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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 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 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 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

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

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

We present an analysis of the classic Alcubierre metric based on conformal gravity, rather than standard general relativity. The main characteristics of the resulting warp drive remain the same as in the original study by Alcubierre, namely…

General Relativity and Quantum Cosmology · Physics 2014-04-22 Gabriele U. Varieschi , Zily Burstein

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

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

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

Negative energy scenarios are the most widely studied for the warp metric. In fact, the prevailing view in the community so far has been that the warp metric necessarily has negative energies. In this work it is shown that the issue of…

General Physics · Physics 2023-04-21 G. Abellan , N. Bolivar , I. Vasilev

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

I show how a minor modification of the Alcubierre geometry can dramatically improve the total energy requirements for a `warp bubble' that can be used to transport macroscopic objects. A spacetime is presented for which the total negative…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Chris Van Den Broeck

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

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

We present a global metric describing closed timelike curves embedded in Minkowski spacetime. Physically, the metric represents an Alcubierre warp drive on a rotating platform. The physical realizability of such a metric is uncertain due to…

General Relativity and Quantum Cosmology · Physics 2020-12-04 T. C. Ralph , Chris Chang

We will apply the quantum inequality type restrictions to Alcubierre's warp drive metric on a scale in which a local region of spacetime can be considered ``flat''. These are inequalities that restrict the magnitude and extent of the…

General Relativity and Quantum Cosmology · Physics 2009-10-30 Michael J. Pfenning , L. H. Ford
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