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Recent solutions to the Einstein Field Equations involving negative energy densities, i.e., matter violating the weak-energy-condition, have been obtained, namely traversable wormholes, the Alcubierre warp drive and the Krasnikov tube.…

General Relativity and Quantum Cosmology · Physics 2022-09-21 Francisco Lobo , Paulo Crawford

The Alcubierre metric is a spacetime geometry where a massive particle inside a spacetime distortion, called warp bubble, is able to travel at velocities arbitrarily higher than the velocity of light, a feature known as the warp drive. This…

General Relativity and Quantum Cosmology · Physics 2020-09-01 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

"Warp drive" spacetimes and wormhole geometries are useful as "gedanken-experiments" that force us to confront the foundations of general relativity, and among other issues, to precisely formulate the notion of "superluminal" travel and…

General Relativity and Quantum Cosmology · Physics 2021-03-11 Miguel Alcubierre , Francisco S. N. Lobo

The question of whether it is possible or not to surpass the speed of light is already centennial. The special theory of relativity took the existence of a speed limit as a principle, the light postulate, which has proven to be enormously…

General Relativity and Quantum Cosmology · Physics 2010-01-29 Carlos Barceló , Stefano Finazzi , Stefano Liberati

In 1990 Alcubierre, within the General Relativity model for space-time, proposed a scenario for `warp drive' faster than light travel, in which objects would achieve such speeds by actually being stationary within a bubble of space which…

General Physics · Physics 2007-07-24 Reginald T. Cahill

In a seminal paper, Alcubierre showed that Einstein's theory of general relativity appears to allow a super-luminal motion. In the present study, we use a recent eternal-warp-drive solution found by Alcubierre to study the effect of Hawking…

General Relativity and Quantum Cosmology · Physics 2017-12-12 Kimet Jusufi , İzzet Sakallı , Ali Övgün

We propose a correspondence between the Morris--Thorne wormhole metric and a warp drive metric, which generalizes an earlier result by H. Ellis regarding the Schwarzschild black hole metric and makes it possible to embed a warp drive in a…

General Relativity and Quantum Cosmology · Physics 2024-04-12 R. Garattini , K. Zatrimaylov

The Alcubierre metric describes a spacetime geometry that allows a massive particle inside a spacetime distortion, called warp bubble, to travel with superluminal global velocities. In this work we advance solutions of the Einstein…

General Relativity and Quantum Cosmology · Physics 2021-09-06 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

Warp drives in Einstein's general theory of relativity provide a unique mechanism for manned interstellar travel. It is well-known that the classical superluminal soliton spacetimes require negative energy densities, likely sourced by…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Shaun D. B. Fell , Lavinia Heisenberg

The Alcubierre warp drive metric is a spacetime construction where a massive particle located inside a spacetime distortion, called warp bubble, travels at velocities arbitrarily higher than the velocity of light. This theoretically…

General Relativity and Quantum Cosmology · Physics 2021-02-24 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

In creating his gravitational field equations Einstein unjustifiedly assumed that inertial mass, and its energy equivalent, is a source of gravity. Denying this assumption allows modifying the field equations to a form in which a positive…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Homer G. Ellis

This work explores the set of coupled partial differential equations of the Einstein equations yielding vacuum solutions in the original Alcubierre warp drive metric with the cosmological constant. It is shown that under an appropriate…

General Relativity and Quantum Cosmology · Physics 2025-10-15 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

Alcubierre warp-drive was first to introduce superluminal travel from different approach. Instead of creating short cut through spacetime via a wormhole, geometrodynamics of simultaneously contract and expand spacetime were conjectured.…

General Physics · Physics 2023-04-06 Anuar Alias , Azman Jalar

The Alcubierre warp drive metric is a spacetime geometry featuring a spacetime distortion, called warp bubble, where a massive particle inside it acquires global superluminal velocities, or warp speeds. This work presents solutions of the…

General Relativity and Quantum Cosmology · Physics 2021-02-10 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

It is commonly accepted that superluminal travel may be used to facilitate time travel. This is a purely special-relativistic argument, using the fact that for observers in two frames of reference, separated by a spacelike interval, the…

General Relativity and Quantum Cosmology · Physics 2024-09-18 Barak Shoshany , Ben Snodgrass

Generalizing the result of H. Ellis who embedded a warp bubble in the background of a black hole, we introduce a warp bubble in a de Sitter universe. We show that under certain conditions (namely, that the bubble is moving in the radial…

General Relativity and Quantum Cosmology · Physics 2025-03-03 Remo Garattini , Kirill Zatrimaylov

A process for using curvature invariants is applied to evaluate the metrics for the Alcubierre and the Natario warp drives at a constant velocity.Curvature invariants are independent of coordinate bases, so plotting these invariants will be…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Brandon Mattingly , Abinash Kar , Matthew Gorban , William Julius , Cooper Watson , MD Ali , Andrew Baas , Caleb Elmore , Jeff Lee , Bahram Shakerin , Eric Davis , Gerald Cleaver

Some standard results on the initial value problem of general relativity in matter are reviewed. These results are applied first to show that in a well defined sense, finite perturbations in the gravitational field travel no faster than…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Robert J Low

Warp drives are very interesting configurations in General Relativity: At least theoretically, they provide a way to travel at superluminal speeds, albeit at the cost of requiring exotic matter to exist as solutions of Einstein's equations.…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Stefano Finazzi , Stefano Liberati , Carlos Barceló

As is well known, there exists warp drives in GR, such as the Alcubierre bubbles, which achieve an apparent faster than light travel \cite{alcubierre}. A result due to Gao and Wald \cite{gaowald} suggests that such a travel is unlikely for…

General Relativity and Quantum Cosmology · Physics 2022-04-18 J. Osorio Morales , O. Santillán