Projects per year
Abstract
We consider the inverse problem of determining all extreme black hole solutions to the Einstein equations with a prescribed near-horizon geometry. We investigate this problem by considering infinitesimal deformations of the near-horizon geometry along transverse null geodesics. We show that, up to a gauge transformation, the linearised Einstein equations reduce to an elliptic PDE for the extrinsic curvature of a cross-section of the horizon. We deduce that for a given near-horizon geometry there exists a finite dimensional moduli space of infinitesimal transverse deformations. We then establish a uniqueness theorem for transverse deformations of the extreme Kerr horizon. In particular, we prove that the only smooth axisymmetric transverse deformation of the near-horizon geometry of the extreme Kerr black hole, such that cross-sections of the horizon are marginally trapped surfaces, corresponds to that of the extreme Kerr black hole. Furthermore, we determine all smooth and biaxisymmetric transverse deformations of the near-horizon geometry of the five-dimensional extreme Myers-Perry black hole with equal angular momenta. We find a three parameter family of solutions such that cross-sections of the horizon are marginally trapped, which is more general than the known black hole solutions. We discuss the possibility that they correspond to new five dimensional vacuum black holes.
Original language | English |
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Article number | 075015 |
Number of pages | 34 |
Journal | Classical and quantum gravity |
Volume | 33 |
Issue number | 7 |
DOIs | |
Publication status | Published - 11 Mar 2016 |
Keywords / Materials (for Non-textual outputs)
- gr-qc
- hep-th
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Dive into the research topics of 'Transverse deformations of extreme horizons'. Together they form a unique fingerprint.Projects
- 1 Finished
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Particle Theory at the Higgs Centre
Figueroa-O'Farrill, J. (Principal Investigator), Lucietti, J. (Co-investigator) & Simon Soler, J. (Co-investigator)
1/10/14 → 30/09/18
Project: Research
Profiles
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James Lucietti
- School of Mathematics - Personal Chair of Mathematical Physics
Person: Academic: Research Active