2,497 research outputs found
Black Hole Entropy is Noether Charge
We consider a general, classical theory of gravity in dimensions, arising
from a diffeomorphism invariant Lagrangian. In any such theory, to each vector
field, , on spacetime one can associate a local symmetry and, hence, a
Noether current -form, , and (for solutions to the field
equations) a Noether charge -form, . Assuming only that the
theory admits stationary black hole solutions with a bifurcate Killing horizon,
and that the canonical mass and angular momentum of solutions are well defined
at infinity, we show that the first law of black hole mechanics always holds
for perturbations to nearby stationary black hole solutions. The quantity
playing the role of black hole entropy in this formula is simply times
the integral over of the Noether charge -form associated with
the horizon Killing field, normalized so as to have unit surface gravity.
Furthermore, we show that this black hole entropy always is given by a local
geometrical expression on the horizon of the black hole. We thereby obtain a
natural candidate for the entropy of a dynamical black hole in a general theory
of gravity. Our results show that the validity of the ``second law" of black
hole mechanics in dynamical evolution from an initially stationary black hole
to a final stationary state is equivalent to the positivity of a total Noether
flux, and thus may be intimately related to the positive energy properties of
the theory. The relationship between the derivation of our formula for black
hole entropy and the derivation via ``Euclidean methods" also is explained.Comment: 16 pages, EFI 93-4
Symmetries, Horizons, and Black Hole Entropy
Black holes behave as thermodynamic systems, and a central task of any
quantum theory of gravity is to explain these thermal properties. A statistical
mechanical description of black hole entropy once seemed remote, but today we
suffer an embarrassment of riches: despite counting very different states, many
inequivalent approaches to quantum gravity obtain identical results. Such
``universality'' may reflect an underlying two-dimensional conformal symmetry
near the horizon, which can be powerful enough to control the thermal
characteristics independent of other details of the theory. This picture
suggests an elegant description of the relevant degrees of freedom as
Goldstone-boson-like excitations arising from symmetry breaking by the
conformal anomaly.Comment: 6 pages; first prize essay, 2007 Gravity Research Foundation essay
contes
Effects of Meson Mass Reduction on the Properties of Neutron Star Matter
We investigate the effects of meson-mass reduction on the properties of the
neutron star matter. We adopt the Brown-Rho scaling law to take into account
density dependence of meson masses in the quantum hadrodynamics, quark-meson
coupling and modified quark-meson coupling models. It is found that the
equation of state becomes stiff when the mass of meson is reduced in dense
medium. We discuss its implication on the properties of the neutron star.Comment: 3 pages, 2 figures and 10 references. Use espcrc1.sty. Appeared in
the proceedings of the 7th international symposium on Nuclei in the Cosmos,
Fuji-Yoshida, Japan, July 8-12, 200
The Impact of New EUV Diagnostics on CME-Related Kinematics
We present the application of novel diagnostics to the spectroscopic
observation of a Coronal Mass Ejection (CME) on disk by the Extreme Ultraviolet
Imaging Spectrometer (EIS) on the Hinode spacecraft. We apply a recently
developed line profile asymmetry analysis to the spectroscopic observation of
NOAA AR 10930 on 14-15 December 2006 to three raster observations before and
during the eruption of a 1000km/s CME. We see the impact that the observer's
line-of-sight and magnetic field geometry have on the diagnostics used.
Further, and more importantly, we identify the on-disk signature of a
high-speed outflow behind the CME in the dimming region arising as a result of
the eruption. Supported by recent coronal observations of the STEREO
spacecraft, we speculate about the momentum flux resulting from this outflow as
a secondary momentum source to the CME. The results presented highlight the
importance of spectroscopic measurements in relation to CME kinematics, and the
need for full-disk synoptic spectroscopic observations of the coronal and
chromospheric plasmas to capture the signature of such explosive energy release
as a way of providing better constraints of CME propagation times to L1, or any
other point of interest in the heliosphere.Comment: Accepted to appear in Solar Physics Topical Issue titled "Remote
Sensing of the Inner Heliosphere". Manuscript has 14 pages, 5 color figures.
