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Disforming the Kerr metric

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arxiv 2006.06461 v3 pith:7FO4KZYT submitted 2020-06-11 gr-qc astro-ph.HEhep-th

Timothy Anson , Eugeny Babichev , Christos Charmousis , Mokhtar Hassaine This is my paper
classification gr-qcastro-ph.HEhep-th
keywords kerrfoundlimitmetricscalarsolutioncandidatedisformed
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Starting from a recently constructed stealth Kerr solution of higher order scalar tensor theory involving scalar hair, we analytically construct disformal versions of the Kerr spacetime with a constant degree of disformality and a regular scalar field. While the disformed metric has only a ring singularity and asymptotically is quite similar to Kerr, it is found to be neither Ricci flat nor circular. Non-circularity has far reaching consequences on the structure of the solution. As we approach the rotating compact object from asymptotic infinity we find a static limit ergosurface similar to the Kerr spacetime with an enclosed ergoregion. However, the stationary limit of infalling observers is found to be a timelike hypersurface. A candidate event horizon is found in the interior of this stationary limit surface. It is a null hypersurface generated by a null congruence of light rays which are no longer Killing vectors. Under a mild regularity assumption, we find that the candidate surface is indeed an event horizon and the disformed Kerr metric is therefore a black hole quite distinct from the Kerr solution.

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Cited by 6 Pith papers

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  3. Rotating black holes with primary hair in five-dimensional generalized Proca theory

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  4. Testing non-circular black hole spacetime with X-ray reflection

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    X-ray reflection data for EXO 1846–031 cannot distinguish the non-circular deformation parameter ℓ_NP from zero, remaining consistent with the Kerr hypothesis.

  5. Disformal Kerr Imprints on BHL Accretion: Shock Morphology, PSD Signatures, and Observational QPO Counterparts

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    astro-ph.HE 2026-05 unverdicted novelty 5.0 of 10

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