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| Format: | Preprint |
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2025
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| Online Access: | https://arxiv.org/abs/2512.18008 |
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| _version_ | 1866912779114381312 |
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| author | Rodal, José |
| author_facet | Rodal, José |
| contents | We present the first fully explicit, continuous, analytically derived warp-drive spacetime within General Relativity whose shift-vector flow is kinematically irrotational. Building on Santiago \emph{et al.} that scalar-potential, zero-vorticity warp fields are Hawking-Ellis Type I for unit lapse and flat spatial slices, we supply a closed-form scalar potential and smooth shift components with proper boundary behavior, together with a Cartan-tetrad analytic pipeline and high-precision eigenanalysis. Compared with the Alcubierre and Natário models (evaluated at identical parameters $ρ, σ, v/c$), our irrotational solution exhibits \emph{significantly reduced} local NEC/WEC stress: its peak proper-energy deficit is reduced by a factor of $\approx 38$ relative to Alcubierre and $\approx 2.6 \times 10^{3}$ relative to Natário, and its peak NEC violation is more than $60 \times$ smaller than Natário. Crucially, the stress-energy is \emph{globally} Hawking-Ellis Type I, with a well-defined timelike eigenvalue (proper energy density) everywhere. A fixed-smoothing vortical ablation confirms that this improvement is causally due to irrotational, curl-free kinematics rather than profile shaping: adding modest vorticity collapses the $E_{+} / E_{-}$ balance and drives large increases in the negative-energy magnitude $E_{-}$. We quantify the negative-energy requirement via a \emph{slice-integrated} (on $Σ_{t}$) negative-energy volume and tabulate global measures. A far-field extrapolation to $R \to \infty$ yields tail-corrected totals $|E_{+} - E_{-}| / (E_{+} + E_{-}) = 0.04\%$. Thus the net \emph{proper} energy is consistent with zero to four decimal places (in fractional units). We also establish regularity at $r=0$ for the irrotational construction. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2512_18008 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A warp drive with predominantly positive invariant energy density and global Hawking-Ellis Type I Rodal, José General Relativity and Quantum Cosmology We present the first fully explicit, continuous, analytically derived warp-drive spacetime within General Relativity whose shift-vector flow is kinematically irrotational. Building on Santiago \emph{et al.} that scalar-potential, zero-vorticity warp fields are Hawking-Ellis Type I for unit lapse and flat spatial slices, we supply a closed-form scalar potential and smooth shift components with proper boundary behavior, together with a Cartan-tetrad analytic pipeline and high-precision eigenanalysis. Compared with the Alcubierre and Natário models (evaluated at identical parameters $ρ, σ, v/c$), our irrotational solution exhibits \emph{significantly reduced} local NEC/WEC stress: its peak proper-energy deficit is reduced by a factor of $\approx 38$ relative to Alcubierre and $\approx 2.6 \times 10^{3}$ relative to Natário, and its peak NEC violation is more than $60 \times$ smaller than Natário. Crucially, the stress-energy is \emph{globally} Hawking-Ellis Type I, with a well-defined timelike eigenvalue (proper energy density) everywhere. A fixed-smoothing vortical ablation confirms that this improvement is causally due to irrotational, curl-free kinematics rather than profile shaping: adding modest vorticity collapses the $E_{+} / E_{-}$ balance and drives large increases in the negative-energy magnitude $E_{-}$. We quantify the negative-energy requirement via a \emph{slice-integrated} (on $Σ_{t}$) negative-energy volume and tabulate global measures. A far-field extrapolation to $R \to \infty$ yields tail-corrected totals $|E_{+} - E_{-}| / (E_{+} + E_{-}) = 0.04\%$. Thus the net \emph{proper} energy is consistent with zero to four decimal places (in fractional units). We also establish regularity at $r=0$ for the irrotational construction. |
| title | A warp drive with predominantly positive invariant energy density and global Hawking-Ellis Type I |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2512.18008 |