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arXiv research

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3 results for “Weyl-Papapetrou”

A flow approach to Bartnik's static metric extension conjecture in axisymmetrymath.DG

Geometric flow method finds static extensions for axisymmetric data.

problem Bartnik's static metric extension conjecture under axisymmetry.

method Geometric flow coupled with Weyl-Papapetrou formalism.

result Axisymmetric static extensions found for various data.

Bartnik conjecture axisymmetry geometric flow static metric Weyl-Papapetrou

2019-04-24abs ↗pdf ↗

All toric Hermitian ALE gravitational instantonsmath.DG

Proves unique ALE instanton with toric Hermitian structure.

problem Classify Ricci flat ALE instantons with toric Hermitian non-Kähler structure.

method Direct global analysis of Tod form in Weyl-Papapetrou coordinates, avoiding toric Kähler geometry.

result Eguchi-Hanson instanton is the only smooth, Ricci flat, ALE instanton with toric Hermitian non-Kähler structure.

ALE instantons Ricci flat Hermitian structure Tod form Weyl-Papapetrou coordinates

2025-10-10abs ↗pdf ↗

Balancing Static Vacuum Black Holes with Signed Masses in 4 and 5 Dimensionsgr-qc

New black hole solutions with positive and negative masses in 4 and 5 dimensions.

problem Constructing static vacuum black hole solutions with signed masses.

method Axisymmetric and bi-axisymmetric solutions in 4 and 5 dimensions, using Weyl-Papapetrou coordinates.

result Signed mass black holes can be superposed, with specific topologies in 5 dimensions.

black holes signed mass static solutions Weyl-Papapetrou coordinates conical singularities

2021-05-27abs ↗pdf ↗