EMRIs around j=1j=1 black holes with synchronised hair

We study extreme mass ratio inspirals (EMRIs) due to an infalling Light Compact Object (LCO) onto a generic class of stationary and axi-symmetric massive compact objects (MCO - with or without a horizon). Using the quadrupole hybrid formalism we obtain a master formula for the evolution of the radius of the LCO and find qualitatively different behaviours depending on the geodesic structure of the MCO. We then specialize the MCO to a black hole with synchronised scalar hair (BHsSH). To allow a comparison with a highly spinning Kerr BH, we consider BHsSH with dimensionless spin, $j = 1$. This yields two distinct sequences of solutions. The first harbours Kerr-like solutions with maximal hairiness of $\sim 10\%$. The corresponding EMRIs are Kerr-like, but the cut-off frequency can be a few times smaller than in Kerr, yielding waveforms with quantitatively significant non-Kerrness. The second sequence links the extremal Kerr black hole to a mini-boson star with $j=1$. Here we observe qualitative non-Kerrness, such as the non-monotonically increase of the angular velocity and stagnation endpoints, reflecting Kerr-unlike geodesic structures.Comment: 20 pages, 15 figure

Rotating Axion Boson Stars

We construct and study rotating axion boson stars (RABSs). These are the spinning generalisations of the spherical gravitating solitons recently introduced in arXiv:1909.05515. RABSs are asymptotically flat, stationary, axially symmetric, everywhere regular solutions of the Einstein-Klein-Gordon theory, in the presence of a periodic scalar potential arising in models of axion-like particles. The potential is characterised by two parameters: the mass of the scalar field $m_a$ and the decay constant $f_a$. We present an overview of the solution space, for different values of $f_a$, and analyse some of their phenomenological properties. For large decay constants the solutions become identical to the standard spinning mini boson stars. For small decay constants, on the other hand, the solutions develop distinctive features. In particular, we analyse their compactness, the emergence of ergoregions, light rings and the distribution of stable and unstable equatorial timelike circular orbits, including the innermost stable circular orbit. We also establish the occurrence of violations of the strong energy condition for physical observers, for some RABSs. We observe some analogy between RABSs and spinning gravitating $Q$-balls.Comment: v2: minor improvements and added references. Matches version to appear in JCA

Equatorial timelike circular orbits around generic ultracompact objects

For a stationary, axisymmetric, asymptotically flat, ultra-compact [$i.e.$ containing light-rings (LRs)] object, with a $\mathbb{Z}_2$ north-south symmetry fixing an equatorial plane, we establish that the structure of timelike circular orbits (TCOs) in the vicinity of the equatorial LRs, for either rotation direction, depends exclusively on the stability of the LRs. Thus, an unstable LR delimits a region of unstable TCOs (no TCOs) radially above (below) it; a stable LR delimits a region of stable TCOs (no TCOs) radially below (above) it. Corollaries are discussed for both horizonless ultra-compact objects and black holes. We illustrate these results with a variety of exotic stars examples and non-Kerr black holes, for which we also compute the efficiency associated with converting gravitational energy into radiation by a material particle falling under an adiabatic sequence of TCOs. For most objects studied, it is possible to obtain efficiencies larger than the maximal efficiency of Kerr black holes, $i.e.$ larger than $42\%$.Comment: 21 pages, 11 figure

Kerr black holes with synchronised axionic hair

We construct and analyse Kerr black holes (BHs) with synchronised axionic hair. These are the BH generalisations of the recently constructed rotating axion boson stars arXiv:2005.05982. Such BHs are stationary, axially symmetric, asymptotically flat solutions of the complex Einstein-Klein-Gordon theory with a QCD axion-like potential. They are regular everywhere on and outside the event horizon. The potential is characterised by two parameters: the mass of the axion-like particle, $m_a$ and the decay constant $f_a$. The limit $f_a \rightarrow \infty$ recovers the original example of Kerr BHs with synchronised scalar hair arXiv:1403.2757. The effects of the non-linearities in the potential become important for $f_a \lesssim 1$. We present an overview of the parameter space of the solutions together with a study of their basic geometric and phenomenological properties, for an illustrative value of the coupling that yields a non-negligible impact of the self-interactions.Comment: 15 pages, 7 figure

