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The Kappa distribution could encompass the diverse characteristics of the magnetospheric plasma of surrounding of neutron stars in both hot and cold environments; however, the Maxwell-J\"uttner distribution is so far widely used to characterise these plasmas. We aim to analyse the linear dispersion properties and to compare the growth rates yielded from the relativistic kinetic dispersion relation for the pulsar magnetospheric plasmas. We developed a numerical dispersion solver to investigate the plasmas with arbitrary velocity distributions, mainly focusing on relativistic kappa and Maxwell-J\"uttner distribution functions. By considering different kappa distribution indices and using analytical and numerical approaches, the dispersion properties of the kappa and Maxwell-J\"uttner distributions converge at high wave numbers and low temperatures, indicating that the choice of distribution functions has little effect at higher wave numbers $c.k/\omega_p \gg 1$ and high inverse temperatures $\rho=100$. However, each distribution function exhibits unique and complimentary properties in semi-relativistic to relativistic inverse temperatures $\rho \leq 10-1$ and at lower wave numbers $c.k/\omega_p\leq 1$. This highlights the necessity of utilizing such dispersion solver for these parameters that allows to properly comprehend the dispersion properties of the neutron star magnetospheric plasmas., Comment: 13 pages, 9 figures, submitted to AIP Publishing - Physics of Plasmas

In the context of general relativity, the geodesic deviation equation (GDE) relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics. In this paper, we consider the GDE for the generalized hybrid Metric-Palatini gravity and apply it in this model to investigate the structure of time-like, space-like, and null geodesics in the homogeneous and isotropic universe. We propose a particular case $f(R,{\cal R})=R+{\cal R}$ to study the numerical behavior of the deviation vector $\eta(z)$ and the observer area-distance $r_{0}(z)$ with respect to redshift $z$. Also, we consider the GDE in the framework of the scalar-tensor representation of the generalized hybrid Metric-Palatini gravity i.e. $f(R, {\cal R} )$, in which the model can be considered as dynamically equivalent to a gravitational theory with two scalar fields. Finally, we extend our calculations to obtain the modification of the Mattig relation in this model., Comment: 18 pages, 4 figures, references added

We study the future cosmological singularities in the framework of massive gravity and minimal massive bigravity theory. In this regards, we consider the possible classes of finite-time future singularities such as sudden, big rip, big freeze and big brake singularities in the massive universe. In dRGT model with an open expanding universe we obtain the sudden singularity in the future at a finite-time which generally without taking account of any particular realistic equation of state, is not avoidable and except the fluid density, all dynamical physical quantities such as pressure approach to infinity. To complete our study, we search the future cosmological singularities in the context of minimal massive bigravity theory and we find that the cosmology of this theory suffers from the sudden and big brake singularities, in which we can see that the parameters of the model approaches to zero the sudden singularity can be removed., Comment: 14 pages, 8(*6) figures, references added

In this paper, in the framework of massive bigravity, we study all possible cosmic evolutions by using a method in which the modified Friedmann equation is written in a form where the scale factor evolves like the motion of a particle under a "potential". Massive bigravity provides this potential with the most general mass interaction term which can create new circumstances to find different kinds of cosmological evolutions in the early universe. We classify all possible cosmic evolutions according to the classifications of the energy density as dust, radiation and dust with phantom. Oscillating universe and Einstein static state which exist initially may show a useful property of early universe, obtained in this model, in which the initial singularity is avoided. Bouncing universe extracted in the massive bigravity model can present a reasonable cosmic evolutionary behavior having a big bang initial point with expansion phase and switching to contraction phase leading to final big crunch point. The large-valued graviton mass $m$ in the early times causes a very small $a_{\rm{S}}$ (The Einstein static state scale factor) and $\lambda=\rho_{0}a_{0}^{3}$ a constant parameter constructed of the present day energy density and scale factor, respectively., Comment: 22 pages, 18 figures

We have investigated energy levels mirror nuclei of the 17O and 17F in relativistic and non-relativistic shell model. The nuclei 17O and 17F can be modeled as a doubly-magic 17O=n+(N=Z=8) and 17F=p+(N=Z=8), with one additional nucleon (valence) in the ld5/2 level. Then we have selected the quadratic Hellmann potential for interaction between core and single nucleon. Using Parametric Nikiforov-Uvarov method, we have calculated the energy levels and wave function in Dirac and Schrodinger equations for relativistic and non-relativistic, respectively. Finally, we have computed the binding and excited energy levels for mirror nuclei of 17O and 17F and compare with other works. Our results were in agreement with experimental values and hence this model could be applied for similar nuclei., Comment: 6 pages, 2 tables, no figure

