Wormholes in Wyman's solution

Formiga, J. B.; Almeida, T. S.

doi:10.1142/s0218271814500862

Cited by 6 publications

(4 citation statements)

References 28 publications

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“…In subsequent works we will extend the analysis to include other static wormhole solutions [61], among which we have wormholes in Wyman's solution [62] and wormholes in Hořava theory [63], and we will generate their imperfect fluid rotating counterparts.…”

Section: Resultsmentioning

confidence: 99%

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

2014

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We derive a shortcut stationary metric formula for generating imperfect fluid rotating solutions, in BoyerLindquist coordinates, from spherically symmetric static ones. We explore the properties of the curvature scalar and stress-energy tensor for all types of rotating regular solutions we can generate without restricting ourselves to specific examples of regular solutions (regular black holes or wormholes). We show through examples how it is generally possible to generate an imperfect fluid regular rotating solution via radial coordinate transformations. We derive rotating wormholes that are modeled as imperfect fluids and discuss their physical properties. These are independent on the way the stress-energy tensor is interpreted. A solution modeling an imperfect fluid rotating loop black hole is briefly discussed. We then specialize to the recently discussed stable exotic dust Ellis wormhole as emerged in a source-free radial electric or magnetic field, and we generate its, conjecturally stable, rotating counterpart. This turns out to be an exotic imperfect fluid wormhole, and we determine the stress-energy tensor of both the imperfect fluid and the electric or magnetic field.

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Section: Resultsmentioning

confidence: 99%

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

2014

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“…In particular, no wormhole throats exist, contrarily to claims in the literature(Formiga and Almeida, 2014).…”

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confidence: 82%

Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land

Faraoni,

Giusti,

Fahim

2021

Preprint

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We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, and Horndeski gravity. The zoo includes both static and dynamic solutions, asymptotically flat, and asymptotically Friedmann-Lemaître-Robertson-Walker ones. We minimize overlap with existing books and reviews and we place emphasis on scalar field spacetimes and on geometries that are "general" within certain classes. Relations between various solutions, which have largely emerged during the last decade, are pointed out.

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“…Since Fisher solution possesses wormholes [13], it is natural that the spacetime (4) presents wormhole too. To find the values of m and n for which this happens, let us use the definition of a traversable wormhole throat given by Hochberg and Visser in Ref.…”

Section: A Wormholesmentioning

confidence: 99%

“…By following the same procedure as that of Ref. [13], one can write tr(k) and ∂tr(K)/∂n for a metric of the type…”

Section: A Wormholesmentioning

confidence: 99%

Analyzing the radial geodesics of the Campanelli–Lousto solutions

Formiga

2015

Gen Relativ Gravit

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When dealing with a spacetime, one usually searches for singularities, black holes, white holes and wormholes due to their importance to the motion of particles. There is a family of solution of the Brans-Dicke vacuum equations that has not been fully studied from this perspective. In this paper, I study some properties of this family and find the complete set of solutions that avoids singularity at the point where the metric diverges or degenerates. The possible changes in the metric signature when passing through this point is analyzed. In addition, I also study the radial geodesics and obtain the solutions of some particular cases.

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Wormholes in Wyman's solution

Cited by 6 publications

References 28 publications

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

From static to rotating to conformal static solutions: rotating imperfect fluid wormholes with(out) electric or magnetic field

Spherical inhomogeneous solutions of Einstein and scalar-tensor gravity: a map of the land

Analyzing the radial geodesics of the Campanelli–Lousto solutions

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