Self-dual Lorentzian wormholes in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>n</mml:mi></mml:math>-dimensional Einstein gravity

Cataldo, Mauricio; Salgado, P.; Minning, P.

doi:10.1103/physrevd.66.124008

Cited by 36 publications

(13 citation statements)

References 14 publications

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“…On general grounds, it has recently been shown that the amount of exotic matter needed at the wormhole throat can be made arbitrarily small thereby facilitating an easier construction of wormholes [21]. Lorentzian wormholes in spacetimes with more than four dimensions were analyzed by several authors [22][23][24]. In particular, wormholes in Gauss-Bonnet gravity were considered in Ref.…”

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confidence: 99%

Wormhole solutions in Gauss–Bonnet–Born–Infeld gravity

Dehghani

Hendi

2009

Gen Relativ Gravit

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A new class of solutions which yields an (n + 1)-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the whole spacetime. They may be interpreted as traversable wormholes which could be supported by matter not violating the weak energy conditions. We generalize this class of solutions to the case of rotating solutions and show that the rotating wormhole solutions have a net electric charge which is proportional to the magnitude of the rotation parameter, while the static wormhole has no net electric charge. Finally, we use the counterterm method and compute the conserved quantities of these spacetimes.

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confidence: 99%

Wormhole solutions in Gauss–Bonnet–Born–Infeld gravity

Dehghani

Hendi

2009

Gen Relativ Gravit

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“…In order to construct a traversable Schwarzschild Wormhole we must maintain the radial component of the metric and require that the redshift function has no horizons. We can also construct a generalized version of the Schwarzschild Wormhole, considering a linear shape function with the form b(r) = (1 − β)r 0 + βr, where β is a constant parameter and the β = 0 being the particular case of the Schwarzschild wormhole, also being considered a particular case of a self-dual wormhole with a null energy density [20,21]. A consequence of the β parameter is the presence of a increase or deficit of the solid angle at the asymptotic limit, depending on whether β is positive or negative.…”

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confidence: 99%

Schwarzschild-like Wormholes in Asymptotically Safe Gravity

Nilton

Alencar

2021

Universe

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In this paper, we analyze the Schwarzschild-like wormhole in the Asymptotically Safe Gravity(ASG) scenario. The ASG corrections are implemented via renormalization group methods, which, as consequence, provides a new tensor Xμν as a source to improved field equations, and promotes the Newton’s constant into a running coupling constant. In particular, we check whether the radial energy conditions are satisfied and compare with the results obtained from the usual theory. We show that only in the particular case of the wormhole being asymptotically flat(Schwarzschild Wormholes) that the radial energy conditions are satisfied at the throat, depending on the chosen values for its radius r0. In contrast, in the general Schwarzschild-like case, there is no possibility of the energy conditions being satisfied nearby the throat, as in the usual case. After that, we calculate the radial state parameter, ω(r), in r0, in order to verify what type of cosmologic matter is allowed at the wormhole throat, and we show that in both cases there is the possibility of the presence of exotic matter, phantom or quintessence-like matter. Finally, we give the ω(r) solutions for all regions of space. Interestingly, we find that Schwarzschild-like Wormholes with excess of solid angle of the sphere in the asymptotic limit have the possibility of having non-exotic matter as source for certain values of the radial coordinate r. Furthermore, it was observed that quantum gravity corrections due the ASG necessarily imply regions with phantom-like matter, both for Schwarzschild and for Schwarzschild-like wormholes. This reinforces the supposition that a phantom fluid is always present for wormholes in this context.

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“…Roughly speaking, the matter violates the weak/null energy conditions called 'exotic matter' [11] at least in a neighborhood of the wormhole throat. Such strange object exists both in the static [12][13][14][15] as well as dynamic [16][17][18][19][20][21] cases, and sustained by a single fluid component. Thus, minimize the use of exotic matter is always a subject of an intense research area.…”

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confidence: 99%

Wormholes in $f(R,T)$ gravity satisfying the null energy condition with isotropic pressure

Banerjee¹,

Jasim²,

Ghosh³

2020

Preprint

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We consider f (R, T ) theory of gravity, in which the gravitational Lagrangian is given by an arbitrary function of the Ricci scalar and the trace of the energy-momentum tensor, to study static spherically symmetric wormhole geometries sustained by matter sources with isotropic pressure. According to restrictions on the wormhole geometries, we carefully adopt different strategies to construct solutions with the properties and characteristics of wormholes. Using a completely general procedure, we provide several examples of wormholes in which the matter threading the wormhole throat satisfies all of the energy conditions and discuss general mechanisms for finding them. Finally, we postulate a smooth transformation for simplifying the nonlinear field equations and have more consistent results than the other ones to conclude that the results can be viewed as specific exact wormhole solutions without the presence of exotic matter.

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Self-dual Lorentzian wormholes inn-dimensional Einstein gravity

Cited by 36 publications

References 14 publications

Wormhole solutions in Gauss–Bonnet–Born–Infeld gravity

Wormhole solutions in Gauss–Bonnet–Born–Infeld gravity

Schwarzschild-like Wormholes in Asymptotically Safe Gravity

Wormholes in $f(R,T)$ gravity satisfying the null energy condition with isotropic pressure

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