Slowly rotating black holes in Einstein-æther theory

Barausse, Enrico; Sotiriou, Thomas P.; Vega, Ian

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 c ω →∞ limit.

Citation

Barausse, E., Sotiriou, T. P., & Vega, I. (2016). Slowly rotating black holes in Einstein-æther theory. Physical Review D, 93(4), Article 44044. https://doi.org/10.1103/PhysRevD.93.044044

• Journal Article Type: Article
• Acceptance Date: Dec 31, 2015
• Publication Date: Feb 16, 2016
• Deposit Date: Dec 21, 2016
• Publicly Available Date: Dec 21, 2016
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 93
• Issue: 4
• Article Number: 44044
• DOI: https://doi.org/10.1103/PhysRevD.93.044044
• Public URL: https://nottingham-repository.worktribe.com/output/776155
• Publisher URL: http://dx.doi.org/10.1103/PhysRevD.93.044044
• Additional Information: ©2016 American Physical Society