174 research outputs found
Hawking Spectrum and High Frequency Dispersion
We study the spectrum of created particles in two-dimensional black hole
geometries for a linear, hermitian scalar field satisfying a Lorentz
non-invariant field equation with higher spatial derivative terms that are
suppressed by powers of a fundamental momentum scale . The preferred frame
is the ``free-fall frame" of the black hole. This model is a variation of
Unruh's sonic black hole analogy. We find that there are two qualitatively
different types of particle production in this model: a thermal Hawking flux
generated by ``mode conversion" at the black hole horizon, and a non-thermal
spectrum generated via scattering off the background into negative free-fall
frequency modes. This second process has nothing to do with black holes and
does not occur for the ordinary wave equation because such modes do not
propagate outside the horizon with positive Killing frequency. The horizon
component of the radiation is astonishingly close to a perfect thermal
spectrum: for the smoothest metric studied, with Hawking temperature
, agreement is of order at frequency
, and agreement to order persists out to
where the thermal number flux is ). The flux
from scattering dominates at large and becomes many orders of
magnitude larger than the horizon component for metrics with a ``kink", i.e. a
region of high curvature localized on a static worldline outside the horizon.
This non-thermal flux amounts to roughly 10\% of the total luminosity for the
kinkier metrics considered. The flux exhibits oscillations as a function of
frequency which can be explained by interference between the various
contributions to the flux.Comment: 32 pages, plain latex, 16 figures included using psfi
Unitarity of Quantum Theory and Closed Time-Like Curves
Interacting quantum fields on spacetimes containing regions of closed
timelike curves (CTCs) are subject to a non-unitary evolution . Recently, a
prescription has been proposed, which restores unitarity of the evolution by
modifying the inner product on the final Hilbert space. We give a rigorous
description of this proposal and note an operational problem which arises when
one considers the composition of two or more non-unitary evolutions. We propose
an alternative method by which unitarity of the evolution may be regained, by
extending to a unitary evolution on a larger (possibly indefinite) inner
product space. The proposal removes the ambiguity noted by Jacobson in
assigning expectation values to observables localised in regions spacelike
separated from the CTC region. We comment on the physical significance of the
possible indefiniteness of the inner product introduced in our proposal.Comment: 13 pages, LaTeX. Final revised paper to be published in Phys Rev D.
Some changes are made to expand our discussion of Anderson's Proposal for
restoring unitarit
What Attracts Men Who Batter to Their Partners? An Exploratory Study
Men who batter, because of particular personality traits and sense of entitlement,
may select partners whom they perceive will be dependent on them,
meet their emotional needs, or be âobjectsâ of physical attractiveness. During
treatment intake, 181 offenders responded to the question, âWhat attracted
you to her (your partner)?â We explored whether men who mentioned their
own needs or her physical traits would engage in more frequent and severe
violence and would have specific forms of personality disorder dimensions or
personality traits. Six categories of attraction, including âher physical traitsâ
and âhis needs,â were derived from the menâs responses. The results showed
that men who focused on their partnersâ physical attractiveness were more
likely to be violent after treatment. Men who cited their own needs for their
attraction had higher scores on borderline personality, alcohol abuse, and
psychotic thinking and lower scores on compulsive-conformingPeer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/89970/1/Saunders-Kurko-Barlow-Crane 2011 What Attracts Men Who Batter to Their Partners JIV.pd
Modified Gravity via Spontaneous Symmetry Breaking
We construct effective field theories in which gravity is modified via
spontaneous breaking of local Lorentz invariance. This is a gravitational
analogue of the Higgs mechanism. These theories possess additional graviton
modes and modified dispersion relations. They are manifestly well-behaved in
the UV and free of discontinuities of the van Dam-Veltman-Zakharov type,
ensuring compatibility with standard tests of gravity. They may have important
