Lorentzian wormholes: From Einstein to Hawking. Matt Visser (Washington U., St. Louis). ISBN: , Lorentzian wormholes: from Einstein to Hawking. Front Cover. Matt Visser. AIP Press, American Institute of Physics, – Science – pages. @ 23 January ; LATEX-ed Keywords: traversable wormholes, Lorentzian wormholes. Physical Review D
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And just as there are two separate interior regions of the maximally extended spacetime, there are also two separate exterior regions, sometimes called two different “universes”, with the second wormho,es allowing us to extrapolate some possible particle sormholes in the two interior regions. The solution depends on two parameters: According to current theories on the nature of wormholes, construction of a traversable wormhole would require the existence of a substance with negative cisser, often referred to as ” exotic matter “.
Schwarzschild wormholes, also known as Einstein—Rosen bridges  named after Albert Einstein and Nathan Rosen are connections between areas of space that can be modeled as vacuum solutions to the Einstein field equationsand that are now understood to be intrinsic parts of the maximally extended version of the Schwarzschild metric describing an eternal black hole with no charge and no rotation.
All four regions can be seen in a spacetime diagram that uses Kruskal—Szekeres coordinates.
Wormhole – Wikipedia
This theory extends general relativity by removing a constraint of the symmetry of the affine connection and regarding its antisymmetric part, the torsion tensor wormholez, as a dynamical variable. Here, “maximally extended” refers to the idea that the spacetime should not have any “edges”: The drainhole is a solution manifold of Einstein’s field equations for a vacuum space-time, modified by inclusion of a scalar field minimally coupled to the Ricci tensor with antiorthodox polarity negative instead of positive.
This page was last edited on 21 Decemberat For this reason, the type lorenzian traversable wormhole they proposed, held open by a spherical shell of exotic matterwas from to referred to in the literature as a Morris—Thorne wormhole.
However, it is known that quantum effects can lead to small measurable violations of the null energy condition, : Alternatively, another way is to take one entrance of the wormhole and move it to within the gravitational field of an object that has higher gravity than the other entrance, and then return it to a position near the other entrance.
InMatt Visser argued that the two mouths of a wormhole with such an induced clock difference could not be brought together without inducing quantum field and gravitational effects that would either make the wormhole collapse or the two mouths repel each other,  or otherwise prevent information from passing through the wormhole.
Journal of Mathematical Physics. Journal of Geometry and Physics. Wormholes that could be crossed in both directions, known as traversable wormholeswould only be possible if exotic matter with negative energy density could be used to stabilize them.
Matt Visser: Book
A wormhole or Einstein—Rosen bridge is a speculative structure linking disparate points in spacetimeand is based on a special solution of the Einstein field equations solved using a Jacobian matrix and determinant. I wouldn’t start from hereNew Scientist 1 February Wormholes have been defined both geometrically and topologically.
One type of non-traversable wormhole metric is the Schwarzschild solution see the first diagram:. In David Deutsch showed that quantum theory is fully consistent in the wormhholes that the so-called density matrix can be made free of discontinuities in spacetimes with closed timelike curves. American theoretical porentzian John Archibald Wheeler inspired by Weyl’s work  coined the term “wormhole” in a paper co-authored by Charles Misner: A wormhole could connect extremely long distances such as a billion light years or more, short distances such as a few metersdifferent universesor different points in time.
A possible resolution to the sormholes resulting from wormhole-enabled time travel rests on the many-worlds interpretation lodentzian quantum mechanics. According to general relativity, the gravitational collapse of a sufficiently compact mass forms a singular Schwarzschild black hole. When the infalling stellar matter is added to a diagram of a black hole’s history, it removes the part of the diagram corresponding to the white hole interior region, along with the part of the diagram corresponding to the other universe.
The minimal coupling between torsion and Dirac spinors generates a repulsive spin—spin interaction that is significant in fermionic llrentzian at extremely high densities. Wormholes are a common element in science fiction because they allow interstellar, intergalactic, and sometimes even interuniversal travel within human lifetime scales.
International Journal of Modern Physics D. Introduction History Mathematical formulation Tests. Kaluza—Klein theory Quantum gravity Supergravity.
Timelines in fiction in science fiction in games television series that include time travel. Such an interaction prevents the formation of a gravitational singularity.
Retrieved December 2, The impossibility of faster-than-light relative speed only applies locally. The possibility of communication between parallel universes has been dubbed interuniversal travel. This means that the interior black hole region can contain a mix of particles that fell in from either universe and thus an observer who fell in from one universe might be able to see light that fell in from the other oneand likewise particles from the interior white hole region can escape into either universe.
Time Travel and Warp Drives. The Einstein—Rosen bridge was discovered by Ludwig Flamm in a few months after Schwarzschild published his solution, and was rediscovered by Albert Einstein and his colleague Nathan Rosen, who published their result in More technically, the wormhole spacetime requires a distribution of energy that violates various energy conditionssuch as the null energy condition along with the weak, strong, and dominant energy conditions.
The Birth of Wormholes”. Energy conditions in the Boulware vacuum”.
A particle model in general relativity”. Comments on Hawking’s Chronology Vissfr Conjecture”. Kip Thorne and his graduate student Mike Morrisunaware worrmholes the papers by Ellis and Bronnikov, manufactured, and in published, a duplicate of the Ellis wormhole for use as a tool for teaching general relativity.
If two points are connected by a wormhole whose length vissr shorter than the distance between them outside the wormhole, the time taken to traverse it could be less than the time it would take a light beam to make the journey if it took a path through the space outside the wormhole. Principle of relativity Theory of relativity Frame of reference Inertial frame of reference Rest frame Center-of-momentum frame Equivalence principle Mass—energy equivalence Special relativity Doubly special relativity de Sitter invariant special relativity World line Riemannian geometry.
An excellent and more concise review.