A Note on the Dimensional Reduction of Axisymmetric Spacetimes

Nishanth Gudapati

A Note on the Dimensional Reduction of Axisymmetric Spacetimes

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arxiv 1702.07950 v1 pith:3FDPOLIZ submitted 2017-02-25 math.AP

Nishanth Gudapati This is my paper · ORCID

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keywords dimensionalaxisymmetricdivergesreductionsystemasymptoticallyconsequencesdiscuss

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We investigate the dimensional reduction of 3+1 vacuum axisymmetric Einstein's equations to 2+1 dimensional Einstein-wave map system and observe that the resulting system is 1) not asymptotically flat, 2) its geometric-mass diverges and 3) the energy of wave map also diverges. Subsequently, we discuss the consequences of these issues.

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On Axially Symmetric Perturbations of Kerr Black Hole Spacetimes
gr-qc 2025-07 conditional novelty 4.0 of 10

For subextremal Kerr spacetimes, the paper constructs a positive-definite, conserved Hamiltonian energy for axially symmetric linear perturbations, indicating a form of linear stability within this symmetry class.

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