Asymptotically Non-Static Kerr-deSitter Spacetime With No Event Horizon

We present our derivations for Kerr-deSitter metric in a proper comoving coordinate system.It asymptotically approaches to the deSitter metric in Robertson-walker form.This has been done by considring the stationary axially-symmetric spacetime in which motion of particle is integrable.That is the Hamilton-Jacobi and Klein-Gordon equations are separable.In this form it is asymptotically consistent with comoving frame.Comment: Title changed,revised arguments,results unchanged

Homotheties and topology of tangent sphere bundles

We prove a Theorem on homotheties between two given tangent sphere bundles $S_rM$ of a Riemannian manifold $M,g$ of $\dim\geq 3$, assuming different variable radius functions $r$ and weighted Sasaki metrics induced by the conformal class of $g$. New examples are shown of manifolds with constant positive or with constant negative scalar curvature, which are not Einstein. Recalling results on the associated almost complex structure $I^G$ and symplectic structure ${\omega}^G$ on the manifold $TM$, generalizing the well-known structure of Sasaki by admitting weights and connections with torsion, we compute the Chern and the Stiefel-Whitney characteristic classes of the manifolds $TM$ and $S_rM$.Comment: 15 pages, to appear in Journal of Geometr

Cosmological constant influence on cosmic string spacetime

We investigate the line element of spacetime around a linear cosmic string in the presence of a cosmological constant. We obtain the metric and argue that it should be discarded because of asymptotic considerations. Then a time dependent and consistent form of the metric is obtained and its properties are discussed.Comment: 3 page

Can an odd number of fermions be created due to chiral anomaly?

We describe a possibility of creation of an odd number of fractionally charged fermions in 1+1 dimensional Abelian Higgs model. We point out that for 1+1 dimensions this process does not violate any symmetries of the theory, nor makes it mathematically inconsistent. We construct the proper definition of the fermionic determinant in this model and underline its non-trivial features that are of importance for realistic 3+1 dimensional models with fermion number violation.Comment: 12 pages revtex, 2 figure

Vertically Self-Gravitating ADAFs in the Presence of Toroidal Magnetic Field

Force due to the self-gravity of the disc in the vertical direction is considered to study its possible effects on the structure of a magnetized advection-dominated accretion disc. We present steady-sate self similar solutions for the dynamical structure of such a type of the accretion flows. Our solutions imply reduced thickness of the disc because of the self-gravity. It also imply that the thickness of the disc will increase by adding the magnetic field strength.Comment: Accepted for publication in Astrophysics and Space Science

Uncommon Cause of Acute Pelvic Pain: Isolated Torsion of Hydrosalpinx

Isolated torsion of hydrosalpinx is a rare cause of acute pelvic pain. Pre-operative diagnosis is very difficult because of non specific clinical presentation. Definitive diagnosis is always made at surgicalexploration performed for suspected adnexal torsion and salpingectomy is performed in the majority of cases. A 34-year-old woman was admitted for acute pelvic pain with nausea and vomiting. Vaginal examination revealed a right adnexal tender mass and ultrasound revealed a well circumscribed right adnexal cystic mass. Surgical exploration has revealed torsion of a right hydrosalpinx and right salpingectomy was performed. Differential diagnosis between adnexal and tubal torsion is very difficult, however both should be managed by rapid surgical exploration which an allow precocious diagnosis and conservative treatment(Afr J Reprod Health 2009; 13[4]:147-150)

An Accurate Method for Extracting the Critical Field in Short Channel NMOS Devices

In this letter, an accurate method for extracting the critical field Ec in short channel MOSFET's is presented. The principle of this method is based on the comparison between two models which give drain saturation voltage evolution against gate voltage Vdsat(Vg) continuously. The results obtained by this technique have shown better agreement with measurements data and have allow in the same time to determine the validity domain of Sodini's law [1]

Testing Unimodular Gravity

We consider models of gravitation that are based on unimodular general coordinate transformations (GCT). These transformations include only those which do not change the determinant of the metric. We treat the determinant as a separate field which transforms as a scalar under unimodular GCT. We consider a class of such theories. In general, these theories do not transform covariantly under the full GCT. We characterize the violation of general coordinate invariance by introducing a new parameter. We show that the theory is consistent with observations for a wide range of this parameter. This parameter may serve as a test for possible violations of general coordinate invariance. We also consider the cosmic evolution within the framework of these models. We show that in general we do not obtain consistent cosmological solutions if we assume the standard cosmological constant or the standard form of non-relativistic matter. We propose a suitable generalization which is consistent with cosmology. We fit the resulting model to the high redshift supernova data. We find that we can obtain a good fit to this data even if include only a single component, either cosmological constant or non-relativistic matter.Comment: 14 pages one figure, significantly revised with several new results adde