Cosmic stringlike objects in hybrid metric-Palatini gravity

Abstract

We consider static and cylindrically symmetric interior string type solutions in the scalar-tensor representation of the hybrid metric-Palatini modified theory of gravity. As a first step in our study, we obtain the gravitational field equations and further simplify the analysis by imposing Lorentz invariance along the $t$ and $z$ axes, which reduces the number of unknown metric tensor components to a single function $W^2(r)$. In this case, the general solution of the field equations can be obtained, for an arbitrary form of the scalar field potential, in an exact closed parametric form, with the scalar field $\varphi$ taken as a parameter. We consider in detail several exact solutions of the field equations, corresponding to a null and constant potential, and to a power-law potential of the form $V(\varphi )=V_0{\varphi }^{3/4}$, in which the behaviors of the scalar field, of the metric tensor components and of the string tension can be described in a simple mathematical form. We also investigate the string models with exponential and Higgs type scalar field potentials by using numerical methods. In this way we obtain a large class of novel stable string-like solutions in the context of hybrid metric-Palatini gravity, in which the basic parameters, such as the scalar field, metric tensor components, and string tension, depend essentially on the initial values of the scalar field, and of its derivative, on the $r=0$ circular axis.

arXiv comment15 pages, 9 figures: V2: slight change in title and abstract; significant discussion and references added; conceptual changes; now 19 pages. Matches published version

References in corpus (68)

• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• f(R,T) gravity
• Curvature Quintessence
• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Extra force in $f(R)$ modified theories of gravity
• Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions
• f(R,L_m) gravity
• How generic is cosmic string formation in SUSY GUTs
• Tachyons, Scalar Fields and Cosmology
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Dark matter as a geometric effect in f(R) gravity
• Supersymmetry Breaking and Determination of the Unification Gauge Coupling Constant in String Theories
• Metric-Palatini gravity unifying local constraints and late-time cosmic acceleration
• Geometry of General Hypersurfaces in Spacetime: Junction Conditions
• Cosmic Strings and Superstrings
• Hybrid metric-Palatini gravity
• Constraints on cosmic strings using data from the first Advanced LIGO observing run
• Cylindrical solutions in metric f(R) gravity
• Cosmology of hybrid metric-Palatini f(X)-gravity
• The virial theorem and the dark matter problem in hybrid metric-Palatini gravity
• Generalized virial theorem in f(R) gravity
• Updated constraints on the cosmic string tension
• Hybrid modified gravity unifying local tests, galactic dynamics and late-time cosmic acceleration
• The dark side of gravity: Modified theories of gravity
• Wormholes in generalized hybrid metric-Palatini gravity obeying the matter null energy condition everywhere
• Arbitrary scalar field and quintessence cosmological models
• Galactic rotation curves in hybrid metric-Palatini gravity
• A note on constant curvature solutions in cylindrically symmetric metric $f(R)$ Gravity
• Cosmological solutions in generalized hybrid metric-Palatini gravity
• Exponential Potentials for Tracker Fields
• Invariant solutions and Noether symmetries in Hybrid Gravity
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Cylindrical Systems in General Relativity
• On the definition of cylindrical symmetry
• Cosmic strings in dilaton gravity
• Complete Classification of the String-like Solutions of the Gravitating Abelian Higgs Model
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Unveiling the Dynamics of the Universe
• Bianchi Type I Cosmologies in Arbitrary Dimensional Dilaton Gravities
• Cosmic strings in $f\left(R,L_m\right)$ gravity
• Dark matter density profile and galactic metric in Eddington-inspired Born-Infeld gravity
• Dynamics of superconducting strings with chiral currents
• High Redshift Gamma-Ray Bursts: Observational Signatures of Superconducting Cosmic Strings?
• Observing cosmic string loops with gravitational lensing surveys
• Spherically symmetric static vacuum solutions in hybrid metric-Palatini gravity
• Cosmic String in Scalar-Tensor Gravities
• Reionization from cosmic string loops
• Cosmic (super)string constraints from 21 cm radiation
• Spherically symmetric black holes and wormholes in hybrid metric-Palatini gravity
• Bose-Einstein condensate strings
• Dynamical behavior and Jacobi stability analysis of wound strings
• Static Cylindrically Symmetric Interior Solutions in f(R) Gravity
• Cosmic strings, loops, and linear growth of matter perturbations
• Non static local string in Brans-Dicke theory
• Rotation of galaxies as a signature of cosmic strings in weak lensing surveys
• Remarks on the general solution for the flat Friedman universe with exponential scalar-field potential and dust
• The Geometry of Massless Cosmic Strings
• Cylindrical sources in full Einstein and Brans-Dicke gravity
• Line Sources in Brans-Dicke Theory of Gravity
• Cosmic Strings in the Abelian Higgs Model with Conformal Coupling to Gravity
• Local cosmic strings in Brans-Dicke theory with a cosmological constant
• Local cosmic string in generalised scalar tensor theory
• Reply to [arXiv:1105.5147] "Are GRB 090423 and Similar Bursts due to Superconducting Cosmic Strings?"
• Dynamics of a self-gravitating thin string in scalar-tensor theories of gravitation
• Microlensing by gas filaments
• Can Superconducting Cosmic Strings Piercing Seed Black Holes Generate Supermassive Black Holes in the Early Universe?

Cited by in corpus (11)

• Beyond Einstein's General Relativity: Hybrid metric-Palatini gravity and curvature-matter couplings
• Dynamic wormhole geometries in hybrid metric-Palatini gravity
• Thick brane structures in generalized hybrid metric-Palatini gravity
• Sudden singularities in generalized hybrid metric-Palatini cosmologies
• Weak-field regime of the generalized hybrid metric-Palatini gravity
• Black Hole Perturbations and Quasinormal Modes in Hybrid Metric-Palatini Gravity
• Cosmic strings in generalized hybrid metric-Palatini gravity
• Spherically symmetric space-times in generalized hybrid metric-Palatini gravity
• Novel electrically charged wormhole, black hole and black bounce exact solutions in hybrid metric-Palatini gravity
• Hybrid metric-Palatini gravity: Regular stringlike configurations
• Straight and Wiggly Cosmic Strings in Horndeski Theory