Slowly rotating black hole solutions to Hořava-Lifshitz gravity

Abstract

We present a new stationary solution to the field equations of Hořava-Lifshitz gravity with the detailed balance condition and for any value of the coupling constant > 1=3. This is the generalization of the corresponding spherically symmetric solution earlier found by Lü, Mei, and Pope to include a small amount of angular momentum. For the relativistic value ¼ 1, the solution describes slowly rotating AdS type black holes. With a soft violation of the detailed balance condition and for ¼ 1, we also find such a generalization for the Schwarzschild type black hole solution of the theory. Finally, using the canonical Hamiltonian approach, we calculate the mass and the angular momentum of these solutions.

Ultra-high-energy collisions of particles in the field of near-extreme Kehagias-Sfetsos naked singularities and their appearance to distant observers

“…The spherically symmetric solution having asymptotically the Schwarzschild character has been found in the framework of the modified Hořava model-the solution is described by the so-called KS metric [23,36,37], which allows for the existence of both black hole and nakedsingularity spacetimes. Slowly rotating black hole solutions of the modified Hořava gravity has been found in [38,39].…”

“…In connection to the accretion phenomena, the KS metric describing black holes has been extensively studied in a series of works related both to the particle motion [38,[40][41][42][43][44][45] and optical phenomena [46][47][48] that can be relevant for tests of validity of the Hořava gravity. The modified Hořava model has been also tested for the properties of the magnetic field near spherical stars [43].…”

Quantum probe of Hořava-Lifshitz gravity

“…Whether in classical general relativity or modified theories, solutions, admitting black holes are always more fascinating and, as a result, attracts more attention. For example, the underlying physics of the KS black hole solutions are extensively studied in terms of geodesics (particle motion) [9][10][11][12][13][14][15]. In addition to aforementioned references, the bending of light and quasinormal modes of KS black hole spacetime is also considered in [16].…”

Perfect fluid tori orbiting Kehagias–Sfetsos naked singularities

“…Therefore there is an obvious interest in studying the K-S naked singularity spacetimes. The K-S black hole spacetimes have been investigated in a series of works on the motion of particles [19][20][21][22][23][24][25] and optical phenomena [26][27][28][29]. Then, as in [30], one could study these objects by analyzing the power spectrum of a simple accretion disk model, a similar analysis should show traces of the presence of the free horizon singularity for geometries with similar dynamical properties of orbiting matter.…”