Kerr-Schild Structure and Harmonic 2-forms on (A)dS-Kerr-NUT Metrics
arXiv:0705.4471 · doi:10.1016/j.physletb.2007.09.066
Abstract
We demonstrate that the general (A)dS-Kerr-NUT solutions in D dimensions with ([D/2], [(D+1)/2]) signature admit [D/2] linearly-independent, mutually-orthogonal and affinely-parameterised null geodesic congruences. This enables us to write the metrics in a multi-Kerr-Schild form, where the mass and all of the NUT parameters enter the metrics linearly. In the case of D=2n, we also obtain n harmonic 2-forms, which can be viewed as charged (A)dS-Kerr-NUT solution at the linear level of small-charge expansion, for the higher-dimensional Einstein-Maxwell theories. In the BPS limit, these 2-forms reduce to n-1 linearly-independent ones, whilst the resulting Calabi-Yau metric acquires a Kahler 2-form, leaving the total number the same.
Latex, 11 pages, references added
References in corpus (12)
- The General Kerr-de Sitter Metrics in All Dimensions
- New Einstein-Sasaki Spaces in Five and Higher Dimensions
- Classification of the Weyl Tensor in Higher Dimensions
- General Kerr-NUT-AdS Metrics in All Dimensions
- Separability of Hamilton-Jacobi and Klein-Gordon Equations in General Kerr-NUT-AdS Spacetimes
- Killing-Yano Tensors, Rank-2 Killing Tensors, and Conserved Quantities in Higher Dimensions
- Rotating Black Holes in Higher Dimensional Einstein-Maxwell Gravity
- Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
- Kerr-NUT-de Sitter Curvature in All Dimensions
- A Slowly Rotating Charged Black Hole in Five Dimensions
- Explicit Toric Metric on Resolved Calabi-Yau Cone
- Resolutions of Cones over Einstein-Sasaki Spaces
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- Kerr-Schild spacetimes with (A)dS background
- Note on Rotating Charged Black Holes in Einstein-Maxwell-Chern-Simons Theory
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- General Rotating Charged Kaluza-Klein AdS Black Holes in Higher Dimensions
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- Charged Rotating AdS Black Hole and Its Thermodynamics in Conformal Gravity
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- Generating exact solutions to Einstein's equation using linearized approximations
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- Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
- Stationary Strings in the Spacetime of Rotating Black Holes in Five-Dimensional Minimal Gauged Supergravity
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- Exact Solutions of General Relativity and Quadratic Gravity in Arbitrary Dimension
- Approach of background metric expansion to a new metric ansatz for gauged and ungauged Kaluza-Klein supergravity black holes
- On the uniqueness of the Kerr-(A)dS metric as a type II(D) solution in six dimensions
- On type II(D) Einstein spacetimes in six dimensions
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