Resultados del tratamiento de la inestabilidad postdisectomia mediante artrodesis posterolateral lumbar

El mecanismo fisiopatológico por el cual, tras una discectomia en columna lumbar, se puede producir inestabilidad en este segmento de la columna, ha sido establecido en múltiples estudios y se encuentra en la bibliografía actual. Sin embargo, hay pocas publicaciones en la literatura que hagan referencia a los resultados de la artrodesis posterolateral lumbar en inestabilidad clínico-radiológica generada tras una discectomia lumbar. El propósito del presente estudio es valorar los resultados obtenidos en mejora de calidad de vida, en pacientes sometidos a artrodesis lumbar con tornillos pediculares en inestabilidad postdisectomía. La población estudiada se trató de 15 pacientes, 10 hombres y 5 mujeres con edades comprendidas entre los 27 y 65 años, la selección de los pacientes además del antecedente de cirugía discal, se basó en la presencia de un cuadro clínico de inestabilidad unido a pruebas radiológicas estáticas, dinámicas y resonancia magnética, y por último la ausencia de problemas de tipo laboral o psicológico, los datos se obtuvieron por entrevista personal y llamada telefónica, utilizando la escala de Oswestry y la escala analógica de Scott. Los resultados obtenidos fueron buenos ya que más del 90% de los pacientes refirieron mejoría en su calidad de vida. Se puede concluir que la artrodesis posterolateral con tornillos pediculares en inestabilidad postdisectomia, es una buena opción quirúrgica, con la cual se puede obtener mejoría del cuadro clínico del paciente.The present study has the aime, the evaluation of results of posterolateral lumbar arthrodesis in patients who had undergone lumbar discal surgery failed because of appearance of instability. Retrospective study in 15 patients with diagnosis instability postdiskectomy made by: clinical, static and dynamic x-ray and MRI, treated with posterolateral lumbar arthrodesis using pedicular screw. Ten males and five female of 27-65 years and average 46, we used the life quality scale Oswestry and Scott scale. The shortest follow up 3 years and longest 6 years. Our results were: time between diskectomy and arthrodesis variated from 1 to 10 years, average 5 years, about: pain intensity, patients need analgesic because pain, help for activities, deambulation, sexual activity all of them improve. We had 3 cases with clinical symptoms, the other one pain free. One case of deep infection of wound where surgical debridement was necessary. Finally Scott¿s scale prior to surgery punctuation was between 1-4. after between 8-10. Excepting 1 case with bad evolution. Conclusion: posterolateral lumbar arthrodesis with pedicular screew can be a good option of treatment in instability postdikectomy

Real Time Leak Isolation in Pipelines Based on a Time Delay Neural Network

In this paper, the one leak isolation problem in a water pipeline is tackled using a Time Delay Neural Network. This scheme comes as an alternative to achieve better computing performance since the classical model-based methods usually have high workloads due to the pipe mathematical model complexity compared with the leak dynamics speed. The Neural Network structure could have better time performance exploiting the parallel architecture of some electronics devices like an FPGA. The authors propose a scheme where, due to the difficulty in obtaining training data from a real pipeline, a mathematical model is used to generate synthetic training data. Such training data is obtained using different leak magnitudes and leak positions and it is also corrupted by random noise in order to emulate real data pipe. Finally, to show the potentiality of this method, some results are presented by using real-noisy databases coming from a pipeline prototype.Following the classical leak diagnosis hypothesis, only flow and pressure sensor at both ends of the aqueducts are used for the treatment.ITESO, A.C

Importancia de la estática del raquis lumbar y pelvis en la estenosis degenerativa del canal raquídeo lumbar