We study the static cosmological solutions and their stability at background level in the framework of massive bigravity theory with Friedmann-Robertson-Walker (FRW) metrics. By the modification proposed in the cosmological equations subject to a perfect fluid we obtain new solutions interpreted as the Einstein static universe. It turns out that the non-vanishing size of initial scale factor of Einstein static universe depends on the non-vanishing three-dimensional spatial curvature of FRW metrics and also the graviton's mass. By dynamical system approach and numerical analysis, we find that the extracted solutions for closed and open universes can be stable for some viable ranges of equation of state parameter, viable values of fraction of two scale factors, and viable values of graviton's mass obeying the hierarchy $m << M_Pl$ which is more cosmologically motivated., Comment: 14 pages, 8 figures, 5 tables, major revision

We consider the FLRW universe in a loop quantum cosmological model filled with the radiation, baryonic matter (with negligible pressure), dark energy and dark matter. The dark matter sector is supposed to be of Bose-Einstein condensate type. The Bose-Einstein condensation process in a cosmological context by supposing it as an approximate first order phase transition, has been already studied in the literature. Here, we study the evolution of the physical quantities related to the early universe description such as the energy density, temperature and scale factor of the universe, before, during and after the condensation process. We also consider in detail the evolution era of the universe in a mixed normal-condensate dark matter phase. The behavior and time evolution of the condensate dark matter fraction is also analyzed., Comment: 16 pages, 2 figures, minor revision

In a Friedmann-Robertson-Walker (FRW) space-time background we study the classical cosmological models in the context of recently proposed theory of nonlinear minimal massive bigravity. We show that in the presence of perfect fluid the classical field equations acquire contribution from the massive graviton as a cosmological term which is positive or negative depending on the dynamical competition between two scale factors of bigravity metrics. We obtain the classical field equations for flat and open universes in the ordinary and Schutz representation of perfect fluid. Focusing on the Schutz representation for flat universe, we find classical solutions exhibiting singularities at early universe with vacuum equation of state. Then, in the Schutz representation, we study the quantum cosmology for flat universe and derive the Schrodinger-Wheeler-DeWitt equation. We find its exact and wave packet solutions and discuss on their properties to show that the initial singularity in the classical solutions can be avoided by quantum cosmology. Similar to the study of Hartle-Hawking no-boundary proposal in the quantum cosmology of de Rham, Gabadadze and Tolley (dRGT) massive gravity, it turns out that the mass of graviton predicted by quantum cosmology of the minimal massive bigravity is large at early universe. This is in agreement with the fact that at early universe the cosmological constant should be large., Comment: 13 pages, 6 figures, published online, Phys. Lett. B (2016)

We generalize the scalar tensor bigravity models to the non-minimal kinetic coupling scalar tensor bigravity models with two scalar fields whose kinetic terms are non-minimally coupled to two Einstein tensors constructed by two metrics. We show that a broad class of expanding universes can be explained by some solutions of this model. Then, we study the stability issue of the solutions by means of imposing homogeneous perturbation on the equations of motion and extract the stable solutions., Comment: 18 pages

In this work, we show that it is possible to study the notion of geodesic deviation equation in $f(T)$ gravity, in spite of the fact that in teleparallel gravity there is no notion of geodesics, and the torsion is responsible for the appearance of gravitational interaction. In this regard, we obtain the GR equivalent equations for $f(T)$ gravity which are in the modified gravity form such as $f(R)$ gravity. Then, we obtain the GDE within the context of this modified gravity. In this way, the obtained geodesic deviation equation will correspond to the $f(T)$ gravity. Eventually, we extend the calculations to obtain the modification of Matting relation., Comment: 13 pages, 7 figures

Some theorems for a static prefect fluid sphere, i.e. a star, in the presence of a positive cosmological constant are proved. These theorems put bounds on the pressure profile and internal compactness of the star., Comment: 2 figures

The SMAP product provides the soil moisture (SM) computed using three different retrieval algorithms: the single channel H and V algorithms (SCA-H and SCA-V), and the dual-channel algorithm (DCA) which in addition provides the vegetation optical depth (VOD). The roughness model and the roughness parameters play an important role in the determination of the soil moisture and the VOD. In this regard, the SMAP SCA and DCA utilize different approaches to incorporate the effect of roughness. In this work we will summarize those approaches and we will evaluate the effect of the DCA approach on the retrieval of VOD. We will compare the SMAP DCA roughness parameter h with topographic parameters such as DEM height, DEM slope, DEM height standard deviation and DEM slope standard deviation.