Visualization and analysis of the curvature invariants in the Alcubierre warp-drive spacetime

DOI10.1007/S10714-023-03182-9zbMATH Open1544.83011MaRDI QIDQ6544052

José J. A. Rodal

Publication date: 27 May 2024

Published in: General Relativity and Gravitation (Search for Journal in Brave)

zbMATH Keywords

Ricci tensorWeyl tensorEinstein tensorcurvature invariantsKretschmann scalarAlcubierre warp-drive

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Equations of motion in general relativity and gravitational theory (83C10)

Cites Work

• Invariants of the Riemann tensor for class \(B\) warped product space-times
• A complete set of Riemann invariants
• A discussion of space-time metric engineering
• Charged dust solutions for the warp drive spacetime
• On the geometry of warped spacetimes
• Algebraic invariants of the Riemann tensor in a four-dimensional Lorentzian space
• The unphysical nature of `warp drive'
• Quantum effects in the Alcubierre warp-drive spacetime
• Exact Solutions of Einstein's Field Equations
• Superluminal Travel Requires Negative Energies
• Fundamental limitations on ‘warp drive’ spacetimes
• SECOND ORDER SCALAR INVARIANTS OF THE RIEMANN TENSOR: APPLICATIONS TO BLACK HOLE SPACETIMES
• Null geodesics in the Alcubierre warp-drive spacetime: the view from the bridge
• A `warp drive' with more reasonable total energy requirements
• On the total energy conservation of the Alcubierre spacetime
• Positive energy warp drive from hidden geometric structures
• Introducing physical warp drives
• Breaking the warp barrier: hyper-fast solitons in Einstein–Maxwell-plasma theory
• Warp Drive Basics
• The Large Scale Structure of Space-Time
• Finite Rotating Universe
• On the algebraic invariants of the four-dimensional Riemann tensor
• Petrov classification of analogue spacetimes
• Influence of anisotropic matter on the alcubierre metric and other related metrics: revisiting the problem of negative energy
• Petrov type I spacetime curvature: Principal null vector spanning dimension

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