While numerous numerical relativity simulations adopt a 1+log slicing condition, shock-avoiding slicing conditions form a viable and sometimes advantageous alternative. Despite both conditions satisfying similar equations, recent numerical experiments point to a qualitative difference in the behavior of the lapse in the vicinity of the black-hole puncture: for 1+log slicing, the lapse appears to decay approximately exponentially, while for shock-avoiding slices it performs approximately harmonic oscillation. Motivated by this observation, we consider dynamical coordinate transformations of the Schwarzschild spacetime to describe small perturbations of static trumpet geometries analytically. We find that the character of the resulting equations depends on the (unperturbed) mean curvature at the black-hole puncture: for 1+log slicing it is positive, predicting exponential decay in the lapse, while for shock-avoiding slices it vanishes, leading to harmonic oscillation. In addition to identifying the value of the mean curvature as the origin of these qualitative differences, our analysis provides insight into the dynamical behavior of black-hole punctures for different slicing conditions.
Were noted in this study the effects of increasing doses and different nitrogen sources in the
production, chemical composition and the N contained in the shoots of millet forage conditions in
the Bioma Cerrado. Two N sources (urea and Novatec), four doses (0, 40, 80 and 160 kg ha-1
) and
three cuts with four replicates totaling 32 experimental units were used. The cuts were made
assessment when at least 50% of the plants reached 0.80 m in height. The variables analyzed were
GMP, DMP, DM, CP, NDF, ADF and CN of all cuts. There was no significant interaction between the
variables analyzed for sources and rates of N, N and cuts, cuts and sources of N and also the triple
interaction sources, cuts and N. The dose of GMP was higher than the second and third (1691 and
1862 kg ha-1
, respectively) that differed from the first cut (1362 kg ha-1
). The MS was statistically
different from the third (15.44%) and similar cutting the first and second sections (12.30 and
13.08%, respectively). The CP content significantly in all courts where the first cut differed from
the second cut and third cut differed from the others. The NDF and ADF differed between cuts,
rising as the cuts progressed. The two N sources are suitable for supplying N to growing millet.
The objective of this work was to report a value of potassium fertilization for the plants, with a
maize crop (pennisetum glaucum) that appeared 4,000 and 5,000 years BC south of the Sahara
desert, being widely used in animal feed, with one Wide use in the mid-west region, with a soil
cover function for the direct flat system. However, this culture is dependent on the use of
biochemistry that has an effect on the activation of various enzymatic systems, which involves the
processes of photosynthesis and respiration of the plant, also depicting how it is an absorption of
nutrients and their functions in the plant.
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