phenomenological effects on large distance scales, offering an alternative to
dark energy. For the case in which the symmetry is broken by a vector field
with the wrong sign mass term, we identify four massless graviton modes (all
with positive-definite norm for a suitable choice of a parameter) and show the
absence of the discontinuity.Comment: 5 pages; revised versio
On the Origin of the Outgoing Black Hole Modes
The question of how to account for the outgoing black hole modes without
drawing upon a transplanckian reservoir at the horizon is addressed. It is
argued that the outgoing modes must arise via conversion from ingoing modes. It
is further argued that the back-reaction must be included to avoid the
conclusion that particle creation cannot occur in a strictly stationary
background. The process of ``mode conversion" is known in plasma physics by
this name and in condensed matter physics as ``Andreev reflection" or ``branch
conversion". It is illustrated here in a linear Lorentz non-invariant model
introduced by Unruh. The role of interactions and a physical short distance
cutoff is then examined in the sonic black hole formed with Helium-II.Comment: 12 pages, plain latex, 2 figures included using psfig; Analogy to
``Andreev reflection" in superfluid systems noted, references and
acknowledgment added, format changed to shorten tex
A Study of Phase Transition in Black Hole Thermodynamics
This paper deals with five-dimensional black hole solutions in (a)
Einstein-Maxwell-Gauss-Bonnet theory with a cosmological constant and
(b)Einstein-Yang-Mills-Gauss-Bonnet theory for spherically symmetric space
time. In both the cases the possibility of phase transition is examined and it
is analyzed whether the phase transition is a Hawking-Page type phase
transition or not.Comment: 16 figure
Entropy of Lovelock Black Holes
A general formula for the entropy of stationary black holes in Lovelock
gravity theories is obtained by integrating the first law of black hole
mechanics, which is derived by Hamiltonian methods. The entropy is not simply
one quarter of the surface area of the horizon, but also includes a sum of
intrinsic curvature invariants integrated over a cross section of the horizon.Comment: 15 pages, plain Latex, NSF-ITP-93-4
Independent biaxial reorganization of the retinotectal projection: A reassessment
It has been previously suggested that the retinotectal projection can reorganize independently along two orthogonal tectal axes. This possibility was reexamined by removing roughly a quarter of the retina and slightly less than a quarter of the tectum. In the tectal case, the unseated fibers arborized rostral to the ablation, but not lateral to it, and the projection shifted irrespective of tectal axes to maintain topographic order and a roughly uniform representation of retinal areas. In the retinal case, expansion into the denervated quadrant was only from the rostral, never from the medial or lateral directions. Analysis of the movements of fiber arbors shows that they respond to local competition for tectal space rather than following tectal axes.Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46548/1/221_2004_Article_BF00237596.pd
Cosmological equations and Thermodynamics on Apparent Horizon in Thick Braneworld
We derive the generalized Friedmann equation governing the cosmological
evolution inside the thick brane model in the presence of two curvature
correction terms: a four-dimensional scalar curvature from induced gravity on
the brane, and a five-dimensional Gauss-Bonnet curvature term. We find two
effective four-dimensional reductions of the Friedmann equation in some limits
and demonstrate that they can be rewritten as the first law of thermodynamics
on the apparent horizon of thick braneworld.Comment: 25 pages, no figure, a definition corrected, several references
added, more motivation and discussio
Slowly rotating charged black holes in anti-de Sitter third order Lovelock gravity
In this paper, we study slowly rotating black hole solutions in Lovelock
gravity (n=3). These exact slowly rotating black hole solutions are obtained in
uncharged and charged cases, respectively. Up to the linear order of the
rotating parameter a, the mass, Hawking temperature and entropy of the
uncharged black holes get no corrections from rotation. In charged case, we
compute magnetic dipole moment and gyromagnetic ratio of the black holes. It is
shown that the gyromagnetic ratio keeps invariant after introducing the
Gauss-Bonnet and third order Lovelock interactions.Comment: 14 pages, no figur
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