Transmission of low-energy scalar waves through a traversable wormhole

Azad, Bahareh; Loran, Farhang; Mostafazadeh, Alí

doi:10.1140/epjc/s10052-020-08668-3

Cited by 10 publications

(13 citation statements)

References 73 publications

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“…After a suitable choice of the red-shift function Φ(r) (31) respecting all the requirements listed in Section II, the form or shape function b(r) was obtained by plugging (31) into the Eq. ( 29), leading to (34), after cure the wormhole throat condition b(r 0 ) = r 0 , and by adding a constant parameter δ. This results in an asymptotically flat wormhole space-time, given by (36).…”

Section: Discussionmentioning

confidence: 99%

“…In addition, note that the integration of Eq. ( 44), using (34), can not be done analytically. Therefore, a numerical treatment has been done in order to illustrate the wormhole shape given in Fig.…”

Section: B the Modelmentioning

confidence: 99%

“…Of course, the solution ( 52) is a particular solution of the differential inequality (51). Notwithstanding, it is sufficient to establish whether the shape function (34) obtained from the class I methodology is leading or not to the satisfaction of the Eq. ( 48).…”

Section: The Energy Conditions and Ghost Fieldsmentioning

confidence: 99%

“…( 48). This is possible if and only if (34) in bounded from above by ( 52) at the wormhole throat and its neighborhood. The left panel of Fig.…”

Section: The Energy Conditions and Ghost Fieldsmentioning

confidence: 99%

“…A new class of f(R)-gravity models with wormhole solutions and cosmological properties have been obtained in [28]. Some more research on wormhole solution in f (R) gravity are presented in [29][30][31][32][33][34][35], what is more in [36] a simple description of the formation of wormholes by placing two massive objects in two parallel universes was given.…”

Section: Introductionmentioning

confidence: 99%

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f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

Agrawal,

Mishra,

Tello-Ortiz

et al. 2021

Preprint

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This work is devoted to the study of analytic wormhole solutions within the framework of f (R) gravity theory. To check the possibility of having wormhole structures satisfying the energy conditions, by means of the class I approach the pair {Φ(r), b(r)} describing the wormhole geometry has been obtained. Then, in conjunction with a remarkably f (R) gravity model, the satisfaction of the null and weak energy conditions at the wormhole throat and its neighbourhood is investigated. To do so, some constant parameters have been bounded restricting the space parameter. In this concern, the f (R) gravity model and its derivatives are playing a major role, specially in considering the violation of the non-existence theorem. Furthermore, the shape function should be bounded from above by the Gronwall-Bellman shape function, where the red-shift function plays a relevant role. By analyzing the main properties at the spatial stations and tidal accelerations at the wormhole throat, possibilities and conditions for human travel are explored.

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Section: Discussionmentioning

confidence: 99%

Section: B the Modelmentioning

confidence: 99%

Section: The Energy Conditions and Ghost Fieldsmentioning

confidence: 99%

“…( 48). This is possible if and only if (34) in bounded from above by ( 52) at the wormhole throat and its neighborhood. The left panel of Fig.…”

Section: The Energy Conditions and Ghost Fieldsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

Agrawal,

Mishra,

Tello-Ortiz

et al. 2021

Preprint

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f(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space E⁵

Agrawal

Mishra

Tello‐Ortiz

et al. 2022

Fortschritte der Physik

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This work is devoted to the study of analytic wormhole solutions within the framework of ffalse(Rfalse)$f(R)$ gravity theory. To check the possibility of having wormhole structures satisfying energy conditions, by means of the class I approach the pair false{normalΦfalse(rfalse),bfalse(rfalse)false}$\lbrace \Phi (r), b(r)\rbrace$ describing the wormhole geometry has been obtained. Then, in conjunction with a remarkably ffalse(Rfalse)$f(R)$ gravity model, the satisfaction of the null and weak energy conditions at the wormhole throat and its neighborhood is investigated. To do so, some constant parameters have been bounded restricting the space parameter. In this concern, the ffalse(Rfalse)$f(R)$ gravity model and its derivatives are playing a major role, specially in considering the violation of the non–existence theorem. Furthermore, the shape function should be bounded from above by the Gronwall–Bellman shape function, where the red–shift function plays a relevant role. By analyzing the main properties at the spatial stations and tidal accelerations at the wormhole throat, possibilities and conditions for human travel are explored.

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Quasinormal Modes of Static Ellis-Bronnikov Wormholes

Azad

2023

Lecture Notes in Physics

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Quasinormal modes represent characteristic features of compact objects, since they entail their reaction to perturbations. While black holes and neutron stars in general relativity have been extensively studied and their quasinormal modes are well-known, the complete set of quasinormal modes for wormholes was only recently obtained. Here we discuss how to determine these quasinormal modes of Ellis-Bronnikov wormholes. These wormholes are static spherically symmetric solutions of general relativity coupled to a phantom scalar field. We obtain the axial and polar quasinormal modes and show, that for the massless wormhole a threefold degeneracy of the modes arises, i.e., there is isospectrality of the modes.

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Transmission of low-energy scalar waves through a traversable wormhole

Cited by 10 publications

References 73 publications

f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

f(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space E⁵

Quasinormal Modes of Static Ellis-Bronnikov Wormholes

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Transmission of low-energy scalar waves through a traversable wormhole

Cited by 10 publications

References 73 publications

f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

f(R) wormholes embedded in a pseudo--Euclidean space $E^{5}$

f(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space E5

Quasinormal Modes of Static Ellis-Bronnikov Wormholes

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Product

Resources

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f(R)$f(R)$ Wormholes Embedded in a Pseudo–Euclidean Space E⁵