Gyroscopic Precession and Inertial Forces in Axially Symmetric Stationary Spacetimes

We study the phenomenon of gyroscopic precession and the analogues of inertial forces within the framework of general relativity. Covariant connections between the two are established for circular orbits in stationary spacetimes with axial symmetry. Specializing to static spacetimes, we prove that gyroscopic precession and centrifugal force both reverse at the photon orbits. Simultaneous non-reversal of these in the case of stationary spacetimes is discussed. Further insight is gained in the case of static spacetime by considering the phenomena in a spacetime conformal to the original one. Gravi-electric and gravi-magnetic fields are studied and their relation to inertial forces is established.Comment: 21 pages, latex, no figures, http://202.41.67.76/~nayak/gpifass.te

Ocular Surface Squamous Neoplasia in Xeroderma Pigmentosum

Xeroderma pigmentosum (XP) is a rare genetic disorder associated with multiple oculocutaneous and neurological manifestations. It occurs due to deficiency of the enzymes responsible for repairing ultraviolet radiation-induced DNA damage. Persistence of un-repaired DNA results in somatic mutations, leading to neoplasia of the skin and ocular surface. As this condition is rare, only isolated case reports of XP with ocular surface squamous neoplasia (OSSN) are found in literature

Improving the Sensitivity of LISA

It has been shown in the past, that the six Doppler data streams obtained LISA configuration can be combined by appropriately delaying the data streams for cancelling the laser frequency noise. Raw laser noise is several orders of magnitude above the other noises and thus it is essential to bring it down to the level of shot, acceleration noises. A rigorous and systematic formalism using the techniques of computational commutative algebra was developed which generates all the data combinations cancelling the laser frequency noise. The relevant data combinations form a first module of syzygies. In this paper we use this formalism for optimisation of the LISA sensitivity by analysing the noise and signal covariance matrices. The signal covariance matrix, averaged over polarisations and directions, is calculated for binaries whose frequency changes at most adiabatically. We then present the extremal SNR curves for all the data combinations in the module. They correspond to the eigenvectors of the noise and signal covariance matrices. We construct LISA `network' SNR by combining the outputs of the eigenvectors which improves the LISA sensitivity substantially. The maximum SNR curve can yield an improvement upto 70 % over the Michelson, mainly at high frequencies, while the improvement using the network SNR ranges from 40 % to over 100 %. Finally, we describe a simple toy model, in which LISA rotates in a plane. In this analysis, we estimate the improvement in the LISA sensitivity, if one switches from one data combination to another as it rotates. Here the improvement in sensitivity, if one switches optimally over three cyclic data combinations of the eigenvector is about 55 % on an average over the LISA band-width. The corresponding SNR improvement is 60 %, if one maximises over the module.Comment: 16 pages, 10 figures, Submitted to Class. Quant. Gravit

Foodborne pathogens in poultry production and post-harvest control

A comprehensive ecological survey was conducted from April 1997 to June 1999 on four turkey flocks (F5-F8) to identify the preharvest sources of Salmonella colonization. Generic E. coli and total coliforms were enumerated as indicators of fecal contamination in F7 and F8. Turkey cecal and crop contents, litter, drinkers, air, feed, feeder contents, and environmental swabs were sampled and tested for Salmonella and E. coli. Salmonella was isolated from 13% of litter, 11% of turkey ceca, 10% of drinkers, and 5% of swabs. Escherichia coli and total coliforms were detected in 45 and 53% of samples, respectively. Salmonella heidelberg was the major serotype isolated from the sampled flocks. About 25% of the Salmonella isolates were resistant to antibiotic(s). Identifying preharvest sources of Salmonella and E. coli colonization would assist integrators and producers in designing hazard analysis and critical control point (HACCP) Protocols. On-farm reduction of these pathogens will assist processors in reducing positive carcasses at the plant.;A skin attachment model was used to examine the ability of ZnCl 2 to reverse or inhibit Salmonella attachment to broiler skin. In reversal experiments, skin samples were first treated with 1 mL of S. typhimurium culture (108 CFU/mL) for 30 min, followed by the addition of 1 mL of 25 or 50 mM ZnCl2 for 5 or 15 min. For inhibition experiments, this order was reversed. Firmly and loosely attached salmonellae were enumerated on the skin. Treated skin samples were observed under a scanning electron microscope. In reversal experiments, 25 and 50 mM ZnCl2 reduced (p \u3c 0.01) firmly attached cells by 77 and 89%, respectively, when compared to the control (water). At 25 and 50 mM concentration, ZnCl2 reduced (p \u3c 0.0001) cells in the discard by 99.4 and 99.9%, respectively. Micrographs indicated that 25 and 50 mM ZnCl2 reduced (p \u3c 0.1) Salmonella attachment by 69 and 99.9%, respectively, in the reversal experiments. In the inhibition experiments, 25 and 50 mM ZnCl2 reduced (p \u3c 0.01) firmly attached cells by 82 and 91%, respectively. Reduction of Salmonella may be attributed, in part, to the bactericidal activity of ZnCl2 in addition to detachment of the bacterial cells on skin

Tomographic approach to resolving the distribution of LISA Galactic binaries

The space based gravitational wave detector LISA is expected to observe a large population of Galactic white dwarf binaries whose collective signal is likely to dominate instrumental noise at observational frequencies in the range 10^{-4} to 10^{-3} Hz. The motion of LISA modulates the signal of each binary in both frequency and amplitude, the exact modulation depending on the source direction and frequency. Starting with the observed response of one LISA interferometer and assuming only doppler modulation due to the orbital motion of LISA, we show how the distribution of the entire binary population in frequency and sky position can be reconstructed using a tomographic approach. The method is linear and the reconstruction of a delta function distribution, corresponding to an isolated binary, yields a point spread function (psf). An arbitrary distribution and its reconstruction are related via smoothing with this psf. Exploratory results are reported demonstrating the recovery of binary sources, in the presence of white Gaussian noise.Comment: 13 Pages and 9 figures high resolution figures can be obtains from http://www.phys.utb.edu/~rajesh/lisa_tomography.pd

