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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One end of the wormhole is accelerated to some significant fraction of the speed of light, perhaps with some advanced propulsion systemand then brought back to the point of origin. Such an interaction prevents the formation of a gravitational singularity.
According to general relativity, the gravitational collapse of a sufficiently compact mass forms a singular Schwarzschild black hole. American theoretical physicist John Archibald Wheeler inspired by Weyl’s work  coined the term “wormhole” in a paper co-authored by Charles Misner: 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 In order to satisfy this requirement, it turns out that in addition to the woemholes hole interior region that particles enter when they fall through the event horizon from the outside, there must be a separate white hole interior region that allows us to extrapolate the trajectories of particles that an outside observer sees rising up away from the event horizon.
Energy conditions in the Boulware vacuum”.
From Wikipedia, the free encyclopedia. For this reason, the type of 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.
An alternative to cosmic inflation”. Black holes Most massive Nearest Quasars.
Lorentzian wormholes: from Einstein to Hawking – Matt Visser – Google Books
Until this time it could not have been noticed or have been used. For a simplified notion of a wormhole, space can be visualized as a wormyoles 2D surface. Alternatively, another way is to take one entrance of the wormhole and move it to within the gravitational field wofmholes an object that has higher gravity than the other entrance, and then return it to a position near the other entrance.
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 universe allowing us to extrapolate some possible particle trajectories in wormholss two interior regions. In this case, a wormhole would appear as a hole in that surface, lead into a 3D tube the inside surface of a cylinderthen re-emerge at another location on the 2D surface with a hole similar to the entrance.
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. In this way it would be much easier to traverse the distance since the two wormhoes are now touching.
The first type of wormhole solution discovered was the Schwarzschild wormhole which would be present in the Schwarzschild metric describing an eternal black holebut it was found that it would collapse too quickly for anything to cross from one end to the other.
Matt Visser: Book
However, it is known that quantum effects can lead to small measurable violations of the null energy condition, : According to the optical Raychaudhuri’s theoremthis requires a violation of the averaged null energy condition. Classical and Quantum Gravity. In this spacetime, it is possible to come up with coordinate systems such that if a hypersurface of constant time a set of points loerntzian all have the same time coordinate, such that every point on the surface has a space-like separation, giving what is called a ‘space-like surface’ is picked and an “embedding diagram” drawn depicting the wormholed of space at that time, the embedding diagram will look like a tube connecting the two exterior regions, known as an visesr bridge”.
Retrieved 20 February One significant limitation of such a time machine is that it is only possible to go as far back in time as the initial creation of the machine; : InMorris, Thorne and Yurtsever worked out lorenrzian to convert a wormhole traversing space into one traversing time by accelerating one of its two mouths.
Matt Visser: Book
What is left is the Ellis wormholea nongravitating, purely geometric, traversable wormhole. The sheet of paper represents a plane in the spacetime continuumand the two points represent a distance to be traveled, however theoretically a wormhole could connect these two points by folding that plane so the points are touching.
The equations of the theory of general relativity have valid solutions that contain wormholes. Lorentzian traversable wormholes would allow travel in both directions from one part of the universe to another part of that same universe very quickly or would allow travel from one universe to another. The impossibility of faster-than-light loerntzian speed only applies locally.
Other non-traversable wormholes include Lorentzian wormholes first proposed by John Archibald Wheeler inwormholes creating a spacetime foam in a general relativistic spacetime manifold depicted by a Lorentzian manifold and Euclidean wormholes named after Euclidean manifolda structure of Riemannian manifold.
A possible resolution to the paradoxes resulting from wormhole-enabled time travel rests on the many-worlds interpretation of quantum mechanics. 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.
However, in a paper, Visser hypothesized that a complex ” Roman ring ” named after Tom Roman configuration of an N number of wormholes arranged in a symmetric polygon could still act as a time machine, although he concludes that this is more likely a flaw in classical quantum gravity theory rather than proof that causality violation is possible. The possibility of communication between parallel universes has been dubbed interuniversal travel.
We call such a connection between the two sheets a “bridge”.