Axially Symmetric Perturbations of Kerr Black Holes I: A gauge-invariant construction of ADM Energy
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2019
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| _version_ | 1866912483100327936 |
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| author | Gudapati, Nishanth |
| author_facet | Gudapati, Nishanth |
| contents | Based on the Hamiltonian dimensional reduction of $3+1$ axially symmetric, Ricci-flat Lorentzian spacetimes to a $2+1$ Einstein-wave map system with the (negatively curved) hyperbolic 2-plane target, we construct a positive-definite, (spacetime) gauge-invariant energy functional for linear axially symmetric perturbations in the exterior of Kerr black holes, in a manner that is also gauge-independent on the target manifold. We also show that the positive-definite energy functional serves as a Hamiltonian for the constrained evolution of the linear perturbations |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1904_09670 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Axially Symmetric Perturbations of Kerr Black Holes I: A gauge-invariant construction of ADM Energy Gudapati, Nishanth General Relativity and Quantum Cosmology Differential Geometry Based on the Hamiltonian dimensional reduction of $3+1$ axially symmetric, Ricci-flat Lorentzian spacetimes to a $2+1$ Einstein-wave map system with the (negatively curved) hyperbolic 2-plane target, we construct a positive-definite, (spacetime) gauge-invariant energy functional for linear axially symmetric perturbations in the exterior of Kerr black holes, in a manner that is also gauge-independent on the target manifold. We also show that the positive-definite energy functional serves as a Hamiltonian for the constrained evolution of the linear perturbations |
| title | Axially Symmetric Perturbations of Kerr Black Holes I: A gauge-invariant construction of ADM Energy |
| topic | General Relativity and Quantum Cosmology Differential Geometry |
| url | https://arxiv.org/abs/1904.09670 |