Traversable wormhole models in f(R) gravity
نویسندگان
چکیده
In this work, we analyze the wormhole solutions in $f(R)$ gravity. Specifically sought for geometry following three shape functions: (i) $b(r)=r_{0}+\rho_{0}r_{0}^{3}\ln\left(\frac{r_{0}}{r}\right)$, (ii) $b(r)=r_{0}+\gamma r_{0}\left(1-\dfrac{r_{0}}{r}\right)$, and (iii) $b(r)=\alpha +\beta r$, under some legitimate physical conditions on parameters as well constants involved here with functions. It is observed from graphical plots that behaviour of are interesting viable.
منابع مشابه
Stable phantom energy traversable wormhole models
A possible candidate for the present accelerated expansion of the Universe is “phantom energy”, which possesses an equation of state of the form ω ≡ p/ρ < −1, consequently violating the null energy condition. As this is the fundamental ingredient to sustain traversable wormholes, this cosmic fluid presents us with a natural scenario for the existence of these exotic geometries. In this context,...
متن کاملQuantum field theory constrains traversable wormhole geometries.
Recently a bound on negative energy densities in four-dimensional Minkowski spacetime was derived for a minimally coupled, quantized, massless, scalar field in an arbitrary quantum state. The bound has the form of an uncertainty principle-type constraint on the magnitude and duration of the negative energy density seen by a timelike geodesic observer. When spacetime is curved and/or has boundar...
متن کاملThe traversable wormhole with classical scalar fields
We study the Lorentzian static traversable wormholes coupled to quadratic scalar fields. We also obtain the solutions of the scalar fields and matters in the wormhole background and find that the minimal size of the wormhole should be quantized under the appropriate boundary conditions for the positive nonminimal massive scalar field.
متن کاملSurface stresses on a thin shell surrounding a traversable wormhole
We match an interior solution of a spherically symmetric traversable wormhole to a unique exterior vacuum solution, with a generic cosmological constant, at a junction interface, and the surface stresses on the thin shell are deduced. In the spirit of minimizing the usage of exotic matter we determine regions in which the weak and null energy conditions are satisfied on the junction surface. Th...
متن کاملGeometric structure of the generic static traversable wormhole throat
Traversable wormholes have traditionally been viewed as intrinsically topological entities in some multiply connected spacetime. Here, we show that topology is too limited a tool to accurately characterize a generic traversable wormhole: in general one needs geometric information to detect the presence of a wormhole, or more precisely to locate the wormhole throat. For an arbitrary static space...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Modern Physics A
سال: 2022
ISSN: ['0217-751X', '1793-656X']
DOI: https://doi.org/10.1142/s0217751x22500105