Black hole horizons at the extremal limit in Lorentz-violating gravity

Franchini, Nicola; Saravani, Mehdi; Sotiriou, Thomas P.

Abstract

Lorentz-violating gravity theories with a preferred foliation can have instantaneous propagation. Nonetheless, it has been shown that black holes can still exist in such theories and the relevant notion of an event horizon has been dubbed “universal horizon.” In stationary spacetimes the universal horizon has to reside in a region of spacetime where the Killing vector associated with stationarity is spacelike. This raises the question of what happens to the universal horizon in the extremal limit, where no such region exists anymore. We use a decoupling limit approximation to study this problem. Our results suggest that at the extremal limit, the extremal Killing horizon appears to play the role of a degenerate universal horizon, despite being a null and not a spacelike surface, and hence not a leaf of the preferred foliation.

Citation

Franchini, N., Saravani, M., & Sotiriou, T. P. (2017). Black hole horizons at the extremal limit in Lorentz-violating gravity. Physical Review D, 96(10), Article 104044. https://doi.org/10.1103/PhysRevD.96.104044

• Journal Article Type: Article
• Acceptance Date: Nov 6, 2017
• Publication Date: Nov 28, 2017
• Deposit Date: Dec 13, 2017
• Publicly Available Date: Dec 13, 2017
• Journal: Physical Review D
• Print ISSN: 2470-0010
• Electronic ISSN: 2470-0029
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 96
• Issue: 10
• Article Number: 104044
• DOI: https://doi.org/10.1103/PhysRevD.96.104044
• Public URL: https://nottingham-repository.worktribe.com/output/896846
• Publisher URL: https://journals.aps.org/prd/abstract/10.1103/PhysRevD.96.104044
• Contract Date: Dec 13, 2017