Traversable wormhole solutions in f(R) gravity via Karmarkar condition

We study Morris–Thorne static traversable wormhole solutions in different modified theories of gravity. We focus our study on the quadratic gravity $$f({\mathscr {R}}) = {\mathscr {R}}+a{\mathscr {R}}^2$$ f ( R ) = R + a R 2 , power-law $$f({\mathscr {R}}) = f_0{\mathscr {R}}^n$$ f ( R ) = f 0 R n , log-corrected $$f({\mathscr {R}})={\mathscr {R}}+\alpha {\mathscr {R}}^2+\beta {\mathscr {R}}^2\ln \beta {\mathscr {R}}$$ f ( R ) = R + α R 2 + β R 2 ln β R theories, and finally on the exponential hybrid metric-Palatini gravity $$f(\mathscr {\hat{R}})=\zeta \bigg (1+e^{-\frac{\hat{{\mathscr {R}}}}{\varPhi }}\bigg )$$ f ( R ^ ) = ζ ( 1 + e - R ^ Φ ) . Wormhole fluid near the throat is adopted to be anisotropic, and redshift factor to have a constant value. We solve numerically the Einstein field equations and we derive the suitable shape function for each MOG of our consideration by applying the equation of state $$p_t=\omega \rho $$ p t = ω ρ . Furthermore, we investigate the null energy condition, the weak energy condition, and the strong energy condition with the suitable shape function b(r). The stability of Morris–Thorne traversable wormholes in different modified gravity theories is also analyzed in our paper with a modified Tolman–Oppenheimer–Voklov equation. Besides, we have derived general formulas for the extra force that is present in MTOV due to the non-conserved stress-energy tensor.

show abstract

“…Clearly f (R) is the derivative with respect to the Ricci scalar. Furthermore, the stress-energy tensor for the anisotropic fluid is [45]:…”

Section: F (R) Modified Gravity Casementioning

confidence: 99%

“…Routinely, on the Fig. 11 we have located the example of forces, that present in MTOV (45) for quadratic gravity case with α = ω = 1.…”

Section: Wormhole Stability In Modified Theories Of Gravitymentioning

confidence: 99%

On the existence and stability of traversable wormhole solutions in modified theories of gravity

Sokoliuk

Baransky

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…where Q α = Q α µ µ and Qα = Q µ αµ are traces of non-metricity tensor. Furthermore, we assume fluid to be anisotropic with following stress-energy tensor [65]:…”

Section: Formalism Of the F (Q) Gravitymentioning

confidence: 99%

Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Sokoliuk,

Hassan,

Sahoo

et al. 2022

Preprint

View full text Add to dashboard Cite

We consider symmetric teleparallel gravity (STEGR), in which gravitational Lagrangian is given by the arbitrary function of non-metricity scalar Q to study static and spherically symmetric charged traversable wormhole solutions with non-commutative background geometry. The matter source at the wormhole throat is acknowledged to be anisotropic, and the redshift function has a constant value (thus, our wormhole solution is non-tidal). We derived numerically suitable forms of wormhole shape functions in the linear f (Q) = αQ + β and non-linear f (Q) = Q + mQ n STEGR models directly from the modified Einstein Field Equations (EFE's). Besides, we probed these models via Null, Dominant, and Strong energy conditions w.r.t. free MOG parameters α, β, m, and n. We also used Tolman-Oppenheimer-Vokloff (TOV) equation to investigate the stability of WH anisotropic matter in considered MOG. Finally, we plot the effective equation of state.

show abstract

“…Over the past decade, interest in gravastars has increased greatly. There was written a large number of papers, that investigate the research of charged and noncharged gravastars (for example, see [1][2][3][4][5][6][7][8]). Gravastars (gravitational condensate stars) was first ever proposed in works of Mazur and Mottola [9,10].…”

Section: Introductionmentioning

confidence: 99%

Kuchowicz gravastars in the braneworld formalism

Sokoliuk,

Baransky,

Sahoo

2022

Preprint

View full text Add to dashboard Cite

In the current article, we study isotropic static spherically symmetric gravastars without charge under the framework of braneworld gravity (dimensionally reduced RS-II braneworld with positive brane tension) using the metric potential of Kuchowicz type (which is physically acceptable, nonsingular and stable) in the Mazur-Motolla conjucture. We derived the Kuchowicz free parameters from the junction conditions assuming Schwarzschild vacuum without cosmological constant. As well, we assume that the interior is filled with Dark Energy (DE-like) fluid, shell with ultrarelativistic stiff fluid. Adopting this conditions, we probed several physical aspects of the gravastars, such as proper length, shell energy and entropy, surface redshift and adiabatic index, interior region mass.

show abstract

Traversable wormhole solutions in f(R) gravity via Karmarkar condition

Cited by 49 publications

References 52 publications

On the existence and stability of traversable wormhole solutions in modified theories of gravity

On the existence and stability of traversable wormhole solutions in modified theories of gravity

Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity

Kuchowicz gravastars in the braneworld formalism

Contact Info

Product

Resources

About