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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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. This analysis forces one to consider situations The expansion goes from negative to positive.

I wouldn’t start from hereNew Scientist 1 February A possible resolution to the paradoxes resulting from wormhole-enabled time travel rests on the many-worlds interpretation of quantum mechanics. Gravitational singularity Penrose—Hawking singularity lorenyzian Primordial black hole Gravastar Dark star Dark-energy star Black star Eternally collapsing object Magnetospheric eternally collapsing object Fuzzball White hole Naked singularity Ring singularity Immirzi parameter Membrane paradigm Kugelblitz Wormhole Quasi-star.

In fiction, wormholes have also served as a method for time travel.

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. Introduction History Mathematical formulation Tests. This Casimir effect shows that quantum field theory allows the energy density in certain regions of space to be negative relative to the ordinary matter vacuum energyand it has been shown theoretically that quantum field theory allows states where energy can be arbitrarily negative at a given point.

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.

Black Holes and Time Warps. Such an interaction prevents the formation of a gravitational singularity. Fundamental concepts 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.

Retrieved December 2, 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.


From Wikipedia, the free encyclopedia. Wormholes are a common element in science fiction because they allow interstellar, intergalactic, and lorentzzian even interuniversal travel within human lifetime scales.

The original Einstein—Rosen bridge was described in an article published in July 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. University of Chicago Press. For a simplified notion of a wormhole, space can be visualized as a two-dimensional 2D surface. The equations of the theory of general relativity have valid solutions that contain wormholes.

Kip Thorne and his graduate student Mike Morrisunaware of 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.

Matt Visser: Book

Kaluza—Klein theory Quantum gravity Supergravity. Grandfather paradox Causal loop. In this spacetime, it is possible to come up with coordinate systems such that if a hypersurface of constant time a set of points that 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 curvature of space at that time, the embedding diagram will look like a tube connecting the two exterior regions, known as an “Einstein—Rosen bridge”.

A wormhole or Einstein—Rosen bridge is a speculative structure linking disparate points in spacetimeand porentzian based on a special solution of the Einstein field equations solved using a Jacobian matrix and determinant. Journal of Geometry and Physics. Wormholes have been defined both geometrically and topologically.

Journal of Nonlinear Phenomena in Complex Systems. Another way to imagine wormholes is to take a sheet of wormhles and draw two somewhat distant points on one side of the paper.

American Journal of Physics. Note that the Schwarzschild metric describes an idealized black hole that exists eternally from the perspective of external observers; a more realistic black hole that forms at some particular time from a collapsing star would require a different metric.

To see why exotic matter is required, consider an incoming light front traveling along geodesics, which then crosses the wormhole and re-expands worhmoles the other side.


In some hypotheses where general relativity is modifiedit is possible to have a wormhole that does not collapse without having to resort to exotic matter.

The Birth of Wormholes”. The Einstein—Rosen bridge was discovered by Ludwig Flamm in[10] a few months after Schwarzschild published his solution, and was rediscovered by Albert Einstein and his colleague Nathan Rosen, who published their result in According to the optical Raychaudhuri’s theoremthis requires a violation of the averaged null energy condition. All four regions can be seen in a spacetime diagram that uses Kruskal—Szekeres coordinates. For other uses, see Wormhole disambiguation.


Lorentzian wormholes: from Einstein to Hawking – Matt Visser – Google Books

An alternative to cosmic inflation”. In other projects Wikimedia Commons. The Tenth Marcel Grossmann Meeting.

An excellent and more concise review. An example of a traversable wormhole metric is the following: Schwarzschild wormholes, also known as Einstein—Rosen bridges [7] named after Albert Einstein and Nathan Rosen[8] 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 wormhooles with no charge and no rotation.

A wormhole can be visualized as a tunnel with two ends, each at separate points in spacetime i. InMatt Visser argued loeentzian the two mouths of a wormhole lorebtzian 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, [42] qormholes otherwise prevent information from passing through 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.