259 research outputs found
Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity
We give the full list of types of static (homogeneous)solutions within a wide
family of exactly solvable 2D dilaton gravities with backreaction of conformal
fields. It includes previously known solutions as particular cases. Several
concrete examples are considered for illustration. They contain a black hole
and cosmological horizon in thermal equilibrium, extremal and ultraextremal
horizons, etc. In particular, we demonstrate that adS and dS geometries can be
\QTR{it}{exact} solutions of semiclassical field equations for a
\QTR{it}{nonconstant} dilaton field.Comment: 19 pages. To appear in Int. J. Mod. Phys.
Kinematics of ultra-high energy particle collisions near black holes in the magnetic field
There are different versions of collisions of two particles near black holes
with unbound energy in the centre of mass frame. The so-called BSW
effect arises when a slow fine-tuned "critical" particle hits a rapid "usual"
one. We discuss a scenario of collision in the strong magnetic field for which
explanation tuns out to be different. Both particles are rapid but the nonzero
angle between their velocities (which are both close to , the speed of
light) results in a relative velocity close to and, hence, big $% E_{c.m.}Comment: 8 pages. Final versio
Ultra-high energy collisions in static space-times: single versus multi-black hole cases
We consider collision of two particles near static electrically charged
extremal black holes and elucidate the conditions under which the energy in the
centre of mass frame E_{c.m.} grows unbounded. For a single black hole, we
generalize the results obtained earlier for the Reissner-Nordstr\"om metric, to
distorted black holes. In the multi-black hole space-time, qualitatively new
features appear. If the point of collision is close to at least two horizons
simultaneously, unbounded E_{c.m.} are possible (i) without fine-tuning of
particles' parameters, (ii) for an arbitrary mutual orientation of two
velocities. Such a combination of properties (i) and (ii) has no analogues in
the single black hole case and facilitates the condition of getting unbounded
E_{c.m.}. Collisions in the electro-vacuum Majumdar-Papapetrou metric (several
extremal black holes in equilibrium) is analyzed explicitly.Comment: 18 pages. Essentially expanded, presentation improved. To appear in
GR
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