Wormhole modeling in $R^2$ gravity with linear trace term

Abstract

Morris and Thorne \cite{morris1} proposed traversable wormholes, hypothetical connecting tools, using the concept of Einstein's general theory of relativity. In this paper, the modification of general relativity (in particular $f(R,T)$ theory of gravity defined by Harko et al. \cite{harko}) is considered, to study the traversable wormhole solutions. The function $f(R,T)$ is considered as $f(R,T)=R+\alpha R^2+\beta T$, where $\alpha$ and $\beta$ are controlling parameters. The shape and red shift functions appearing in the metric of wormhole structure have significant contribution in the development of wormhole solutions. We have considered both variable and constant red shift functions with a logarithmic shape function. The energy conditions are examined, geometric configuration is analyzed and the radius of the throat is determined in order to have wormhole solutions in absence of exotic matter.

15 pages, 8 figures. arXiv admin note: text overlap with arXiv:2004.14209

References in corpus (70)

• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• f(R,T) gravity
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• Extra force in $f(R)$ modified theories of gravity
• Traversable wormholes with arbitrarily small energy condition violations
• Wormhole geometries in f(R) modified theories of gravity
• Traversable Wormholes via a Double Trace Deformation
• Null energy condition and superluminal propagation
• The Null Energy Condition and its violation
• On a class of stable, traversable Lorentzian wormholes in classical general relativity
• Instability of wormholes supported by a ghost scalar field. I. Linear stability analysis
• Inflating Lorentzian Wormholes
• Static wormhole solution for higher-dimensional gravity in vacuum
• Evolving Lorentzian Wormholes
• Traversable asymptotically flat wormholes in Rastall gravity
• Cosmological perfect-fluids in f(R) gravity
• Self-consistent Wormhole Solutions of Semiclassical Gravity
• Wormholes in viable $f(R)$ modified theories of gravity and Weak Energy Condition
• Accelerated expansion from a non-minimal gravitational coupling to matter
• Wormholes without exotic matter in Einstein-Cartan theory
• Traversable wormholes satisfying the weak energy condition in third-order Lovelock gravity
• Traversable Wormholes and Energy Conditions with Two Different Shape Functions in $f(R)$ Gravity
• Instability of wormholes supported by a ghost scalar field. II. Nonlinear evolution
• Brans wormholes
• No realistic wormholes from ghost-free scalar-tensor phantom dark energy
• Evolving wormhole geometries within nonlinear electrodynamics
• $f(R)$ Gravity Inflation with String-Corrected Axion Dark Matter
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• Einstein-Cartan wormhole solutions
• General class of vacuum Brans-Dicke wormholes
• Wormholes, the weak energy condition, and scalar-tensor gravity
• Wormholes and black universes without phantom fields in Einstein-Cartan theory
• Cosmological wormholes in $f(R)$ theories of gravity
• Wormholes and Flux Tubes in 5D Kaluza-Klein Theory
• Noncommutative Wormholes in $f(R)$ Gravity with Lorentzian Distribution
• Nonommutative wormholes in $f(R)$ gravity
• Thin-shell wormholes with charge in F(R) gravity
• Wormhole Modeling Supported by Non-Exotic Matter
• Thin-shell wormholes with a generalized Chaplygin gas in Einstein-Born-Infeld theory
• N-dimensional static and evolving Lorentzian wormholes with cosmological constant
• Scalar fields as sources for wormholes and regular black holes
• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Higher-dimensional thin-shell wormholes in third-order Lovelock gravity
• Non violation of energy conditions in wormholes modelling
• A perturbative perspective on self-supporting wormholes
• Global Monopole in Palatini f(R) gravity
• $f(R)$ gravity solutions for evolving wormholes
• Induced wormholes due to quantum effects of spherically reduced matter in large N approximation
• Can primordial wormholes be induced by GUTs at the early Universe?
• Stability analysis for cosmological models in $f(R)$ gravity using dynamical system analysis
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• Composite vacuum Brans-Dicke wormholes
• Time-Dependent Wormhole Solutions of $f(R)$ Theory of Gravity and Energy Conditions
• Big Bounce cosmology for Palatini $R^2$ gravity with a Nieh-Yan term
• $k$-essence $f(R)$ Gravity Inflation
• Wormholes in f(R) gravity with a noncommutative-geometry background
• Effects of Spatial Curvature on the $f(R)$ Gravity Phase Space: no Inflationary Attractor?
• Stress-energy of a quantized scalar field in static wormhole spacetimes
• Thin-shell wormholes with a double layer in quadratic F(R) gravity
• Gravitational Collapse in General Relativity and in $R^2$-gravity: A Comparative Study
• Static wormholes on the brane inspired by Kaluza-Klein gravity
• More about wormholes in generalized Galileon theories
• Rotating traversable wormholes in AdS
• Phantom Wormhole Solutions in a Generic Cosmological Constant Background
• No static sphericaly symmetric wormholes in Horndeski theory
• Spherical thin shells in F(R) gravity: construction and stability
• Pure double-layer bubbles in quadratic F(R) gravity
• Generic slow-roll and non-gaussianity parameters in $f(R)$ theories
• Pressure effects in the weak-field limit of f(R) = R + alpha R^2 gravity
• The effective dynamics of loop quantum $R^2$ cosmology

Cited by in corpus (5)

• Traversable wormholes with logarithmic shape function in f(R, T) gravity
• Non-commutative Wormholes in $f(R)$ Gravity satisfying the Energy Conditions
• Non-exotic wormholes in 4-D Einstein-Gauss-Bonnet gravity
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Thin-shell wormholes in N-dimensional F(R) gravity