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A Conserved Energy for Axially Symmetric Newman-Penrose-Maxwell Scalars on Kerr Black Holes

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arxiv 1806.09162 v1 pith:XYDZMGJK submitted 2018-06-24 gr-qc math-phmath.MP

Nishanth Gudapati This is my paper · ORCID
classification gr-qcmath-phmath.MP
keywords axiallyblackconservedenergyfamilyholeshypersurfaceskerr
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We show that there exists a 1-parameter family of positive-definite and conserved energy functionals for axially symmetric Newman-Penrose-Maxwell scalars on the maximal spacelike hypersurfaces in the exterior of Kerr black holes. It is also shown that the Poisson bracket within this 1-parameter family of energies vanishes on the maximal hypersurfaces.

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Cited by 1 Pith paper

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  1. 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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