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What no one has seen before: gravitational waveforms from warp drive collapse (2406.02466v2)

Published 4 Jun 2024 in gr-qc and astro-ph.HE

Abstract: Despite originating in science fiction, warp drives have a concrete description in general relativity, with Alcubierre first proposing a spacetime metric that supported faster-than-light travel. Whilst there are numerous practical barriers to their implementation in real life, including a requirement for negative energy, computationally, one can simulate their evolution in time given an equation of state describing the matter. In this work, we study the signatures arising from a warp drive "containment failure", assuming a stiff equation of state for the fluid. We compute the emitted gravitational-wave signal and track the energy fluxes of the fluid. Apart from its rather speculative application to the search for extraterrestrial life in gravitational-wave detector data, this work is interesting as a study of the dynamical evolution and stability of spacetimes that violate the null energy condition. Our work highlights the importance of exploring strange new spacetimes, to (boldly) simulate what no one has seen before.

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Summary

  • The paper uses numerical relativity with a 3+1 decomposition to simulate gravitational wave signatures during a warp drive collapse.
  • It finds a distinct burst-like waveform whose frequency scales with bubble dimensions, differing from common astrophysical signals.
  • The study highlights complex energy flux dynamics, prompting further inquiry into the stability of NEC-violating matter.

Gravitational Waveforms Arising from Warp Drive Collapse

The paper "What no one has seen before: gravitational waveforms from warp drive collapse" explores the computational simulation of warp drives within the context of general relativity, particularly focusing on the gravitational waveforms emitted during a hypothetical warp drive collapse. Although originating in science fiction, warp drives have been cast into theoretical physics via the Alcubierre metric, which permits faster-than-light travel through a spacetime structure known as a "warp bubble." This paper investigates the dynamics and gravitational wave (GW) signatures resulting from the collapse of such a bubble, employing numerical relativity (NR) simulations as a tool for this exploration.

The authors establish their computational framework using a $3+1$ decomposition approach to solve Einstein’s equations for the Alcubierre warp drive metric. The paper specifically considers the evolutions set in motion by a collapse or destabilization of the warp drive, which entails a "containment failure.” They describe the initial conditions with a spacetime metric analogous to Alcubierre’s construction and a fluid with a stiff equation of state. This modeling choice stems from the inadequacy of real-world matter to maintain such a spacetime under practical or known physical laws, thus necessitating assumptions that include violation of the null energy condition (NEC).

From the numerical results, the paper reveals that the gravitational waves from the warp bubble's collapse exhibit a distinct burst-like signature, with frequencies dictated by the warp bubble’s dimensions. Such signals differ notably from typical compact binary coalescences and align more closely with transient events like neutron star collapse or black hole formations. Notably, the frequency scales with the size of the bubble, placing kilometric-sized bubbles in a frequency range (hundreds of kilohertz) that exceeds the sensitivities of current GW observatories. Nevertheless, the paper posits that future high-frequency detectors may feasibly detect these signatures, given their amplitude.

Further, the investigation into energy fluxes displays that the collapse results in complex dynamics involving alternating waves of positive and negative energy flux. This aspect provokes questions about the physical feasibility and stability of NEC-violating matter and its potential to emit gravitational and perhaps other forms of radiation under dynamic evolution.

The subject of warp drives remains speculative, primarily constrained by the requirement for exotic matter that violates the NEC, among other theoretical challenges. However, by simulating and analyzing the collapse of warp drives, this paper broadens the phenomenological catalog of GW signatures and enriches the understanding of spacetimes defying conventional energy conditions. Such analysis extends theoretical considerations to include the possible detection and characterization of exotic physical phenomena.

The paper suggests avenues for future research, such as exploring different equations of state or considering relativistic speeds beyond light speed, where additional relativistic effects and pathologies may arise. Moreover, it opens discussions on advanced GW signal processing techniques necessary to identify such speculative events amid existing astrophysical signals.

Overall, the paper offers insights into the frontier where speculative theoretical constructs meet computational physics, contributing to ongoing discussions about the limits and possibilities of general relativity and high-energy physics.

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