El objetivo de este trabajo es examinar algunos parámetros de la estática del caquis lumbosacro en 50 pacientes diagnosticados de estrechez degenerativa del caneal raquídeo lumbar (EDCL), y en un grupo control de 31 sujetos sin antecedentes de patología raquídea, y evaluar las diferencias entre ambos grupos. Los parámetros estudiados mediante radiología simple han sido: Altura discal, la lordosis lumbar, el ángulo lumbosacro de Ferguson, la pendiente sacra, el índice de Taillard, el ángulo discal L5-S1, el nivel de crestas iliacas, y el ángulo de Cauchoix. El ángulo de inclinación del platillo de S1 respecto de la horizontal fue significativamente mayor en el grupo de pacientes que en el de controles. La lordosis no varió significativamente entre ambos grupos. Pero si se observaron diferencias significativas en función del número de niveles estrechados. En el grupo de control, predominaron de forma significativas las disposiciones pélvicas estables, donde las crestas iliacas coinciden con la cuarta vértebra lumbar.The objective of this paper is to examine some parameters of the static of the lumbosacral spine in 50 patients with degenerative stenose of lumbar spine, and in a control groupe of 31 subjects without antecedents of spine pathology, and to evaluate the differences between both groups. We studied by means of simple radiology: the discal height, the lumbar lordosis, the index of Taillard, the discal angle L5-S1, the level of the iliacs crests, and the angle of Cauchoix. The angel of Ferguson was significantly smaller in the group of patients that in that of the controls. The lordosis didn't vary significantly between groups, but it was significantly different if it was observed in function of the number of narrowed levels. In the control group, the stable pelvic despositions (where the crests iliacas coincides with fourth lumbar vertebra) prevailed in a significant way

Theoretical study on the molecular mechanism of the [5 + 2] vs. [4 + 2] cyclization mediated by Lewis acid in the quinone system

[EN] The thermal and Lewis acid (LA) catalyzed cyclizations of quinone 1 involved in the synthesis of Colombiasin A and Elipsaterosin B have been theoretically studied using DFT methods at the B3LYP/6-311G(d,p) computational level. B3LYP calculations suggest that the formal endo [4 + 2] cycloadduct allowing the synthesis of Colombiasin A is preferentially formed under thermal conditions, while in the presence of the BF3 LA catalyst the formal [5 + 2] cycloadduct is seen, allowing the synthesis of Elipsaterosin B. The BF3 LA catalyst not only accelerates the nucleophilic attack on the C2 carbon of the quinone framework through a more polar C-C bond formation, but also provokes a different electron density rearrangement along the nucleophilic attack favoring the subsequent C-C bond formation at the C4 carbon with the formation of the formal [5 + 2] cycloadduct. ELF bonding analysis along these cyclizations indicates that the C-C single bond formation takes place in the range of 1.91-2.1 angstrom by C-to-C coupling of two pseudoradical centers. Along the formation of the first C2-C9 single bond, these pseudoradical centers appear at one of the most electrophilic and at one of the most nucleophilic centers of quinone 1, C2 and C9 carbons, respectively. Analysis of the Parr functions suggests that although the most favorable electrophilic/nucleophilic interaction is that involving the C2 carbon of quinone and the C12 carbon of the butadiene framework, the intramolecular nature of the cyclization prevents the corresponding reactive channel.This work was supported by the Post-Doctoral fellow FONDECYT Grant 3130359 and Project ICM-P10-003-F CILIS granted by Fondo de Innovacion para la Competitividad del Ministerio de Economia, Fomento y Turismo, Chile.Soto-Delgado, J.; Sáez-Cases, JA.; Tapia, RA.; Domingo, LR. (2013). Theoretical study on the molecular mechanism of the [5 + 2] vs. [4 + 2] cyclization mediated by Lewis acid in the quinone system. Organic and Biomolecular Chemistry. 11(48):8357-8365. https://doi.org/10.1039/c3ob41860jS83578365114

(3-Anilino-1-phenyl­imino­thio­ureato)chloridodimethyl­tin(IV)

In the title compound, [Sn(CH3)2(C13H11N4S)Cl], the Sn atom is five-coordinated in a distorted trigonal-bipyramidal geometry, with two methyl groups and one S atom in the equatorial plane, and one N atom and the Cl atom occupying the apical positions