Gravitational waves and stalled satellites from massive galaxy mergers at z <= 1

We present a model for merger-driven evolution of the mass function for massive galaxies and their central supermassive black holes at late times. We discuss the current observational evidence in favor of merger-driven massive galaxy evolution during this epoch, and demonstrate that the observed evolution of the mass function can be reproduced by evolving an initial mass function under the assumption of negligible star formation. We calculate the stochastic gravitational wave signal from the resulting black-hole binary mergers in the low redshift universe (z <= 1) implied by this model, and find that this population has a signal-to-noise ratio as much as ~5x larger than previous estimates for pulsar timing arrays, with an expectation value for the characteristic strain h_c (f=1 yr^{-1}) = 4.1 x 10^{-15} that may already be in tension with observational constraints, and a {2-sigma, 3-sigma} lower limit within this model of h_c (f=1 yr^{-1}) = {1.1 x 10^{-15}, 6.8 x 10^{-16}}. The strength of this signal is sufficient to make it detectable with high probability under conservative assumptions within the next several years, if the principle assumption of merger-driven galaxy evolution since z = 1 holds true. For cases where a galaxy merger fails to lead to a black hole merger, we estimate the probability for a given number of satellite unmerged black holes to remain within a massive host galaxy, and interpret the result in light of ULX observations. In particular, we find that the brightest cluster galaxies should have 1-2 such sources with luminosities above 10^{39} erg/s, which is consistent with the statistics of observed ULXs.Comment: 11 pages, 5 figures, submitted to ApJ, v2 includes the referee's requested change

Detecting gravitational waves from highly eccentric compact binaries

In dense stellar regions, highly eccentric binaries of black holes and neutron stars can form through various n-body interactions. Such a binary could emit a significant fraction of its binding energy in a sequence of largely isolated gravitational wave bursts prior to merger. Given expected black hole and neutron star masses, many such systems will emit these repeated bursts at frequencies within the sensitive band of contemporary ground-based gravitational wave detectors. Unfortunately, existing gravitational wave searches are ill-suited to detect these signals. In this work, we adapt a "power stacking" method to the detection of gravitational wave signals from highly eccentric binaries. We implement this method as an extension of the Q-transform, a projection onto a multiresolution basis of windowed complex exponentials that has previously been used to analyze data from the network of LIGO/Virgo detectors. Our method searches for excess power over an ensemble of time-frequency tiles. We characterize the performance of our method using Monte Carlo experiments with signals injected in simulated detector noise. Our results indicate that the power stacking method achieves substantially better sensitivity to eccentric binary signals than existing localized burst searches.Comment: 17 pages, 20 figure

Observing complete gravitational wave signals from dynamical capture binaries

We assess the detectability of the gravitational wave signals from highly eccentric compact binaries. We use a simple model for the inspiral, merger, and ringdown of these systems. The model is based on mapping the binary to an effective single black hole system described by a Kerr metric, thereby including certain relativistic effects such as zoom-whirl-type behavior. The resultant geodesics source quadrupolar radiation and, in turn, are evolved under its dissipative effects. At the light ring, we attach a merger model that was previously developed for quasicircular mergers but also performs well for eccentric mergers with little modification. We apply this model to determine the detectability of these sources for initial, Enhanced, and Advanced LIGO across the parameter space of nonspinning close capture compact binaries. We conclude that, should these systems exist in nature, the vast majority will be missed by conventional burst searches or by quasicircular waveform templates in the advanced detector era. Other methods, such as eccentric templates or, more practically, a stacked excess power search, must be developed to avoid losing these sources. These systems would also have been missed frequently in the initial LIGO data analysis. Thus, previous null coincidence results with detected gamma-ray bursts cannot exclude the possibility of coincident gravitational wave signals from eccentric binaries.Comment: 18 pages, 18 figures; revised to match accepted version, PRD in pres

Vibration problems of skips in mine shafts : the effect of compressive forces in the guides

Investigations into problems involving the vibration of conveyances in deep mining shafts have led to the identification of 'slamming' as a significant event in the initiation of large perturbations in the motion of the skip. Slamming occurs when the flexible rollers on the skip which normally act on the guides are inoperative. The primary concern is that this slamming event can give rise to large lateral loads on the shaft steelwork and is therefore a factor which limits the speed at which the skip can be drawn up the shaft. This study extends previous work to investigate the influence of compressive forces in the guides on the response of the skip and the steelwork. These forces are induced as a result of mining operations and lead to a decrease in the transverse stiffness of the guides. A mathematical model of the slamming event is formulated and a numerical solution for a specific case is performed. An alternative simplified solution is discussed and compared to the initial formulation, with the aim of facilitating the use of previous research results. A model to simulate the response of the skip when the skip rollers are functional is formulated, and numerical solutions of different examples are given. An important conclusion is that the compressive forces can significantly reduce the transverse stiffness of the guides, and should be taken into account in future designs. Bibliography: pages 86-88

