Warpax toolkit demonstrates that observer-robust optimization finds more extensive and severe energy-condition violations in warp drive metrics than single-frame Eulerian analysis.
Symbolic tensor calculus on manifolds: a SageMath implementation
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abstract
These lecture notes present a method for symbolic tensor calculus that (i) runs on fully specified smooth manifolds (described by an atlas), (ii) is not limited to a single coordinate chart or vector frame, (iii) runs even on non-parallelizable manifolds and (iv) is independent of the symbolic backend used to perform calculus at the level of coordinate expressions. In addition to the main ideas, we discuss some details of the implementation in the open-source mathematics software system SageMath, which has been performed via the SageManifolds project.
fields
gr-qc 2years
2026 2representative citing papers
Horizon multipole moments of a Kerr black hole are computed in closed form from two definitions, yielding different values for l >= 1 at nonzero spin and sharing parity and small-spin scaling with field multipoles.
citing papers explorer
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Observer-robust energy condition verification for warp drive spacetimes
Warpax toolkit demonstrates that observer-robust optimization finds more extensive and severe energy-condition violations in warp drive metrics than single-frame Eulerian analysis.
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Horizon Multipole Moments of a Kerr Black Hole
Horizon multipole moments of a Kerr black hole are computed in closed form from two definitions, yielding different values for l >= 1 at nonzero spin and sharing parity and small-spin scaling with field multipoles.