Gravity
• 1/R gravity and Scalar-Tensor Gravity
• Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
• Spontaneous scalarization of black holes and compact stars from a Gauss-Bonnet coupling
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black hole hair in generalized scalar-tensor gravity
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Action functionals for relativistic perfect fluids
• General second order scalar-tensor theory, self tuning, and the Fab Four
• Black holes in scalar-tensor gravity
• Dressing a black hole with a time-dependent Galileon
• Black hole hair in generalized scalar-tensor gravity: An explicit example
• Approaches to Understanding Cosmic Acceleration
• A systematic approach to generalisations of General Relativity and their cosmological implications
• Construction of cosmologically viable f(G) gravity models
• A no-hair theorem for the galileon
• The Cosmology of Modified Gauss-Bonnet Gravity
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Are black holes in alternative theories serious astrophysical candidates? The case for Einstein-Dilaton-Gauss-Bonnet black holes
• Dilatonic Black Holes with Gauss-Bonnet Term
• Horndeski Gravity as $D\to 4$ Limit of Gauss-Bonnet
• Stellar structure models in modified theories of gravity: lessons and challenges
• Constraints on Perturbative f(R) Gravity via Neutron Stars
• On Taking the $D\to 4$ limit of Gauss-Bonnet Gravity: Theory and Solutions
• Asymptotically flat black holes in Horndeski theory and beyond
• Dark energy in Horndeski theories after GW170817: A review
• Derivation of Regularized Field Equations for the Einstein-Gauss-Bonnet Theory in Four Dimensions
• Slowly-Rotating Black Holes in Einstein-Dilaton-Gauss-Bonnet Gravity: Quadratic Order in Spin Solutions
• Neutron Stars in f(R) Gravity with Perturbative Constraints
• Analytical representations of unified equations of state of neutron-star matter
• On the stability of scalarized black hole solutions in scalar-Gauss-Bonnet gravity
• Compact stars in alternative theories of gravity. Einstein-Dilaton-Gauss-Bonnet gravity
• Rotating black holes in Einstein-Dilaton-Gauss-Bonnet gravity with finite coupling
• Radial perturbations of the scalarized EGB black holes
• Dilatonic Black Holes in Higher-Curvature String Gravity II: Linear Stability
• Constraints on scalar-tensor models of dark energy from observational and local gravity tests
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations I: The odd-parity sector
• Black hole perturbation in the most general scalar-tensor theory with second-order field equations II: the even-parity sector
• Solar system constraints on f(G) gravity models
• Spinning black holes in Einstein--Gauss-Bonnet--dilaton theory: non-perturbative solutions
• Neutron stars in general second order scalar-tensor theory: the case of non-minimal derivative coupling
• Self-interactions and Spontaneous Black Hole Scalarization
• Neutron stars in scalar-tensor theories of gravity and catastrophe theory
• Scalarized black holes in the presence of the coupling to Gauss-Bonnet gravity
• Relativistic Stars in Beyond Horndeski Theories
• Effective scalar-tensor description of regularized Lovelock gravity in four dimensions
• On neutron stars in f(R) theories: small radii, large masses and large energy emitted in a merger
• Probing Strong-Field Scalar-Tensor Gravity with Gravitational Wave Asteroseismology
• Structure of neutron stars in R-squared gravity
• Stability of Schwarzschild-like solutions in f(R,G) gravity models
• Neutron star transition to strong-scalar-field state in tensor scalar gravity
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions I -- Asymptotically Flat Black Holes --
• Quadrupole Moments of Rapidly Rotating Compact Objects in Dilatonic Einstein-Gauss-Bonnet Theory
• Constraints on Einstein-dilaton-Gauss-Bonnet gravity from Black Hole-Neutron Star Gravitational Wave Events
• Neutron stars in Horndeski gravity
• Neutron star solutions with curvature induced scalarization in the extended Gauss-Bonnet scalar-tensor theories
• Towards Strong Field Tests of Beyond Horndeski Gravity Theories
• Gravitational-wave emission in shift-symmetric Horndeski theories
• Cosmological perturbations of a perfect fluid and noncommutative variables
• Non-Existence of Black Holes with Non-Canonical Scalar Fields
• Relativistic stars in 4D Einstein-Gauss-Bonnet gravity
• Extremal black holes in D=4 Gauss-Bonnet gravity
• Tidal Deformabilities of Neutron Stars in scalar-Gauss-Bonnet Gravity and Their Applications to Multimessenger Tests of Gravity
• Relativistic stars in degenerate higher-order scalar-tensor theories after GW170817
• Neutron stars in $f(R)$ gravity and scalar-tensor theories
• Black Holes in the Scalar-Tensor Formulation of 4D Einstein-Gauss-Bonnet Gravity: Uniqueness of Solutions, and a New Candidate for Dark Matter
• Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions II -- Asymptotically AdS Topological Black Holes --
• Black hole perturbation in parity violating gravitational theories
• A no-hair theorem for stars in Horndeski theories
• Jordan frame no-hair for spherical scalar-tensor black holes
• Axial quasi-normal modes of Einstein-Gauss-Bonnet-dilaton neutron stars
• Relativistic star perturbations in Horndeski theories with a gauge-ready formulation
• Hairy Black-holes in Shift-symmetric Theories
• Unsuccessful cosmology with Modified Gravity Models
• Linear stability of black holes in shift-symmetric Horndeski theories with a time-independent scalar field
• Linear stability of black holes with static scalar hair in full Horndeski theories: generic instabilities and surviving models
• Stability of relativistic stars with scalar hairs
• Relativistic stars in a cubic Galileon Universe
• Instability of compact stars with a nonminimal scalar-derivative coupling
• Instability of hairy black holes in regularized 4-dimensional Einstein-Gauss-Bonnet gravity

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• Tidal Love Numbers of Neutron Stars in Horndeski Theories
• Gravitational-wave constraints on noncommutative spacetime from GW190814