Traversable wormholes in $$R+\alpha R^n$$ gravity

Godani, Nisha; Samanta, Gauranga C.

doi:10.1140/epjc/s10052-019-7587-5

Cited by 74 publications

(28 citation statements)

References 115 publications

(92 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The study of wormholes not only is carried out within the framework of GR. Recently there has been a growing interest in studying such solutions in the arena of Brans-Dicke theory [44,45], f (R)-gravity [46][47][48][49][50][51][52][53], f (R, T )-gravity [54][55][56][57][58], Einstein-Cartan theory [59] and extra dimensions [60,61]. The advantage of these modified or extended gravity theories is that the energy conditions can be satisfied for the usual matter sector due to the corrections introduced by the additional fields into the theory.…”

Section: Introductionmentioning

confidence: 99%

Minimally deformed wormholes

2021

View full text Add to dashboard Cite

This work is devoted to the study of wormhole solutions in the framework of gravitational decoupling by means of the minimal geometric deformation scheme. As an example, to analyze how this methodology works in this scenario, we have minimally deformed the well-known Morris–Thorne model. The decoupler function f(r) and the $$\theta $$ θ -sector are determined considering the following approaches: (i) the most general linear equation of state relating the $$\theta _{\mu \nu }$$ θ μ ν components is imposed and (ii) the generalized pseudo-isothermal dark matter density profile is mimicked by the temporal component of the $$\theta $$ θ -sector. It is found that the first approach leads to a non-asymptotically flat space-time with an unbounded mass function. To address this issue we have matched both the wormhole and the Schwarzschild vacuum solutions, via a thin-shell at the junction surface. Using the second approach, it can be seen that, on one hand, the solution for $$\gamma =1$$ γ = 1 does not give place to a bounded mass and it presents a topological defect at large distances; on the other hand, the wormhole manifold is asymptotically flat in the $$\gamma =2$$ γ = 2 case. In order to satisfy the flare-out condition, we have found restrictions on the value of the $$\alpha $$ α parameter, which is related with the amount of exotic matter distribution. Finally, the averaged weak energy condition has been analyzed by using the volume integral quantifier.

show abstract

Section: Introductionmentioning

confidence: 99%

Minimally deformed wormholes

2021

View full text Add to dashboard Cite

show abstract

“…Second Model. Now, we take another specific model of shape function, i.e., b s (r) � (r/e r− r 0 ) [57]. By using b s (r) � (r/e r− r 0 ) in equations ( 16)- (18), the expressions for energy density and pressure components are calculated as follows:…”

Section: First Modelmentioning

confidence: 99%

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Ikram

Mustafa

2020

Advances in Astronomy

View full text Add to dashboard Cite

In this recent study, we shall investigate the wormhole models with a Hu–Sawicki model in the framework of f ℛ gravity. Spherically static symmetric space-time is considered to construct wormhole models with the anisotropic fluid distribution. The traceless matter is discussed by imposing a particular equation of state. To address the important conditions of the shape function of the wormhole geometry, we have used the particular values of the involved parameters. Furthermore, different energy conditions are discussed to check the nature of matter against two specific models. The null energy condition is observed to be violated for both of the models. It is mentioned that our inquired results are acceptable.

show abstract

“…The new center of attraction in this era seems to direct toward wormholes. Many solutions of traversable wormholes are investigated in f (R) and f (R, T ) gravity by considering different forms of energy density [18][19][20][21][22][23][24][25][26][27][28][29][30][31]. Studying wormhole solutions in various modified theories is a noteworthy and important point in theoretical physics.…”

Section: Introductionmentioning

confidence: 99%

Wormhole in f(R) gravity revisited

Parsaei,

Rastgoo

2021

Preprint

View full text Add to dashboard Cite

In this paper, exact wormhole solutions in the context of f (R) theory of gravity are investigated. Since the Einstein field equations are modified in 3+1 dimensions in the f (R) theory of gravity, we have studied some possible solutions with different forms of shape function and f (R) function. We show that choosing f (R) or metric functions arbitrarily may lead to a conflict for wormhole solutions. Some previous solutions are discussed which verify the contradiction throughout the equations. We conclude that wormhole solutions in the context of f (R) gravity should be revisited.

show abstract

Traversable wormholes in $$R+\alpha R^n$$ gravity

Cited by 74 publications

References 115 publications

Minimally deformed wormholes

Minimally deformed wormholes

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model

Wormhole in f(R) gravity revisited

Contact Info

Product

Resources

About

Traversable wormholes in $$R+\alpha R^n$$ gravity

Cited by 74 publications

References 115 publications

Minimally deformed wormholes

Minimally deformed wormholes

Wormhole Models and Energy Conditions in f ℛ Gravity with the Hu–Sawicki Model

Wormhole in f(R) gravity revisited

Contact Info

Product

Resources

About

Wormhole Models and Energy Conditions in $f (ℛ)$ Gravity with the Hu–Sawicki Model