Algebraic approach to time-delay data analysis for LISA

Cancellation of laser frequency noise in interferometers is crucial for attaining the requisite sensitivity of the triangular 3-spacecraft LISA configuration. Raw laser noise is several orders of magnitude above the other noises and thus it is essential to bring it down to the level of other noises such as shot, acceleration, etc. Since it is impossible to maintain equal distances between spacecrafts, laser noise cancellation must be achieved by appropriately combining the six beams with appropriate time-delays. It has been shown in several recent papers that such combinations are possible. In this paper, we present a rigorous and systematic formalism based on algebraic geometrical methods involving computational commutative algebra, which generates in principle {\it all} the data combinations cancelling the laser frequency noise. The relevant data combinations form the first module of syzygies, as it is called in the literature of algebraic geometry. The module is over a polynomial ring in three variables, the three variables corresponding to the three time-delays around the LISA triangle. Specifically, we list several sets of generators for the module whose linear combinations with polynomial coefficients generate the entire module. We find that this formalism can also be extended in a straight forward way to cancel Doppler shifts due to optical bench motions. The two modules are infact isomorphic. We use our formalism to obtain the transfer functions for the six beams and for the generators. We specifically investigate monochromatic gravitational wave sources in the LISA band and carry out the maximisiation over linear combinations of the generators of the signal-to-noise ratios with the frequency and source direction angles as parameters.Comment: 27 Pages, 6 figure

Consequence of prill fat and rumen protected choline supplementation on milk yield and its makeup in Murrah buffaloes

This study was conducted to analyze the consequence of prill fat and rumen protected choline (RPC) supplementation on performance of lactating Murrah buffaloes. Murrah buffaloes (n=18) were distributed into three groups (Control, T1 and T2) having six buffaloes in each, based on milk yield, fat per cent and stage of lactation. During the experimental period of 90 days, buffaloes in all the three groups were fed same basal diet, containing green fodder (Berseem), wheat straw and concentrate mixture to meet their requirements for maintenance and milk production. Buffaloes in Group T1 were daily supplemented with prill fat 2.5% of total DMI whereas; buffaloes in Group T2 were daily supplemented with 54 g rumen protected choline along with same quantity of prill fat fed as in Group T1. In contrast to the control group, overall milk yield (kg) of lactating Murrah buffaloes was significantly (P<0.01) increased by 0.99 and 1.78 kg in Group T1 and T2. The average 4% FCM (kg/d), ECM (kg/d) and fat yield (kg/d) was significantly (P<0.01) higher in Group T2 followed by Group T1 and Group control. There was no significant difference in milk composition of buffaloes except milk fat (%) and total solids (%) which were improved significantly (P<0.01) in supplemented groups. It was observed that prill fat supplementation in the ration helped to make better performance of early lactating Murrah buffaloes by enhanced milk yield and fat percent which can be further increased by supplementing the ration with rumen protected choline. Overall milk yield (kg) of lactating Murrah buffaloes was significantly (p<0.01) increased by 0.99 and 1.78 kg in T1 and T2 groups, as compared to the control group. The average 4% FCM (kg/d), ECM (kg/d) and fat yield (kg/d) was significantly (p<0.01) higher in T2 group followed by T1 and control group. There was no significant difference in milk composition of buffaloes except milk fat (%) and total solids (%) which were improved significantly (p<0.01) in supplemented groups. It was concluded that prill fat supplementation in the ration helped in improving performance of early lactating Murrah buffaloes by increasing milk yield and fat percent which can be further enhanced by supplementing the ration with rumen protected choline

Analytical and numerical treatment of perturbed black holes in horizon-penetrating coordinates

The deviations of non-linear perturbations of black holes from the linear case are important in the context of ringdown signals with large signal-to-noise ratio. To facilitate a comparison between the two we derive several results of linear perturbation theory in coordinates which may be adopted in numerical work. Specifically, our results are derived in Kerr-Schild coordinates adjusted by a general height function. In the first part of the paper we address the questions: for an initial configuration of a massless scalar field, what is the amplitude of the excited quasinormal mode (QNM) for any observer outside outside the event horizon, and furthermore what is the resulting tail contribution? This is done by constructing the full Green's function for the problem with exact solutions of the confluent Heun equation satisfying appropriate boundary conditions. In the second part of the paper, we detail new developments to our pseudospectral numerical relativity code bamps to handle scalar fields. In the linear regime we employ precisely the Kerr-Schild coordinates treated by our previous analysis. In particular, we evolve pure QNM type initial data along with several other types of initial data and report on the presence of overtone modes in the signal.Comment: 25 pages, 7 figure

Fundamentals of the LISA Stable Flight Formation

The joint NASA-ESA mission LISA relies crucially on the stability of the three spacecraft constellation. Each of the spacecraft is in heliocentric orbits forming a stable triangle. The principles of such a formation flight have been formulated long ago and analysis performed, but seldom presented if ever, even to LISA scientists. We nevertheless need these details in order to carry out theoretical studies on the optical links, simulators etc. In this article, we present in brief, a model of the LISA constellation, which we believe will be useful for the LISA community.Comment: 9 Pages, 2 Figure Submitted to Classical and Quantum Gravit