3,688 research outputs found
Statistical Mechanics of Charged Black Holes in Induced Einstein-Maxwell Gravity
The statistical origin of the entropy of charged black holes in models of
induced Einstein-Maxwell gravity is investigated. The constituents inducing the
Einstein-Maxwell action are charged and interact with an external gauge
potential. This new feature, however, does not change divergences of the
statistical-mechanical entropy of the constituents near the horizon. It is
demonstrated that the mechanism of generation of the Bekenstein-Hawking entropy
in induced gravity is universal and it is basically the same for charged and
neutral black holes. The concrete computations are carried out for induced
Einstein-Maxwell gravity with a negative cosmological constant in three
space-time dimensions.Comment: 16 pages, latex, no figure
Applications of hidden symmetries to black hole physics
This work is a brief review of applications of hidden symmetries to black
hole physics. Symmetry is one of the most important concepts of the science. In
physics and mathematics the symmetry allows one to simplify a problem, and
often to make it solvable. According to the Noether theorem symmetries are
responsible for conservation laws. Besides evident (explicit) spacetime
symmetries, responsible for conservation of energy, momentum, and angular
momentum of a system, there also exist what is called hidden symmetries, which
are connected with higher order in momentum integrals of motion. A remarkable
fact is that black holes in four and higher dimensions always possess a set
(`tower') of explicit and hidden symmetries which make the equations of motion
of particles and light completely integrable. The paper gives a general review
of the recently obtained results. The main focus is on understanding why at all
black holes have something (symmetry) to hide.Comment: This is an extended version of the talks at NEB-14 conference
(June,Ioannina,Greece) and JGRG20 meeting (September, Kyoto, Japan
Thorny Spheres and Black Holes with Strings
We consider thorny spheres, that is 2-dimensional compact surfaces which are
everywhere locally isometric to a round sphere except for a finite number
of isolated points where they have conical singularities. We use thorny spheres
to generate, from a spherically symmetric solution of the Einstein equations,
new solutions which describe spacetimes pierced by an arbitrary number of
infinitely thin cosmic strings radially directed. Each string produces an angle
deficit proportional to its tension, while the metric outside the strings is a
locally spherically symmetric solution. We prove that there can be arbitrary
configurations of strings provided that the directions of the strings obey a
certain equilibrium condition. In general this equilibrium condition can be
written as a force-balance equation for string forces defined in a flat 3-space
in which the thorny sphere is isometrically embedded, or as a constraint on the
product of holonomies around strings in an alternative 3-space that is flat
except for the strings. In the case of small string tensions, the constraint
equation has the form of a linear relation between unit vectors directed along
the string axes.Comment: 37 pages, 11 figure
Weakly magnetized black holes as particle accelerators
We study collision of particles in the vicinity of a horizon of a weakly
magnetized non-rotating black hole. In the presence of the magnetic field
innermost stable circular orbits (ISCO) of charged particles can be located
close to the horizon. We demonstrate that for a collision of two particles, one
of which is charged and revolving at ISCO and the other is neutral and falling
from infinity, the maximal collision energy can be high in the limit of strong
magnetic field. This effect has some similarity with the recently discussed
effect of high center-of-mass energy for collision of particles in extremely
rotating black holes. We also demonstrate that for `realistic' astrophysical
black holes their ability to play the role of `accelerators' is in fact quite
restricted.Comment: 7 pages, 5 figure
On the bound state of the antiproton-deuterium-tritium ion
The properties of the weakly-bound state in the ion
are investigated with the use of the results of highly accurate computations.
The hyperfine structure splitting of this ion is investigated. We also evaluate
the life-time of the ion against the nuclear fusion and
discuss a possibility to evaluate the corresponding annihilation rate(s)
`Thermodynamics' of Minimal Surfaces and Entropic Origin of Gravity
Deformations of minimal surfaces lying in constant time slices in static
space-times are studied. An exact and universal formula for a change of the
area of a minimal surface under shifts of nearby point-like particles is found.
It allows one to introduce a local temperature on the surface and represent
variations of its area in a thermodynamical form by assuming that the entropy
in the Planck units equals the quarter of the area. These results provide a
strong support to a recent hypothesis that gravity has an entropic origin, the
minimal surfaces being a sort of holographic screens. The gravitational entropy
also acquires a definite physical meaning related to quantum entanglement of
fundamental degrees of freedom across the screen.Comment: 12 pages, 1 figur
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