What happens to Petrov classification on horizons of axisymmetric dirty black holes

  title={What happens to Petrov classification on horizons of axisymmetric dirty black holes},
  author={I. V. Tanatarov and O. B. Zaslavskii},
  journal={Journal of Mathematical Physics},
We consider axisymmetric stationary dirty black holes with regular non-extremal or extremal horizons, and compute their on-horizon Petrov types. The Petrov type (PT) in the frame of the observer crossing the horizon can be different from that formally obtained in the usual (but singular in the horizon limit) frame of an observer on a circular orbit. We call this entity the boosted Petrov type (BPT), as the corresponding frame is obtained by a singular boost from the regular one. The PT off… 
3 Citations

Figures and Tables from this paper

Unified approach to redshift in cosmological/black hole spacetimes and synchronous frame
Usually, interpretation of redshift in static spacetimes (for example, near black holes) is opposed to that in cosmology. In this methodological note we show that both explanations are unified in a
A Complete Bibliography of Publications in the Journal of Mathematical Physics: 2005{2009
(2 < p < 4) [200]. (Uq(∫u(1, 1)), oq1/2(2n)) [92]. 1 [273, 79, 304, 119]. 1 + 1 [252]. 2 [352, 318, 226, 40, 233, 157, 299, 60]. 2× 2 [185]. 3 [456, 363, 58, 18, 351]. ∗ [238]. 2 [277]. 3 [350]. p


Dirty black holes: Symmetries at stationary nonstatic horizons
We establish that the Einstein tensor takes on a highly symmetric form near the Killing horizon of any stationary but non-static (and non-extremal) black hole spacetime. [This follows up on a recent
Dirty rotating black holes: regularity conditions on stationary horizons
We consider generic, or "dirty" (surrounded by matter), stationary rotating black holes with axial symmetry. The restrictions are found on the asymptotic form of metric in the vicinity of
Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
We examine counterparts of the Reissner-Nordstr\"om\char21{}anti\char21{}de Sitter black hole spacetimes in which the two-sphere has been replaced by a surface \ensuremath{\Sigma} of constant
Near-horizon symmetries of extremal black holes
Recent work has demonstrated an attractor mechanism for extremal rotating black holes subject to the assumption of a near-horizon SO(2, 1) symmetry. We prove the existence of this symmetry for any
Curvature tensors on distorted Killing horizons and their algebraic classification
We consider generic static spacetimes with Killing horizons and study properties of curvature tensors in the horizon limit. It is determined that the Weyl, Ricci, Riemann and Einstein tensors are
Symmetries at stationary Killing horizons
It has often been suggested (especially by S. Carlip) that spacetime symmetries in the neighborhood of a black hole horizon may be relevant to a statistical understanding of the Bekenstein–Hawking
Acceleration of particles near the inner black hole horizon
We study the possibility of obtaining unbound energy E_{c.m.} in the centre of mass frame when two particles collide near the inner black hole horizon. We consider two different cases - when both
Kerr/CFT Correspondence
Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM{sup 2}) is considered. It is shown that consistent boundary
Black holes with unusual topology
Einstein's equations with a negative cosmological constant admit solutions which are asymptotically anti\char21{}de Sitter space. Matter fields in anti\char21{}de Sitter space can be in stable
Isolated horizons: Hamiltonian evolution and the first law
A framework was recently introduced to generalize black hole mechanics by replacing stationary event horizons with isolated horizons. That framework is significantly extended. The extension is