Smeared Mass Source Wormholes in Modified $f(R)$ Gravity with the Lorentzian Density Distribution Function

Abstract

Wormholes are speculative structures linking disparate space-time points. Their geometry can be obtained by solving Einstein equations with tolerating the violation of null energy conditions. Recently, many researchers have studied different wormholes according to different criteria, and they achieved remarkable results. In this paper, we investigate a series of exact solutions of the static wormhole with smeared mass source geometry in modified $f(R)$ gravity theories. In fact, we consider the Lorentzian density distribution which is coming from a particle-like source. To be more specific, the modified gravity models we consider here are some power laws. We compute resulting solutions according to the wormhole field equations. We also specify parameters such as the radial pressure and transverse pressure as well as various energy conditions such as null energy conditions, weak energy conditions and strong energy conditions. Finally, by plotting some figures, in addition to identifying the wormhole throat, we describe the results of either the violation or the satisfaction of the energy conditions completely.

arXiv comment27 pages, published in Mod. Phys. Lett. A

References in corpus (36)

• Extra force in $f(R)$ modified theories of gravity
• Wormhole geometries in f(R) modified theories of gravity
• Morris-Thorne wormholes with a cosmological constant
• Rotating traversable wormholes
• Inflating Lorentzian Wormholes
• Nearly Starobinsky inflation from modified gravity
• Plane symmetric thin-shell wormholes: solutions and stability
• Exact solutions of charged wormhole
• Thin shell wormholes in higher dimensiaonal Einstein-Maxwell theory
• Wormholes supported by polytropic phantom energy
• Validation of Energy Conditions in Wormhole Geometry within Viable $f(R)$ Gravity
• A comparison of Hořava-Lifshitz gravity and Einstein gravity through thin-shell wormhole construction
• Traversable Wormholes in $R+\alpha R^n$ Gravity
• Inflationary universe from higher-derivative quantum gravity
• Trace-anomaly driven inflation in modified gravity and the BICEP2 result
• Traversable wormholes in $f(R)$ gravity with constant and variable redshift functions
• Evolving Lorentzian wormholes supported by phantom matter and cosmological constant
• Wormhole with varying cosmological constant
• Non violation of energy conditions in wormholes modelling
• Axially symmetric rotating traversable wormholes
• Clustering of Galaxies with f(R) gravity
• A new class of stable $(2+1)$ dimensional thin shell wormhole
• Wormhole cosmic strings
• Higher derivative corrections of $f(R)$ gravity with varying equation of state in the case of variable $G$ and $\Lambda$
• Generating functions of wormholes
• Logarithmic corrected Polynomial $f(R)$ inflation mimicking a cosmological constant
• Marginally Deformed Starobinsky Gravity
• Traversable wormholes in four dimensions
• Thermodynamics in $f(R,\mathcal{L})$ theories: Apparent horizon in the FLRW spacetime
• Wormhole Structures in Logarithmic-Corrected $R^2$ Gravity
• Thin shell wormhole due to dyadosphere of a charged black hole
• Can electro-magnetic field, anisotropic source and varying $\Lambda$ be sufficient to produce wormhole spacetime ?
• Thin-shell wormholes in AdS${}_5$ and string dioptrics
• Traversable wormhole without interaction
• Euclidean wormholes in Gauss-Bonnet-dilaton gravity
• Traversable wormholes and the Brouwer fixed-point theorem

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• Evolving wormhole formation in dRGT massive gravity
• Exact analytical vacuum solutions of $R^n$-gravity model depending on two variables