Traversable wormholes: Minimum violation of the null energy condition revisited

Заславский, О. Б.

doi:10.1103/physrevd.76.044017

Cited by 35 publications

(5 citation statements)

References 13 publications

(32 reference statements)

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“…This violation of the energy condition is conventionally a problematic issue that requires a resolution or at least a minimization [19][20][21][22]. Numerous studies have endeavored to address the nature of exotic matter within various settings [23][24][25][26]. One approach is to construct thin-shell wormholes in the context of GR via cut-and-paste procedure in which the exotic matter source is minimized by concentrating at the wormhole's throat [23,[27][28][29].…”

Section: Introductionmentioning

confidence: 99%

Black hole solutions in Rastall theory

2017

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The Reissner-Nordström black hole solution in a generic cosmological constant background in the the context of Rastall gravity is obtained. It is shown that the cosmological constant arises naturally from the consistency of the non-vacuum field equations of the Rastall theory for a spherical symmetric spacetime, rather than its ad-hoc introduction in the usual Einstein and Einstein-Maxwell field equations. The usual Reissner-Nordström, Schwarzschild and Schwarzschild-(anti)de Sitter black hole solutions in the framework of this theory are also addressed as the special independent subclasses of the obtained general solution.

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Section: Introductionmentioning

confidence: 99%

Black hole solutions in Rastall theory

2017

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“…Problems with arbitrarily small amounts of exotic matter are also discussed in Ref. [7], but the author states explicitly that the issues discussed here and in Ref. [6] are beyond the scope of his paper.…”

Section: Introduction: Viable Wormhole Models At Lastmentioning

confidence: 99%

More on wormholes supported by small amounts of exotic matter

Kuhfittig

2006

Phys. Rev. D

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Recent papers by Fewster and Roman have emphasized that wormholes supported by arbitrarily small amounts of exotic matter will have to be incredibly fine-tuned if they are to be traversable. This paper discusses a wormhole model that strikes a balance between two conflicting requirements, reducing the amount of exotic matter and fine-tuning the metric coefficients, ultimately resulting in an engineering challenge: one requirement can only be met at the expense of the other. The wormhole model is macroscopic and satisfies various traversability criteria.Comment: 8 pages AMSTeX; 3 figures adde

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“…Wormholes, in particular traversable wormholes, abound in general relativity and in gravitational theories. Traversable wormhole solutions were found first in [29,30], were placed in a proper framework [31], were studied as inflating solutions in [32], received the status of being the title of a book in [33], had their energy conditions analyzed in the case of dynamic solutions in [34], were built from vacuum stress-energy tensors in [35], were embedded in a cosmological constant setting in [36], had the energy conditions at the wormhole's throat generically reassessed in [37], were analyzed in relation to their shadows and quasinormal modes in [38], had collisions between their own mouths studied in [39], had a stability analysis performed in [40][41][42], see also [33], and had their possible connection to astrophysics being proposed in [43][44][45].…”

Section: Bubble Universes and Traversable Wormholesmentioning

confidence: 99%

Bubble universes and traversable wormholes

Lemos,

Luz

2022

Preprint

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I. INTRODUCTION A. Minkowski-Minkowski bubble universe and Minkowski-Minkowski traversable wormholeGeneral relativity is an excellent theory to study universe solutions and wormhole solutions from which bubble universes and traversable wormholes can arise as complementary to each other. To see this, one can attempt to find within the theory, Minkowski-Minkowski bubble universes and Minkowski-Minkowski traversable wormholes and study their properties. One picks up a Minkowski spacetime and at constant time cuts a ball in it, to obtain two spaces, namely, a 3-dimensional ball with a flat inside, and an infinite extended 3-dimensional flat space with a hole, which is the complement of the ball. Then one picks up another Minkowski spacetime and do the same, to get a second ball and a second infinite extended flat space with a hole. If one joins the two 3-dimensional balls along a 2-sphere, a shell containing matter, one obtains a single 3-space that including time makes altogether a static closed universe. If one joins the two complements, i.e., the two infinite extended 3-dimensional flat spaces with a hole in each, along a 2-sphere, a shell containing matter, one obtains a different single 3-space that including time makes altogether another universe, which is a traversable wormhole. Thus, one has a closed universe, which can be viewed as a bubble universe, and its complement, an open universe, which is a traversable wormhole. To implement the idea of a Minkowski-Minkowski closed universe, i.e., a bubble universe, and a Minkowski-Minkowski open universe, i.e., a traversable wormhole, one uses the equations of general relativity together with the appropriate thin shell formalism [1]. When one has a thin shell in an ambient spacetime one has the normal vector to the shell as an important quantity that will allow to determine how the thin shell curves in that space, i.e., allows to determine the extrinsic curvature of the shell, which besides the spacetime metric itself, is one of the quantities that has to match at both sides of the shell. Indeed, to find all possible shell solutions in an ambient spacetime one has to understand the fact that the normal to a shell can have two relative directions, such that, for static spherically symmetric spacetimes, the normal to the shell may point towards or away from the center of the coordinates. For intance, in an ambient Minkowski-Schwarzschild spacetime, more precisely, for a shell with a Minkowski interior with a center and a Schwarzschild exterior, usually called a fundamental shell, if the normal points to increasing coordinate radius r in the exterior, one has a star shell, i.e., a shell that represents a star. In the same ambient Minkowski-Schwarzschild spacetime, if the normal points to decreasing coordinate radius r one has a tension shell black hole, i.e., a shell supported by tension that is in the other side of the Kruskal-Szekeres diagram as was noted by . This can also be performed in an ambient Minkowski-Reissner-Nordström spacetime, yielding, instead of two fu...

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Traversable wormholes: Minimum violation of the null energy condition revisited

Cited by 35 publications

References 13 publications

Black hole solutions in Rastall theory

Black hole solutions in Rastall theory

More on wormholes supported by small amounts of exotic matter

Bubble universes and traversable wormholes

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