Tideless Traversable Wormholes surrounded by cloud of strings in $f(R)$ gravity

Abstract

We study the tideless traversable wormholes in the $f(R)$ gravity metric formalism. First we consider three shape functions of wormholes and study their viabilities and structures. The connection between the $f(R)$ gravity model and wormhole shape function has been studied and the dependency of the $f(R)$ gravity model with the shape function is shown. We also obtain a wormhole solution in the $f(R)$ gravity Starobinsky model surrounded by a cloud of strings. In this case, the wormhole shape function depends on both the Starobinsky model parameter and the cloud of strings parameter. The structure and height of the wormhole is highly affected by the cloud of strings parameter, while it is less sensitive to the Starobinsky model parameter. The energy conditions have been studied and we found the ranges of the null energy condition violation for all wormhole structures. The quasinormal modes from these wormhole structures for the scalar and Dirac perturbations are studied using higher order WKB approximation methods. The quasinormal modes for the toy shape functions depend highly on the model parameters. In case of the Starobinsky model's wormhole the quasinormal frequencies and the damping rate increase with an increase in the Starobinsky model parameter in scalar perturbation. Whereas in Dirac perturbation, with an increase in the Starobinsky model parameter the quasinormal frequencies decrease and the damping rate increases. The cloud of strings parameter also impacts prominently and differently the quasinormal modes from the wormhole in the Starobinsky model.

29 pages, 26 figures; Published Version

References in corpus (48)

• Dynamics of dark energy
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Wormhole geometries in f(R) modified theories of gravity
• Echoes of ECOs: gravitational-wave signatures of exotic compact objects and of quantum corrections at the horizon scale
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Metric-affine f(R) theories of gravity
• Gravitational Lensing by Rotating Wormholes
• Shadow, lensing, quasinormal modes, greybody bounds and neutrino propagation by dyonic ModMax black holes
• The effect of the Brane-Dicke coupling parameter on weak gravitational lensing by wormholes and naked singularities
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Quasinormal modes of gravitational perturbation around a Schwarzschild black hole surrounded by quintessence
• Cosmological evolution in exponential gravity
• Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr. A* from EHT
• Wormholes without exotic matter: quasinormal modes, echoes and shadows
• Light deflection by charged wormholes in Einstein-Maxwell-dilaton theory
• Arbitrarily long-lived quasinormal modes in a wormhole background
• Quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence: Electromagnetic perturbations
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• Traversable Wormhole Solutions in $f(R)$ Gravity Via Karmarkar Condition
• Weak deflection angle of Kazakov-Solodukhin black hole in plasma medium using Gauss-Bonnet theorem and its greybody bonding
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Accretion onto a black hole in a string cloud background
• Cloud of strings for radiating black holes in Lovelock gravity
• Probing hairy black holes caused by gravitational decoupling using quasinormal modes and greybody bounds
• Traversable wormholes in a string cloud
• Effect of the magnetic charge on weak deflection angle and greybody bound of the black hole in Einstein-Gauss-Bonnet gravity
• Quasinormal modes of massive scalar fields in four-dimensional wormholes: anomalous decay rate
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Dirac quasinormal modes of a Schwarzschild black hole surrounded by free static spherically symmetric quintessence
• Scalar absorption: Black holes versus wormholes
• Quasinormal modes and thermodynamic properties of GUP-corrected Schwarzschild black hole surrounded by quintessence
• Thermodynamic stability and P-V criticality of nonsingular-AdS black holes endowed with clouds of strings
• New inhomogeneous universes in scalar-tensor and f(R) gravity
• Higher Dimensional Inhomogeneous Perfect Fluid Collapse in \emph{f(R)} Gravity
• Strange stars in $f(\mathcal{R})$ gravity Palatini formalism and gravitational wave echoes from them
• Lemaitre-Tolman-Bondi dust solutions in f(R) gravity
• New integrable models and analytical solutions in $f(R)$~cosmology with an ideal gas
• An exponential shape function for wormholes in modified gravity
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Weak Deflection Angle and Greybody Bound of Magnetized Regular Black Hole
• Weak-field limit of $f(R)$ gravity to unify peculiar white dwarfs
• Deriving Weak Deflection Angle by Black Holes or Wormholes using Gauss-Bonnet Theorem
• Characteristic Formulation for Metric $f(R)$ Gravity
• Can the abyss swallow gravitational waves or why we do not observe echoes?
• Greybody factor and perturbation of a Schwarzschild black hole with string clouds and quintessence
• New Wormhole Solutions in a Viable $f(R)$ Gravity Model
• Method of distinguishing between black holes and wormholes

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