Movies supporting the figures can be found in
http://download.hao.ucar.edu/pub/mscott/papers/Weathe
Duality of Quasilocal Gravitational Energy and Charges with Non-orthogonal Boundaries
We study the duality of quasilocal energy and charges with non-orthogonal
boundaries in the (2+1)-dimensional low-energy string theory. Quasilocal
quantities shown in the previous work and some new variables arisen from
considering the non-orthogonal boundaries as well are presented, and the boost
relations between those quantities are discussed. Moreover, we show that the
dual properties of quasilocal variables such as quasilocal energy density,
momentum densities, surface stress densities, dilaton pressure densities, and
Neuve-Schwarz(NS) charge density, are still valid in the moving observer's
frame.Comment: 19pages, 1figure, RevTe
Thermodynamics of a Kerr Newman de Sitter Black Hole
We compute the conserved quantities of the four-dimensional Kerr-Newman-dS
(KNdS) black hole through the use of the counterterm renormalization method,
and obtain a generalized Smarr formula for the mass as a function of the
entropy, the angular momentum and the electric charge. The first law of
thermodynamics associated to the cosmological horizon of KNdS is also
investigated. Using the minimal number of intrinsic boundary counterterms, we
consider the quasilocal thermodynamics of asymptotic de Sitter
Reissner-Nordstrom black hole, and find that the temperature is equal to the
product of the surface gravity (divided by ) and the Tolman redshift
factor. We also perform a quasilocal stability analysis by computing the
determinant of Hessian matrix of the energy with respect to its thermodynamic
variables in both the canonical and the grand-canonical ensembles and obtain a
complete set of phase diagrams. We then turn to the quasilocal thermodynamics
of four-dimensional Kerr-Newman-de Sitter black hole for virtually all possible
values of the mass, the rotation and the charge parameters that leave the
quasilocal boundary inside the cosmological event horizon, and perform a
quasilocal stability analysis of KNdS black hole.Comment: REVTEX4, 12 pages, 12 figures, references added and some points in
Sec II have been clarified, version to appear in Can. J. Phy
Sexual offendersâ parental and adult attachments and preferences for therapistsâ interpersonal qualities
This study explored sex offenders' parental and adult attachment difficulties and assessed the extent to which these were associated with preferences for therapists' interpersonal qualities. One-hundred and twelve adult male child sexual offenders were invited to provide self-report data on their attachment histories, adult attachments and preferences for therapists' interpersonal qualities. A weak relationship between childhood and adulthood secure attachment was found, suggesting that attachment at the time of offending may be more relevant than childhood attachment to the aetiology of sexual offending. Participants valued a range of therapists' qualities previously identified as important for positive treatment change. Therapist trust and genuineness were perceived as particularly important by those with attachment difficulties, demonstrating the need for these qualities in offender programmes where attachment difficulties would be expected. There were some differences in the preferences for therapists' qualities between participants with different adult attachment types, highlighting the importance of responsivity factors in treatment. © 2015 Taylor & Franci
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
TASI Lectures on the Cosmological Constant
The energy density of the vacuum, Lambda, is at least 60 orders of magnitude
smaller than several known contributions to it. Approaches to this problem are
tightly constrained by data ranging from elementary observations to precision
experiments. Absent overwhelming evidence to the contrary, dark energy can only
be interpreted as vacuum energy, so the venerable assumption that Lambda=0
conflicts with observation. The possibility remains that Lambda is
fundamentally variable, though constant over large spacetime regions. This can
explain the observed value, but only in a theory satisfying a number of
restrictive kinematic and dynamical conditions. String theory offers a concrete
realization through its landscape of metastable vacua.Comment: 39 pages, 3 figure
Averaged Energy Conditions and Quantum Inequalities
Connections are uncovered between the averaged weak (AWEC) and averaged null
(ANEC) energy conditions, and quantum inequality restrictions on negative
energy for free massless scalar fields. In a two-dimensional compactified
Minkowski universe, we derive a covariant quantum inequality-type bound on the
difference of the expectation values of the energy density in an arbitrary
quantum state and in the Casimir vacuum state. From this bound, it is shown
that the difference of expectation values also obeys AWEC and ANEC-type
integral conditions. In contrast, it is well-known that the stress tensor in
the Casimir vacuum state alone satisfies neither quantum inequalities nor
averaged energy conditions. Such difference inequalities represent limits on
the degree of energy condition violation that is allowed over and above any
violation due to negative energy densities in a background vacuum state. In our
simple two-dimensional model, they provide physically interesting examples of
new constraints on negative energy which hold even when the usual AWEC, ANEC,
and quantum inequality restrictions fail. In the limit when the size of the
space is allowed to go to infinity, we derive quantum inequalities for timelike
and null geodesics which, in appropriate limits, reduce to AWEC and ANEC in
ordinary two-dimensional Minkowski spacetime. We also derive a quantum
inequality bound on the energy density seen by an inertial observer in
four-dimensional Minkowski spacetime. The bound implies that any inertial
observer in flat spacetime cannot see an arbitrarily large negative energy
density which lasts for an arbitrarily long period of time.Comment: 20pp, plain LATEX, TUTP-94-1
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