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Related papers: Shift vector symmetry in the Alcubierre warp drive…

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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

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

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

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

This work analyzes the Darmois junction conditions matching an interior Alcubierre warp drive spacetime to an exterior Minkowski geometry. The joining hypersurface requires that the shift vector of the warp drive spacetime must satisfy the…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

In 1994, Miguel Alcubierre proposed that the well-known special relativistic limitation that particles cannot travel with velocities higher than light speed can be bypassed when such trips are considered globally within specific general…

General Relativity and Quantum Cosmology · Physics 2025-08-29 Osvaldo L. Santos-Pereira

Alcubierre proposed in 1994 that the well known special relativistic limitation that particles cannot travel with velocities bigger than the light speed can be bypassed when such trips are considered globally within specific general…

General Relativity and Quantum Cosmology · Physics 2023-01-31 Osvaldo L. Santos-Pereira , Everton M. C. Abreu , Marcelo B. Ribeiro

The Alcubierre warp drive is an exotic solution in general relativity. It allows for superluminal travel at the cost of enormous amounts of matter with negative mass density. For this reason, the Alcubierre warp drive has been widely…

General Relativity and Quantum Cosmology · Physics 2021-02-18 Alexey Bobrick , Gianni Martire

In this paper the problem of the quantum stability of the two-dimensional warp drive spacetime moving with an apparent faster than light velocity is considered. We regard as a maximum extension beyond the event horizon of that spacetime its…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Pedro F. Gonzalez-Diaz

Warp drives are exotic solutions of general relativity that offer novel means of transportation. In this study, we present a solution for a constant-velocity subluminal warp drive that satisfies all of the energy conditions. The solution…

General Relativity and Quantum Cosmology · Physics 2024-05-07 Jared Fuchs , Christopher Helmerich , Alexey Bobrick , Luke Sellers , Brandon Melcher , Gianni Martire

Alcubierre warp drive metric is coupled to quantum mechanical scalar matter field. The requirement of the exotic matter for the warp drive is mapped into a conformal wave equation. This result into a fourth order partial differential…

General Physics · Physics 2022-05-06 Sijo K. Joseph

We first take a closer look at the original warp drive proposal by Alcubierre, examine its kinematics in the context of a covariant 3+1 setting, and explain some drawbacks of this construction. In this model, changes of the velocity profile…

General Relativity and Quantum Cosmology · Physics 2026-05-06 Thomas Buchert , Antony Frackowiak

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

The null geodesic equations in the Alcubierre warp drive spacetime are numerically integrated to determine the angular deflection and redshift of photons which propagate through the distortion of the ``warp drive'' bubble to reach an…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Chad Clark , William A. Hiscock , Shane L. Larson

The Alcubierre warp drive allows a spaceship to travel at an arbitrarily large global velocity by deforming the spacetime in a bubble around the spaceship. Little is known about the interactions between massive particles and the Alcubierre…

General Relativity and Quantum Cosmology · Physics 2015-06-04 Brendan McMonigal , Geraint F. Lewis , Philip O'Byrne

In this paper, the initial value problem of the convection-diffusion equation of Burgers type is treated. In the asymptotic profile of solutions, the nonlinearity of the equation is reflected. Regarding the solutions to this model, the…

Analysis of PDEs · Mathematics 2025-10-30 Masakazu Yamamoto

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

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

The expectation value of the stress-energy tensor of a free conformally invariant scalar field is computed in a two-dimensional reduction of the Alcubierre ``warp drive'' spacetime. The stress-energy is found to diverge if the apparent…

General Relativity and Quantum Cosmology · Physics 2010-04-06 William A. Hiscock

"Warp drive" spacetimes are useful as "gedanken-experiments" that force us to confront the foundations of general relativity, and among other things, to precisely formulate the notion of "superluminal" communication. We verify the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Francisco S. N. Lobo , Matt Visser
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