Comparisons of binary black hole merger waveforms

This a particularly exciting time for gravitational wave physics. Ground-based gravitational wave detectors are now operating at a sensitivity such that gravitational radiation may soon be directly detected, and recently several groups have independently made significant breakthroughs that have finally enabled numerical relativists to solve the Einstein field equations for coalescing black-hole binaries, a key source of gravitational radiation. The numerical relativity community is now in the position to begin providing simulated merger waveforms for use by the data analysis community, and it is therefore very important that we provide ways to validate the results produced by various numerical approaches. Here, we present a simple comparison of the waveforms produced by two very different, but equally successful approaches--the generalized harmonic gauge and the moving puncture methods. We compare waveforms of equal-mass black hole mergers with minimal or vanishing spins. The results show exceptional agreement for the final burst of radiation, with some differences attributable to small spins on the black holes in one case.Comment: Revtex 4, 5 pages. Published versio

Intraoperative glucose management in children < 1 year or < 10 kg: an observational study

Background: Infants may be at risk of hypoglycaemia in the perioperative period. Current evidence has led to the global use of maintenance fluid with low-concentration dextrose in these patients. This study aimed to analyse the current practice of anaesthetists in the authors’ institution with regard to blood glucose management, and to assess its adequacy.Methods: Ninety-nine patients under one year of age, or less than 10 kilograms, who required anaesthesia were enrolled. The intraoperative management of intravenous dextrose administration and blood glucose monitoring was at the discretion of the attending anaesthetists. Data collected included patient demographics, period of starvation, dose of dextrose administered and blood glucose measurements taken.Results: Nine infants had at least one glucose value lower than 3.7 mmol/l at any time during the procedure, while all received intravenous dextrose intraoperatively. The hypoglycaemic episode occurred on initial measurement (start of surgery) in five infants and later on in the procedure in four infants. This subgroup had an average age of 1.5 months, and average weight of 2.9 kg. Seven of these infants had significant co-morbidities and/or prematurity and low birthweight.Conclusions: The findings indicate that anaesthetists adhere to current recommendations regarding glucose management, and confirmed the safety of intraoperative administration of 0–2.5% dextrose in isotonic solution to healthy infants. The authors’ observations also emphasised that smaller infants and those with significant co-morbidities are at particular risk of developing hypoglycaemia, despite preoperative and intraoperative dextrose administration. It remains important to check glucose levels in patients at risk of hypoglycaemia.Keywords: dextrose, infants, intraoperative, hypoglycaemia, hyperglycaemi

Two fast X-ray transients in archival Chandra data

We present the discovery of two new X-ray transients in archival Chandra data. The first transient, XRT 110103, occurred in January 2011 and shows a sharp rise of at least three orders of magnitude in count rate in less than 10 s, a flat peak for about 20 s and decays by two orders of magnitude in the next 60 s. We find no optical or infrared counterpart to this event in preexisting survey data or in an observation taken by the SIRIUS instrument at the Infrared Survey Facility 2.1 yr after the transient, providing limiting magnitudes of J>18.1, H>17.6 and Ks>16.3. This event shows similarities to the transient previously reported in Jonker et al. which was interpreted as the possible tidal disruption of a white dwarf by an intermediate mass black hole. We discuss the possibility that these transients originate from the same type of event. If we assume these events are related a rough estimate of the rates gives 1.4*10^5 per year over the whole sky with a peak 0.3-7 keV X-ray flux greater than 2*10^-10 erg cm^-2 s^-1 . The second transient, XRT 120830, occurred in August 2012 and shows a rise of at least three orders of magnitude in count rate and a subsequent decay of around one order of magnitude all within 10 s, followed by a slower quasi-exponential decay over the remaining 30 ks of the observation. We detect a likely infrared counterpart with magnitudes J=16.70+/-0.06, H=15.92+/-0.04 and Ks=15.37+/-0.06 which shows an average proper motion of 74+/-19 milliarcsec per year compared to archival 2MASS observations. The JHKs magnitudes, proper motion and X-ray flux of XRT 120830 are consistent with a bright flare from a nearby late M or early L dwarf.Comment: Accepted for publication in MNRAS, 6 pages, 5 figure