On Generalized Monopole Spherical Harmonics and the Wave Equation of a Charged Massive Kerr Black Hole

We find linearly independent solutions of the Goncharov-Firsova equation in the case of a massive complex scalar field on a Kerr black hole. The solutions generalize, in some sense, the classical monopole spherical harmonic solutions previously studied in the massless cases.Comment: Accepted for publication, Mod. Phys. Lett. A. 13 pages, including reference

Double bubbles in the 3-torus

We present a conjecture, based on computational results, on the area minimizing way to enclose and separate two arbitrary volumes in the flat cubic 3-torus. For comparable small volumes, we prove that an area minimizing double bubble in the 3-torus is the standard double bubble from R^3.Comment: 13 pages, 4 figures. Prepared on behalf of the participants in the Clay Mathematics Institute Summer School on the Global Theory of Minimal Surfaces, held at the Mathematical Sciences Research Institute in Berkeley, California, Summer 200

Explicit soliton-black hole correspondence for static configurations

We construct an explicit map that transforms static, generalized sine-Gordon metrics to black hole type metrics. This, in particular, provides for a further description of the Cadoni correspondence (which extends the Gegenberg-Kunstatter correspondence) of soliton solutions and extremal black hole solutions in 2D dilaton gravity.Comment: Submitted to Phys Rev D, 7 pages, no figure

Effects of Bene (Pistacia atlantica) on Histopathology of Testis, Sperm Chromatin Quality and Stress Oxidative in Busulfan-Induced Infertile Mice

Background: Some plants stimulate spermatogenesis and increase fertility, while some cause spermatogenesis arrest. So far, the effects of bene (Pistacia atlantica) on male fertility have not been studied. The aim of this study was to investigate the effects of bene on sperm parameters, testicular histopathology, sperm quality, and oxidative stress in busulfan-induced infertile mice. Methods: Thirty-five male BALB/c mice were randomly assigned to control, sham, busulfan, bene, and bene + busulfan groups. The busulfan group received 10 mg/kg as a single dose and intraperitoneally. The bene group received pellets containing 10% of bene. Another group received 10 mg/kg busulfan and was fed with pellet containing 10% bene. Then, sperms, sperm chromatin quality, testicular histopathology, and oxidative stress levels were studied on the 35th day of the experiment. Results: Busulfan injection resulted in a significant reduction in sperm parameters compared to the control group (p<0.001); it decreased after bene administration (p<0.001). In addition, in the group treated with bene, the sperm count with damaged DNA was reduced and the level of malondialdehyde decreased compared to the busulfan group. A significant increase was observed in the mean level of superoxide dismutase and catalase enzymes in the bene + busulfan group compared to the busulfan group (p<0.001). The histopathological improvement of the testis was observed in the bene + busulfan group. Conclusion: The administration of 10 mg/kg of bene powder for 35 days reduced the oxidative stress, improved testicular histopathology, sperm chromatin quality, and sperm parameters in the infertile mice model

Effects of Carob (Ceratonia siliqua) on Sperm Quality, Testicular Structure, Testosterone Level and Oxidative Stress in Busulfan-Induced Infertile Mice

Background: Ceratonia silique has antioxidant activities that may inactivate toxic factors and influence sperm quality. To the best of the authors’ knowledge, there is no available data on the effects of carob on male fertility. Hence, the purpose of this study was to investigate the effects of carob on sperm quality, testicular structure, and level of testosterone hormone in busulfan-induced infertile mice. Methods: Sixty-four adult male mice were randomly divided into 8 groups (control, sham, busulfan and carobs 1 to 5). The busulfan group was injected a single dose of 10 mg/kg busulfan intraperitoneally. Carobs 1 to 5 groups received intraperitoneal doses of 800, 400, 200, 100 and 50 mg/kg of carob extract plus a single dose of 10 mg/kg busulfan for 35 days. The sperm analysis, morphometric study, testosterone levels and oxidative stress determination were done on the 35th day of the experiment. Results: The lowest percentage of sperm parameters was related to the busulfan group and the highest was related to the carobs 1 and 2 groups. The seminal vesicles index of the carob 1 group showed a significant increase as compared to the busulfan group (p < 0.001). A significant increase was observed in the mean value of germinal epithelium thickness, as well as thiol and catalase levels in carobs 1 and 2 groups as compared to the busulfan group (p < 0.001). There was a significant increase in the mean level of testosterone in the carob groups as compared to the busulfan group (p < 0.001). Also, there was a significant decrease in the mean value of malondialdehyde level in the carobs 1 and 2 groups p < 0.001) and a significant increase in the mean value of superoxide dismutase enzyme in the carob groups as compared to the busulfan group (p < 0.001). Conclusion: Administration of 800 mg/kg of carob extract for 35 days improved sperm quality, biochemical parameters, thickness of germinal epithelium and testosterone levels in infertile mice induced by busulfan

Marginally stable circular orbits in stationary axisymmetric spacetimes

16 pages, 1 figure. Published in Phys. Rev. D 94, 024015 (2016)E. G. gratefully acknowledges support from Consejo Nacional de Ciencia y Tecnonología (CONACyT Scholarship No. 494039/218141). S. B. also thanks the London Mathematical Society for their support (Grace Chisholm Young Fellowship No. GCY 13-14 02)

Solutions of the dilaton field equations with applications to the soliton-black hole correspondence in generalised JT gravity

In this thesis, we explore connections between solitons, black holes, and harmonic maps in two-dimensional gravitation. Euclidean sine-Gordon theory, naturally admitting soliton solutions, and Schwarzschild-type black hole metrics, of physical interest, are studied in detail for the case of JT gravity. Establishing an explicit soliton-black hole correspondence in this setting, new solutions to the associated JT field equations are given. Consequences and concrete applications of the constructed gauge transformations are also discussed, including characterisation of the Killing vector fields and solutions to a nontrivial Eigenvalue Problem using the theory of hypergeometric equations. We next consider a generalised two-dimensional action and establish a correspondence between nonconstant curvature soliton metrics and black hole metrics. The theory is applied to completely solve the static case, as well as study other classical dilaton models, including Spherically Symmetric Gravity and String Inspired Gravity. Finally, a connection between harmonicity and generalised solitons is given through construction of harmonic maps of the plane to the 2-sphere, suggesting new solutions to field equations admitting black hole metrics. Other directions for studying the integrable systems structure of generalised two-dimensional dilaton theories are indicated

Double bubbles in the 3-torus

We present a conjecture, based on computational results, on the area minimizing way to enclose and separate two arbitrary volumes in the flat cubic 3-torus. For comparable small volumes, we prove that an area minimizing double bubble in the 3-torus is the standard double bubble from R^3