Wormhole solutions supported by interacting dark matter and dark energy

Folomeev, Vladimir; Dzhunushaliev, Vladimir

doi:10.1103/physrevd.89.064002

Cited by 12 publications

(5 citation statements)

References 95 publications

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“…Such anisotropic scenarios are obtained also for regular static, spherically symmetric solutions describing wormholes supported by dark matter non-minimally coupled to dark energy in the form of a quintessence scalar field [11].…”

Section: Introductionmentioning

confidence: 77%

“…The obtained negative values of the n-parameter are less than −1. This implies that there is no spherically symmetric traversable wormholes characterized by a radial metric component given by g −1 rr = 1−(r 0 /r) n+1 (with n > −1), and sustained by isotropic pressure sources with a linear equation of state (11), independently of the form of the redshift function φ(r). The implications of this result tell us that we must consider more general forms of the shape function b(r) and/or of the equation of state of the isotropic pressure p(ρ).…”

Section: On Spherical Wormholes With Isotropic Pressure and Lineamentioning

confidence: 99%

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Static spherically symmetric wormholes with isotropic pressure

Cataldo¹,

Liempi²,

Rodríguez³

2016

Physics Letters B

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In this paper we study static spherically symmetric wormhole solutions sustained by matter sources with isotropic pressure. We show that such spherical wormholes do not exist in the framework of zero-tidal-force wormholes. On the other hand, it is shown that for the often used power-law shape function there is no spherically symmetric traversable wormholes sustained by sources with a linear equation of state $p=\omega \rho$ for the isotropic pressure, independently of the form of the redshift function $\phi(r)$. We consider a solution obtained by Tolman at 1939 for describing static spheres of isotropic fluids, and show that it also may describe wormhole spacetimes with a power-law redshift function, which leads to a polynomial shape function, generalizing a power-law shape function, and inducing a solid angle deficit.Comment: 8 pages, 3 figure

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Section: Introductionmentioning

confidence: 77%

Section: On Spherical Wormholes With Isotropic Pressure and Lineamentioning

confidence: 99%

Static spherically symmetric wormholes with isotropic pressure

Cataldo¹,

Liempi²,

Rodríguez³

2016

Physics Letters B

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“…We can also extend the original model of wormhole to a more generalized cosmological traversable wormholes by introducing the fifth coordinate z as detailed in, 34 such that It is known that the presence of a nonminimal interaction between dark matter and dark energy may lead to a violation of the null energy condition and to the formation of a configuration with nontrivial topology like a wormhole. 35 Here the violation of N.E.C takes place only in the inner high-density regions of the configuration both between 2 < < 6 . .…”

Section: Final Remarksmentioning

confidence: 89%

Charged wormholes supported by 2-fluid immiscible matter particle

Islam¹,

Shaikh²,

Das³

et al. 2018

PAIJ

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We provide a 2-fluid immiscible matter source that supplies fuel to construct wormhole spacetime. The exact wormhole solutions are found in the model having, besides real matter or ordinary matter, some quintessence matter along with charge distribution. We intend to derive a general metric of a charged wormhole under some density profiles of galaxies that is also consistent with the observational profile of rotation curve of galaxies. We have shown that the effective mass remains positive as well as the wormhole physics violate the null energy conditions. Some physical features are briefly discussed.

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“…To close this section let us explore the stability of the obtained solutions using equilibrium conditions. For this purpose we utilize the TOV equation which is given by the conservation equation equation (16). The equilibrium state of the wormhole structure is determined through the three terms in this equation which are defined as gravitational, hydrostatic and anisotropic forces, respectively…”

Section: Solutions With φ(R) ̸ =mentioning

confidence: 99%

“…Work along this line has been performed in the literature for different matter distributions, for example, traversable wormhole geometries constructed by matter fields with exotic EMT have been studied in [14]. The case of phantom or quintom-type energy as the ingredient to sustain traversable wormholes has been investigated in [15] and wormholes supported by nonminimal interaction between dark matter and dark energy has been explored in [16], see also [17] for a comprehensive review. At quantum level, it has been shown that some effects due to quantum field theory, e.g.…”

Section: Introductionmentioning

confidence: 99%

Casimir wormholes in Brans–Dicke theory

Hadi Ziaie,

Reza Mehdizadeh

2024

Class. Quantum Grav.

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In recent years there has been a growing interest in the field of wormhole physics in the presence of Casimir effect. As this effect provides negative energy density, it can be utilized as an ideal candidate for the exotic matter required for creating a traversable wormhole. In the context of modified theories of gravity such as Brans–Dicke (BD) theory (Brans and Dicke 1961 Phys. Rev. 124 925), wormhole geometries have been vastly investigated. However, the scientific literature is silent on the issue of BD wormholes in the presence of Casimir energy. Our aim in the present study is to seek for static spherically symmetric solutions representing wormhole configurations in BD theory with Casimir energy as the supporting matter. The Casimir setup we assume comprises two electrically neutral, infinitely large parallel planes placed in a vacuum. We then consider the Casimir vacuum energy density of a scalar field in such a configuration with Dirichlet and mixed boundary conditions. In the former case the corresponding Casimir force is attractive and in the latter this force is repulsive. We present exact zero tidal force wormhole solutions as well as those with non vanishing redshift function for both types of Casimir energies. The conditions on wormhole solutions along with the weak (WEC) and null (NEC) energy conditions put constraints on the values of BD coupling parameter. These constraints are also subject to the value of BD scalar field at the throat and the throat radius. We therefore find that BD wormholes in the presence of Casimir energy can exist without violating NEC and WEC (for the repulsive Casimir force). Finally, we examine the equilibrium condition for stability of the obtained solutions using Tolman–Oppenheimer–Volkoff equation.

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Wormhole solutions supported by interacting dark matter and dark energy

Cited by 12 publications

References 95 publications

Static spherically symmetric wormholes with isotropic pressure

Static spherically symmetric wormholes with isotropic pressure

Charged wormholes supported by 2-fluid immiscible matter particle

Casimir wormholes in Brans–Dicke theory

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