Wormhole solutions in f(R) gravity

Mishra, B.; Agrawal, Aniket; Tripathy, S. K.; Ray, Saibal

doi:10.1142/s0218271821500619

Cited by 38 publications

(17 citation statements)

References 88 publications

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“…[99][100][101][102] However, this may differ in the case of modified theories of gravity. [40][41][42] Our presented wormhole models also correspond to this situation.…”

Section: Discussionsupporting

confidence: 63%

“…In literature, other than the above mentioned studies, lots of notable works are available on wormhole solutions with varied mathematical expositions and theoretical interpretations in the platform of GR as well as in alternative gravity theories. [ 16–42 ] Among these investigations, in the latest cited article, the possibility of construction of a traversable wormhole on the Randall‐Sundrum braneworld, with non‐exotic matter employing the Kuchowicz potential has been studied. The analysis, besides giving an estimate for the bulk equation of state parameter, imposes restrictions on the brane tension.…”

Section: Introductionmentioning

confidence: 99%

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Relativistic wormhole surrounded by dark matter halos in symmetric teleparallel gravity

Mustafa

Maurya

Ray

2023

Fortschritte der Physik

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In this article we study the wormhole geometry in the galactic halo region under modified f () gravity, especially symmetric teleparallel gravity, where the nonmetricity scalar  drives the gravitational interaction. The wormhole solutions for the assumed form f () = 𝜶 + 𝜷 have been presented, where 𝜶 and 𝜷 are the model parameters. The assumption of f () is based on the fact that its behavior should change with assumed parametric values of 𝜶 as well as 𝜷 within specific physical bounds. Two such models are presented based on the physically motivated shape function and energy conditions. We have elaborately shown, via mathematical calculations and graphical plots, the following features in our model: (i) energy conditions, especially NEC, which is very instructive in connection to energy violation in modified gravity theory, (ii) the wormhole solutions in the regime of Navarro-Frenk-White (NFW) density profiles for the galactic halo regions, (iii) treatment with particles moving in closed orbits around the wormholes which exhibit epicyclic frequencies, and (iv) the red-blue shifts of the light coming from the wormhole throat in the vicinity of the dark matter halos. All the results and behaviors are satisfactory as well as interesting.

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“…[99][100][101][102] However, this may differ in the case of modified theories of gravity. [40][41][42] Our presented wormhole models also correspond to this situation.…”

Section: Discussionsupporting

confidence: 63%

Section: Introductionmentioning

confidence: 99%

Relativistic wormhole surrounded by dark matter halos in symmetric teleparallel gravity

Mustafa

Maurya

Ray

2023

Fortschritte der Physik

Self Cite

View full text Add to dashboard Cite

show abstract

“…A comparative study between the previous model [44] and the present model, as far as NEC is concerned, we note that in the former model altogether the energy condition do violate for all the three cases. However, the present study shows that the situation is not so straight forward.…”

Section: Discussionmentioning

confidence: 68%

“…In one of our previous investigations [44] on wormhole we have considered following three shape functions: (i)…”

Section: Introductionmentioning

confidence: 99%

Traversable wormhole models in $f(R)$ gravity

Mishra,

Agrawal,

Tripathy

et al. 2021

Preprint

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In this work, we analyze the wormhole solutions in f (R) gravity. Specifically we sought for wormhole geometry solutions for the following three shape functions:, and (iii) b(r) = α + βr, under some legitimate physical conditions on the parameters as well as constants involved here with in the shape functions. It is observed from the graphical plots that the behaviour of the physical parameters are interesting and viable.

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“…Models of dynamical wormholes [29][30][31][32][33] also provide ways of restricting the violation of energy conditions. Other popular class modified gravity theories, where detailed analysis of wormhole geometries is done with viable matter source, are the so-called f (R) and higher order gravity theories [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50]. Recently, successful modelling and analysis of energy condition satisying wormholes are carried out within the framework of Born-Infeld gravity [51][52][53] and torsional gravity [54][55][56].…”

Section: Introductionmentioning

confidence: 99%

Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

Sharma

Ghosh

2021

Eur. Phys. J. C

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Ellis–Bronnikov (EB) wormholes require violation of null energy conditions at the ‘throat’. This problem was cured by a simple modification of the ‘shape function’, which introduces a new parameter $$m\ge 2$$ m ≥ 2 ($$m=2$$ m = 2 corresponds to the EB model). This leads to a generalised (GEB) version. In this work, we consider a model where the GEB wormhole geometry is embedded in a five dimensional warped background. We studied the status of all the energy conditions in detail for both EB and GEB embedding. We present our results analytically (wherever possible) and graphically. Remarkably, the presence of decaying warp factor leads to satisfaction of weak energy conditions even for the EB geometry, while the status of all the other energy conditions are improved compared to the four dimensional scenario. Besides inventing a new way to avoid the presence of exotic matter, in order to form a wormhole passage, our work reveals yet another advantage of having a warped extra dimension.

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Wormhole solutions in f(R) gravity

Cited by 38 publications

References 88 publications

Relativistic wormhole surrounded by dark matter halos in symmetric teleparallel gravity

Relativistic wormhole surrounded by dark matter halos in symmetric teleparallel gravity

Traversable wormhole models in $f(R)$ gravity

Generalised Ellis–Bronnikov wormholes embedded in warped braneworld background and energy conditions

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