Asymptotically flat wormhole solutions with variable equation-of-state parameter

Parsaei, Foad; Rastgoo, S.

doi:10.1103/physrevd.99.104037

Cited by 17 publications

(20 citation statements)

References 57 publications

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“…This information allows us to close the θ -system determining the full θ μν tensor (and, consequently, the full energy-momentum tensor of the solution) and the decoupler function, f (r ), therefore closing the problem at least from a mathematical point of view. This approach motivates and also allows to support the idea that these type of solutions can be constituted by the dark sector, which dominates our Universe [11][12][13][14][15][16][17][18][19][41][42][43]. Even more, it provides a possible interpretation of the contribution introduced by MGD.…”

Section: Introductionmentioning

confidence: 81%

“…It is worth mentioning that Eqs. (15) and (19) are the hydrostatic equation describing the balance of the configuration. As can be seen there is a missing term in both expressions.…”

Section: Gravitational Decoupling By Mgdmentioning

confidence: 99%

“…The appearance of exotic matter seems to be a necessary condition to build up a well posed wormhole solution in the arena of General Relativity (GR from now on), regardless of whether it is a static or a dynamic solution [9,10]. In this concern, some authors have investigated the possibility of using dark matter/fluid such as phantom energy or Chaplygin gas to construct wormholes structures [11][12][13][14][15][16][17][18][19]. However, sometimes it is desirable to avoid the so-called exotic matter.…”

Section: Introductionmentioning

confidence: 99%

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Minimally deformed wormholes

2021

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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.

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Section: Introductionmentioning

confidence: 81%

“…It is worth mentioning that Eqs. (15) and (19) are the hydrostatic equation describing the balance of the configuration. As can be seen there is a missing term in both expressions.…”

Section: Gravitational Decoupling By Mgdmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Minimally deformed wormholes

2021

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“…In all of these papers, the violation of the NEC is inevitable in the whole of wormhole spacetime. Some authors have studied the wormhole with a variable EoS parameter in which ω = p ρ is a function of radial coordinate [62][63][64][65][66][67]. In some of these studies, the violation of energy condition is inevitable in the whole of spacetime [62].…”

Section: Introductionmentioning

confidence: 99%

“…They have investigated the possibility that these phantom wormholes be sustained by their own quantum fluctuations. In [67], a general formalism to find asymptotically flat wormholes with variable EoS parameter has been presented. Also, the physical difference between the cut and paste method and the intrinsically asymptotically flat wormholes which minimize the NEC has been discussed.…”

Section: Introductionmentioning

confidence: 99%

Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition

Parsaei

Rastgoo

2020

Eur. Phys. J. C

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This paper discusses wormholes supported by general equation-of-state , resulting in a significant combination of the linear equation-of-state and some other models. Wormhole with a quadratic equation-of-state is studied as a particular example. It is shown that the violation of null energy condition is restricted to some regions in the vicinity of the throat. The combination of barotropic and polytropic equation-of-state has been studied. We consider fluid near the wormhole throat in an exotic regime which at some r = r 1 , the exotic regime is connected to a distribution of asymptotically dark energy regime with −1 < ω < −1/3. We have presented wormhole solutions with small amount of exotic matter. We have shown that using different forms of equationof-state has a considerable effect on the minimizing violation of the null energy condition. The effect of many parameters such as redshift as detected by a distant observer and energy density at the throat on the r 1 is investigated. The solutions are asymptotically flat and compatible with presently available observational data at the large cosmic scale.

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Modeling Wormholes Generated by Dark Matter Galactic Halos in f(R)$f(R)$ Modified Gravity

et al. 2023

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Wormholes (WHs) are hypothetical topologically non‐trivial spacetime structures that can be freely traversed by observers and connect two asymptotic regions or infinities. From the current theoretical development, the prospect of their existence is challenging but cannot be excluded. In this paper, generalized Ellis–Bronikov (GEB) traversable WH geometries for static and spherically symmetric spacetime in the background of gravity is explored. First, the Tsujikawa‐like model and the shape function for the GEB model is considered, which depend on a sequence of simple Lorentzian WHs with two parameters: a free even integer exponent, n, besides the throat radius, r0. One also consider that these WHs are generated by dark matter galactic halos (DMGHs), based on the three most common phenomenological models, viz., Navarro–Frenk–White (NFW), Thomas–Fermi (TF), and pseudo‐isothermal (PI). In this concern, the satisfaction of the energy conditions (ECs) which are dependent on the dark matter (DM) models, viz., dominant energy condition (DEC) and strong energy condition (SEC) and those which are not dependent viz., null energy condition (NEC) and WEC at the WH throat and its neighborhood is investigated. Finally, the presence of exotic matter is confirmed by the violation of the NEC in all cases, revealing the supremacy and physical acceptability to support the existence of the WHs and making them compatible and traversable in Tsujikawa's‐like model.

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Asymptotically flat wormhole solutions with variable equation-of-state parameter

Cited by 17 publications

References 57 publications

Minimally deformed wormholes

Minimally deformed wormholes

Wormhole solutions with a polynomial equation-of-state and minimal violation of the null energy condition

Modeling Wormholes Generated by Dark Matter Galactic Halos in f(R)$f(R)$ Modified Gravity

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