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Slowly rotating black holes in Einstein-æther theory

Abstract : We study slowly rotating, asymptotically flat black holes in Einstein-æther theory and show that solutions that are free from naked finite area singularities form a two-parameter family. These parameters can be thought of as the mass and angular momentum of the black hole, while there are no independent æ ther charges. We also show that the æ ther has nonvanishing vorticity throughout the spacetime, as a result of which there is no hypersurface that resembles the universal horizon found in static, spherically symmetric solutions. Moreover, for experimentally viable choices of the coupling constants, the frame-dragging potential of our solutions only shows percent-level deviations from the corresponding quantities in General Relativity and Hořava gravity. Finally, we uncover and discuss several subtleties in the correspondence between Einstein-æther theory and Hořava gravity solutions in the cω→∞ limit.
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Submitted on : Monday, May 23, 2022 - 4:49:10 PM
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Enrico Barausse, Thomas P. Sotiriou, Ian Vega. Slowly rotating black holes in Einstein-æther theory. Physical Review D, 2016, 93, ⟨10.1103/PhysRevD.93.044044⟩. ⟨hal-03645205⟩



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