147 research outputs found
Modified dispersion relations and black hole physics
A modified formulation of energy-momentum relation is proposed in the context
of doubly special relativity. We investigate its impact on black hole physics.
It turns out that such modification will give corrections to both the
temperature and the entropy of black holes. In particular this modified
dispersion relation also changes the picture of Hawking radiation greatly when
the size of black holes approaching the Planck scale. It can prevent black
holes from total evaporation, as a result providing a plausible mechanism to
treat the remnant of black holes as a candidate for dark matter.Comment: 4 pages, Revtex. Final version to appear in PR
Equilibrium configurations of two charged masses in General Relativity
An asymptotically flat static solution of Einstein-Maxwell equations which
describes the field of two non-extreme Reissner - Nordstr\"om sources in
equilibrium is presented. It is expressed in terms of physical parameters of
the sources (their masses, charges and separating distance). Very simple
analytical forms were found for the solution as well as for the equilibrium
condition which guarantees the absence of any struts on the symmetry axis. This
condition shows that the equilibrium is not possible for two black holes or for
two naked singularities. However, in the case when one of the sources is a
black hole and another one is a naked singularity, the equilibrium is possible
at some distance separating the sources. It is interesting that for
appropriately chosen parameters even a Schwarzschild black hole together with a
naked singularity can be "suspended" freely in the superposition of their
fields.Comment: 4 pages; accepted for publication in Phys. Rev.
The structure of black hole magnetospheres. I. Schwarzschild black holes
We introduce a multipolar scheme for describing the structure of stationary,
axisymmetric, force-free black-hole magnetospheres in the ``3+1'' formalism. We
focus here on Schwarzschild spacetime, giving a complete classification of the
separable solutions of the stream equation. We show a transparent term-by-term
analogy of our solutions with the familiar multipoles of flat-space
electrodynamics. We discuss electrodynamic processes around disk-fed black
holes in which our solutions find natural applications: (a) ``interior''
solutions in studies of the Blandford-Znajek process of extracting the hole's
rotational energy, and of the formation of relativistic jets in active galactic
nuclei and ``microquasars'', and, (b) ``exterior'' solutions in studies of
accretion disk dynamos, disk-driven winds and jets. On the strength of existing
numerical studies, we argue that the poloidal field structures found here are
also expected to hold with good accuracy for rotating black holes, except for
maximum possible rotation rates. We show that the closed-loop exterior
solutions found here are not in contradiction with the Macdonald-Thorne
theorem, since these solutions, which diverge logarithmically on the hole's
horizon , apply only to those regions which exclude .Comment: 6 figures. Accepted for publication by MNRA
Black holes in which the electrostatic or scalar equation is solvable in closed form
We show that the method used in the Schwarzschild black hole for finding the
elementary solution of the electrostatic equation in closed form cannot extend
in higher dimensions. By contrast, we prove the existence of static,
spherically symmetric geometries with a non-degenerated horizon in which the
static scalar equation can be solved in closed form. We give the explicit
results in 6 dimensions. We determine moreover the expressions of the
electrostatic potential and of the static scalar field for a point source in
the extremal Reissner-Nordstrom black holes in higher dimensions.Comment: 20 pages, no figur
Energy dissipation in wave propagation in general relativistic plasma
Based on a recent communication by the present authors the question of energy
dissipation in magneto hydrodynamical waves in an inflating background in
general relativity is examined. It is found that the expanding background
introduces a sort of dragging force on the propagating wave such that unlike
the Newtonnian case energy gets dissipated as it progresses. This loss in
energy having no special relativistic analogue is, however, not mechanical in
nature as in elastic wave. It is also found that the energy loss is model
dependent and also depends on the number of dimensions.Comment: 12 page
An Action for Black Hole Membranes
The membrane paradigm is the remarkable view that, to an external observer, a
black hole appears to behave exactly like a dynamical fluid membrane, obeying
such pre-relativistic equations as Ohm's law and the Navier-Stokes equation. It
has traditionally been derived by manipulating the equations of motion. Here we
provide an action formulation of this picture, clarifying what underlies the
paradigm, and simplifying the derivations. Within this framework, we derive
previous membrane results, and extend them to dyonic black hole solutions. We
discuss how it is that an action can produce dissipative equations. Using a
Euclidean path integral, we show that familiar semi-classical thermodynamic
properties of black holes also emerge from the membrane action. Finally, in a
Hamiltonian description, we establish the validity of a minimum entropy
production principle for black holes.Comment: LaTeX, 30 Pages, minor editorial change
Region of magnetic dominance near a rotating black hole
This is a brief contribution in which a simplified criterion of the relevance
of the test-particle approximation describing motion of material near a
magnetized black hole is discussed. Application to processes of the dissipative
collimation of astronomical jets (as proposed by de Felice and Curir, 1992) is
mentioned.Comment: 11 pages, to appear in General Relativity and Gravitation, also
available (with additional illustrations) at
http://otokar.troja.mff.cuni.cz/user/karas/au_www/karas/papers.ht
Scalar field and electromagnetic perturbations on Locally Rotationally Symmetric spacetimes
We study scalar field and electromagnetic perturbations on Locally
Rotationally Symmetric (LRS) class II spacetimes, exploiting a recently
developed covariant and gauge-invariant perturbation formalism. From the
Klein-Gordon equation and Maxwell's equations, respectively, we derive
covariant and gauge-invariant wave equations for the perturbation variables and
thereby find the generalised Regge-Wheeler equations for these LRS class II
spacetime perturbations. As illustrative examples, the results are discussed in
detail for the Schwarzschild and Vaidya spacetime, and briefly for some classes
of dust Universes.Comment: 22 pages; v3 has minor changes to match published versio
Znajek-Damour Horizon Boundary Conditions with Born-Infeld Electrodynamics
In this work, the interaction of electromagnetic fields with a rotating
(Kerr) black hole is explored in the context of Born-Infeld (BI) theory of
electromagnetism instead of standard Maxwell theory and particularly BI theory
versions of the four horizon boundary conditions of Znajek and Damour are
derived. Naturally, an issue to be addressed is then whether they would change
from the ones given in Maxwell theory context and if they would, how.
Interestingly enough, as long as one employs the same local null tetrad frame
as the one adopted in the works by Damour and by Znajek to read out physical
values of electromagnetic fields and fictitious surface charge and currents on
the horizon, it turns out that one ends up with exactly the same four horizon
boundary conditions despite the shift of the electrodynamics theory from a
linear Maxwell one to a highly non-linear BI one. Close inspection reveals that
this curious and unexpected result can be attributed to the fact that the
concrete structure of BI equations happens to be such that it is
indistinguishable at the horizon to a local observer, say, in Damour's local
tetrad frame from that of standard Maxwell theory.Comment: 38 pages, Revtex, typos corrected, accepted for publication in Phys.
Rev.
Thermal Control of Spin Excitations in the Coupled Ising-Chain Material RbCoCl<sub>3</sub>
We have used neutron spectroscopy to investigate the spin dynamics of the quantum (S = 1/2) antiferromagnetic Ising chains in RbCoCl3. The structure and magnetic interactions in this material conspire to produce two magnetic phase transitions at low temperatures, presenting an ideal opportunity for thermal control of the chain environment. The high-resolution spectra we measure of two-domain-wall excitations therefore characterize precisely both the continuum response of isolated chains and the "Zeeman-ladder" bound states of chains in three different effective staggered fields in one and the same material. We apply an extended Matsubara formalism to obtain a quantitative description of the entire dataset, Monte Carlo simulations to interpret the magnetic order, and finite-temperature density-matrix renormalization-group calculations to fit the spectral features of all three phases
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