16,671 research outputs found
Lookback time bounds from energy conditions
In general relativity, the energy conditions are invoked to restrict general
energy-momentum tensors on physical grounds. We show that in the standard
Friedmann-Lemaitre-Robertson-Walker (FLRW) approach to cosmological modeling,
where the energy and matter components of the cosmic fluid are unknown, the
energy conditions provide model-independent bounds on the behavior of the
lookback time of cosmic sources as a function of the redshift for any value of
the spatial curvature. We also confront such bounds with a lookback time sample
which is built from the age estimates of 32 galaxies lying in the interval
and by assuming the total expanding age of the
Universe to be Gyr, as obtained from current cosmic microwave
background experiments. In agreement with previous results, we show that all
energy conditions seem to have been violated at some point of the recent past
of cosmic evolution.Comment: 7 pages, 3 figures. v2: Minor changes, published in Phys.Rev.D in the
present for
Energy Conditions and Cosmic Acceleration
In general relativity, the energy conditions are invoked to restrict general
energy-momentum tensors in different frameworks, and to derive
general results that hold in a variety of general contexts on physical grounds.
We show that in the standard Friedmann-Lemaitre-Robertson-Walker (FLRW)
approach, where the equation of state of the cosmological fluid is unknown, the
energy conditions provide model-independent bounds on the behavior of the
distance modulus of cosmic sources as a function of the redshift for any
spatial curvature. We use the most recent type Ia supernovae (SNe Ia)
observations, which include the new Hubble Space Telescope SNe Ia events, to
carry out a model-independent analysis of the energy conditions violation in
the context of the standard cosmology. We show that both the null (NEC), weak
(WEC) and dominant (DEC) conditions, which are associated with the existence of
the so-called phantom fields, seem to have been violated only recently (), whereas the condition for attractive gravity, i.e., the strong
energy condition (SEC) was firstly violated billions of years ago, at .Comment: 6 pages, 3 figures. v2: References added, misprints corrected,
published in Phys.Rev.D in the present for
Geometric structure of the generic static traversable wormhole throat
Traversable wormholes have traditionally been viewed as intrinsically
topological entities in some multiply connected spacetime. Here, we show that
topology is too limited a tool to accurately characterize a generic traversable
wormhole: in general one needs geometric information to detect the presence of
a wormhole, or more precisely to locate the wormhole throat. For an arbitrary
static spacetime we shall define the wormhole throat in terms of a
2-dimensional constant-time hypersurface of minimal area. (Zero trace for the
extrinsic curvature plus a "flare-out" condition.) This enables us to severely
constrain the geometry of spacetime at the wormhole throat and to derive
generalized theorems regarding violations of the energy conditions-theorems
that do not involve geodesic averaging but nevertheless apply to situations
much more general than the spherically symmetric Morris-Thorne traversable
wormhole. [For example: the null energy condition (NEC), when suitably weighted
and integrated over the wormhole throat, must be violated.] The major technical
limitation of the current approach is that we work in a static spacetime-this
is already a quite rich and complicated system.Comment: 25 pages; plain LaTeX; uses epsf.sty (four encapsulated postscript
figures
Cosmodynamics: Energy conditions, Hubble bounds, density bounds, time and distance bounds
We refine and extend a programme initiated by one of the current authors
[Science 276 (1997) 88; Phys. Rev. D56 (1997) 7578] advocating the use of the
classical energy conditions of general relativity in a cosmological setting to
place very general bounds on various cosmological parameters. We show how the
energy conditions can be used to bound the Hubble parameter H(z), Omega
parameter Omega(z), density rho(z), distance d(z), and lookback time T(z) as
(relatively) simple functions of the redshift z, present-epoch Hubble parameter
H_0, and present-epoch Omega parameter Omega_0. We compare these results with
related observations in the literature, and confront the bounds with the recent
supernova data.Comment: 21 pages, 2 figure
Dirty black holes: Symmetries at stationary non-static horizons
We establish that the Einstein tensor takes on a highly symmetric form near
the Killing horizon of any stationary but non-static (and non-extremal) black
hole spacetime. [This follows up on a recent article by the current authors,
gr-qc/0402069, which considered static black holes.] Specifically, at any such
Killing horizon -- irrespective of the horizon geometry -- the Einstein tensor
block-diagonalizes into ``transverse'' and ``parallel'' blocks, and its
transverse components are proportional to the transverse metric. Our findings
are supported by two independent procedures; one based on the regularity of the
on-horizon geometry and another that directly utilizes the elegant nature of a
bifurcate Killing horizon. It is then argued that geometrical symmetries will
severely constrain the matter near any Killing horizon. We also speculate on
how this may be relevant to certain calculations of the black hole entropy.Comment: 21 pages; plain LaTe
Fourier spectra from exoplanets with polar caps and ocean glint
The weak orbital-phase dependent reflection signal of an exoplanet contains
information on the planet surface, such as the distribution of continents and
oceans on terrestrial planets. This light curve is usually studied in the time
domain, but because the signal from a stationary surface is (quasi)periodic,
analysis of the Fourier series may provide an alternative, complementary
approach.
We study Fourier spectra from reflected light curves for geometrically simple
configurations. Depending on its atmospheric properties, a rotating planet in
the habitable zone could have circular polar ice caps. Tidally locked planets,
on the other hand, may have symmetric circular oceans facing the star. These
cases are interesting because the high-albedo contrast at the sharp edges of
the ice-sheets and the glint from the host star in the ocean may produce
recognizable light curves with orbital periodicity, which could also be
interpreted in the Fourier domain.
We derive a simple general expression for the Fourier coefficients of a
quasiperiodic light curve in terms of the albedo map of a Lambertian planet
surface. Analytic expressions for light curves and their spectra are calculated
for idealized situations, and dependence of spectral peaks on the key
parameters inclination, obliquity, and cap size is studied.Comment: 15 pages, 2 tables, 13 figure
From wormhole to time machine: Comments on Hawking's Chronology Protection Conjecture
The recent interest in ``time machines'' has been largely fueled by the
apparent ease with which such systems may be formed in general relativity,
given relatively benign initial conditions such as the existence of traversable
wormholes or of infinite cosmic strings. This rather disturbing state of
affairs has led Hawking to formulate his Chronology Protection Conjecture,
whereby the formation of ``time machines'' is forbidden. This paper will use
several simple examples to argue that the universe appears to exhibit a
``defense in depth'' strategy in this regard. For appropriate parameter regimes
Casimir effects, wormhole disruption effects, and gravitational back reaction
effects all contribute to the fight against time travel. Particular attention
is paid to the role of the quantum gravity cutoff. For the class of model
problems considered it is shown that the gravitational back reaction becomes
large before the Planck scale quantum gravity cutoff is reached, thus
supporting Hawking's conjecture.Comment: 43 pages,ReV_TeX,major revision
Closed timelike curves in general relativity
Many solutions of Einstein's field equations contain closed timelike curves
(CTC). Some of these solutions refer to ordinary materials in situations which
might occur in the laboratory, or in astrophysics. It is argued that, in
default of a reasonable interpretation of CTC, general relativity does not give
a satisfactory account of all phenomena within its terms of reference.Comment: 3 pages, PACS: 042
A nongravitational wormhole
Using the effective metric formalism for photons in a nonlinear
electromagnetic theory, we show that a certain field configuration in
Born-Infeld electromagnetism in flat spacetime can be interpreted as an
ultrastatic spherically symmetric wormhole. We also discuss some properties of
the effective metric that are valid for any field configuration.Comment: LaTex, 9 pages with 5 figures, minor changes, accepted for
publication in Class. Quantum Gra
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