2,405 research outputs found
The double-Kerr equilibrium configurations involving one extreme object
We demonstrate the existence of equilibrium states in the limiting cases of
the double-Kerr solution when one of the constituents is an extreme object. In
the `extreme-subextreme' case the negative mass of one of the constituents is
required for the balance, whereas in the `extreme-superextreme' equilibrium
configurations both Kerr particles may have positive masses. We also show that
the well-known relation |J|=M^2 between the mass and angular momentum in the
extreme single Kerr solution ceases to be a characteristic property of the
extreme Kerr particle in a binary system.Comment: 12 pages, 3 figures, submitted to Class. Quantum Gra
Black hole-naked singularity dualism and the repulsion of two Kerr black holes due to spin-spin interaction
We report about the possibility for interacting Kerr sources to exist in two
different states - black holes or naked singularities - both states
characterized by the same masses and angular momenta. Another surprising
discovery reported by us is that in spite of the absence of balance between two
Kerr black holes, the latter nevertheless can repel each other, which provides
a good opportunity for experimental detection of the spin-spin repulsive force
through the observation of astrophysical black-hole binaries.Comment: 5 pages, 2 figures: a misprint in formula (3) rectified; published
versio
On electromagnetic energy in Bardeen and ABG spacetimes
We demonstrate that the total energy of electromagnetic field in the Bardeen
and Ay\'on-Beato-Garc\'ia singularity-free models is equal to the mass
parameter , being therefore independent of the charge parameter . Our
result is fully congruent with the original idea of Born and Infeld to use
nonlinear electrodynamics for proving the electromagnetic nature of mass.Comment: 10 pages, 3 figure
Cosmological dynamics in tomographic probability representation
The probability representation for quantum states of the universe in which
the states are described by a fair probability distribution instead of wave
function (or density matrix) is developed to consider cosmological dynamics.
The evolution of the universe state is described by standard positive
transition probability (tomographic transition probability) instead of the
complex transition probability amplitude (Feynman path integral) of the
standard approach. The latter one is expressed in terms of the tomographic
transition probability. Examples of minisuperspaces in the framework of the
suggested approach are presented. Possibility of observational applications of
the universe tomographs are discussed.Comment: 16 page
Tomographic entropy and cosmology
The probability representation of quantum mechanics including propagators and
tomograms of quantum states of the universe and its application to quantum
gravity and cosmology are reviewed. The minisuperspaces modeled by oscillator,
free pointlike particle and repulsive oscillator are considered. The notion of
tomographic entropy and its properties are used to find some inequalities for
the tomographic probability determining the quantum state of the universe. The
sense of the inequality as a lower bound for the entropy is clarified.Comment: 19 page
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