1,649 research outputs found

    Testing bulls for breeding soundness

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    New tests are available to ensure that bulls are fertile

    Choosing a calcium supplement for sheep fed cereal grains

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    Sheep fed cereal grains as an energy source over summer usually need added calcium because cereal grains are generally low in calcium (for example, 0.03 per cent calcium compared to 0.26 per cent phosphorus), and there may not be a natural source such as clover, weeds, leafy stubble or edible bush in the paddock. The safestt and most effective calcium supplement is finely ground limestone added to the feed, but some farmers have used other sources of calcium such as gypsum and superphosphate in this manner

    Black holes in asymptotically Lifshitz spacetimes with arbitrary critical exponent

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    Recently, a class of gravitational backgrounds in 3+1 dimensions have been proposed as holographic duals to a Lifshitz theory describing critical phenomena in 2+1 dimensions with critical exponent z≄1z\geq 1. We numerically explore black holes in these backgrounds for a range of values of zz. We find drastically different behavior for z>2z>2 and z2z2 (z<2z<2) the Lifshitz fixed point is repulsive (attractive) when going to larger radial parameter rr. For the repulsive z>2z>2 backgrounds, we find a continuous family of black holes satisfying a finite energy condition. However, for z<2z<2 we find that the finite energy condition is more restrictive, and we expect only a discrete set of black hole solutions, unless some unexpected cancellations occur. For all black holes, we plot temperature TT as a function of horizon radius r0r_0. For zâȘ…1.761z\lessapprox 1.761 we find that this curve develops a negative slope for certain values of r0r_0 possibly indicating a thermodynamic instability.Comment: 23 pages, 6 figures, references corrected, graphs made readable in greyscal

    Feynman Path Integral on the Noncommutative Plane

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    We formulate Feynman path integral on a non commutative plane using coherent states. The propagator for a free particle exhibits UV cut-off induced by the parameter of non commutativity.Comment: 7pages, latex 2e, no figures. Accepted for publication on J.Phys.

    First Order Description of Black Holes in Moduli Space

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    We show that the second order field equations characterizing extremal solutions for spherically symmetric, stationary black holes are in fact implied by a system of first order equations given in terms of a prepotential W. This confirms and generalizes the results in [14]. Moreover we prove that the squared prepotential function shares the same properties of a c-function and that it interpolates between M^2_{ADM} and M^2_{BR}, the parameter of the near-horizon Bertotti-Robinson geometry. When the black holes are solutions of extended supergravities we are able to find an explicit expression for the prepotentials, valid at any radial distance from the horizon, which reproduces all the attractors of the four dimensional N>2 theories. Far from the horizon, however, for N-even our ansatz poses a constraint on one of the U-duality invariants for the non-BPS solutions with Z \neq 0. We discuss a possible extension of our considerations to the non extremal case.Comment: Some points clarified, a comment on the interpretation of the prepotential W in terms of c-function added, typos corrected. Version to appear on JHE

    Holographic description of D3-branes in flat space

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    We describe a scheme for constructing the holographic dual of the full D3-brane geometry with charge KK by embedding it into a large anti-de Sitter space of size NN. Such a geometry is realized in a multi-center anti-de Sitter geometry which admits a simple field theory interpretation as SU(N+K)SU(N+K) gauge theory broken to SU(N)×SU(K)SU(N) \times SU(K). We find that the characteristic size of the D3-brane geometry is of order (K/N)1/4U0(K/N)^{1/4} U^0 where U0U^0 is the scale of the Higgs. By choosing NN to be much larger than KK, the scale of the D3-brane metric can be well separated from the Higgs scale in the radial coordinate. We generalize the holographic energy-distance relation and estimate the characteristic energy scale associated with these radial scales, and find that the E/UE/U relation becomes effectively UU independent in the range (K/N)1/2U0<U<U0(K/N)^{1/2} U^0 < U < U^0. This implies that all detailed structure of the D3-brane geometry is encoded in the fine structure of the boundary gauge theory at around the Higgs scale.Comment: 8 pages, 1 eps figur

    Black Rings, Supertubes, and a Stringy Resolution of Black Hole Non-Uniqueness

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    In order to address the issues raised by the recent discovery of non-uniqueness of black holes in five dimensions, we construct a solution of string theory at low energies describing a five-dimensional spinning black ring with three charges that can be interpreted as D1-brane, D5-brane, and momentum charges. The solution possesses closed timelike curves (CTCs) and other pathologies, whose origin we clarify. These pathologies can be avoided by setting any one of the charges, e.g. the momentum, to zero. We argue that the D1-D5-charged black ring, lifted to six dimensions, describes the thermal excitation of a supersymmetric D1-D5 supertube, which is in the same U-duality class as the D0-F1 supertube. We explain how the stringy microscopic description of the D1-D5 system distinguishes between a spherical black hole and a black ring with the same asymptotic charges, and therefore provides a (partial) resolution of the non-uniqueness of black holes in five dimensions.Comment: 33 pages, 1 figur
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