Behaviour of Charged Collapsing Fluids after Hydrostatic Equilibrium in R^n Gravity

The purpose of this paper is to study the transport equation and its coupling with Maxwell equation in the framework of R^n gravity. Using Muller-Israel-Stewart theory for the conduction of dissipative fluids, we analyze the temperature, heat flux, viscosity and thermal conductivity in the scenario of relaxation time. All these thermodynamical variables are appeared in the form of a single factor whose influence is discussed on the evolution of relativistic model for the heat conducting collapsing star.Comment: Accepted for publication in European Physical Journal

Behavior of Time-varying Constants in Relativity

In this paper, we consider Bianchi type III and Kantowski-Sachs spacetimes and discuss the behavior of time-varying constants $G$ and $\Lambda$ by using two symmetric techniques, namely, kinematic self-similarity and matter collineation. In the kinematic self-similarity technique, we investigate the behavior of the first and the second kinds. In the matter collineation technique, we consider usual, modified, and completely modified matter collineation equations while studying the behavior of these constants. Further, we reduce the results for dust, radiation, and stiff fluids. We find that $\Lambda$ is a decreasing time function while $G$ is an increasing time function. This corresponds to the earlier results available in the literature for other spacetimes. Further, we find that the deceleration parameter attains a negative value, which shows that the expansion of the universe is accelerating.Comment: 24 pages, accepted for publication in J. Korean Physical Societ

Possibility of observing charged Higgs in the single top production via its τ\tau lepton decay at LHC

Single top quark production through weak interactions is considered to be an important source of charged Higgs in the Minimal Super Symmetric Standard Model. In the s-channel single top production having largest cross-section may appear as a propagator in the form of heavy resonance state decaying to a pair of top and bottom quark. The process under investigation is $pp \rightarrow H^{\pm}\rightarrow tb \rightarrow b\bar{b}W^{\pm} \rightarrow b\bar{b}\tau^{\pm} \nu_{\tau}$, where top quark exclusively decays into a pair of bottom quark and W boson while W boson subsequently decays to $\tau$ jet and neutrino. So the final state is characterized by the presence of two b jets, hadronic $\tau$ decay and missing transverse energy. Within the presence of QCD multijet and electroweak background events at LHC, it has been demonstrated that the charged Higgs signal observability is possible within the available MSSM parameter space (tan$\beta$, $m_{H^{\pm}})$ respecting all experimental and theoretical constraints. In order to show the observability potential of charged Higgs, the exclusion curves at 95$\%$ confidence level and 5$\sigma$ contours are plotted at different integrated luminosities with $\sqrt{s}=$14 TeV.Comment: arXiv admin note: substantial text overlap with arXiv:1711.0834