Relativistic stars in vector-tensor theories

Abstract

We study relativistic star solutions in second-order generalized Proca theories characterized by a $U(1)$-breaking vector field with derivative couplings. In the models with cubic and quartic derivative coupling, the mass and radius of stars become larger than those in general relativity for negative derivative coupling constants. This phenomenon is mostly attributed to the increase of star radius induced by a slower decrease of the matter pressure compared to general relativity. There is a tendency that the relativistic star with a smaller mass is not gravitationally bound for a low central density and hence dynamically unstable, but that with a larger mass is gravitationally bound. On the other hand, we show that the intrinsic vector-mode couplings give rise to general relativistic solutions with a trivial field profile, so the mass and radius are not modified from those in general relativity.

20 pages, 7 figures, published version

References in corpus (19)

• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• Covariant Galileon
• Constraints on a phenomenologically parameterized neutron-star equation of state
• The relativistic pulsar-white dwarf binary PSR J1738+0333 II. The most stringent test of scalar-tensor gravity
• Black holes with non-minimal derivative coupling
• Slowly rotating neutron and strange stars in $R^2$ gravity
• Black Holes in Bi-scalar Extensions of Horndeski Theories
• Structure of neutron stars in R-squared gravity
• Black holes in vector-tensor theories
• A small cosmological constant from Abelian symmetry breaking
• Solutions in the generalized Proca theory with the nonminimal coupling to the Einstein tensor
• Static and rotating solutions for Vector-Galileon theories
• Anisotropic cosmological solutions in massive vector theories
• A no-hair theorem for stars in Horndeski theories
• Neutron stars in Scalar-Tensor-Vector Gravity
• An exact solution for a rotating black hole in modified gravity
• Black holes in vector-tensor theories and their thermodynamics
• Suppression of matter couplings with a vector field in generalized Proca theories

Cited by in corpus (22)

• Stellar structure models in modified theories of gravity: lessons and challenges
• Destabilization of black holes and stars by generalized Proca fields
• Neutron stars with a generalized Proca hair and spontaneous vectorization
• New class of Proca interactions
• Generalized SU(2) Proca theory reconstructed and beyond
• A systematic procedure to build the beyond generalized Proca field theory
• Spontaneous vectorization in the presence of vector field coupling to matter
• Cosmology of Extended Proca-Nuevo
• Coordinate singularities of self-interacting vector field theories
• Stability of relativistic stars with scalar hairs
• Axisymmetric equilibrium models for magnetised neutron stars in Scalar-Tensor Theories
• Pervasiveness of the breakdown of self-interacting vector field theories
• Positivity bounds in vector theories
• Treatments and placebos for the pathologies of effective field theories
• Detecting the massive vector field with extreme mass-ratio inspirals
• Spontaneous scalarization of charged stars
• Loss of hyperbolicity and tachyons in generalized Proca theories
• Disformal transformation of physical quantities associated with relativistic stars
• Ultracompact vector stars
• Even-parity stability of hairy black holes in $U(1)$ gauge-invariant scalar-vector-tensor theories
• Cosmic evolution in DHOST theories with scaling solutions
• The intrinsic pathology of self-interacting vector fields