Dynamical stability and phase space analysis of an Emergent Universe with non-interacting and interacting fluids

We investigate the evolution of a flat Emergent Universe obtained with a non-linear equation of state (nEoS) in Einstein's general theory of Relativity. The nEoS is equivalent to three different types of barotropic cosmic fluids, which are found from the nEoS parameter. The EU began expanding initially with no interaction among the cosmic fluids. Assuming an interaction that sets in at a time $t \geq t_i$ in the fluid components, we study the evolution of the EU that leads to the present observed universe. We adopt a dynamical system analysis method to obtain the critical points of the autonomous system for studying the evolution of an EU with or without interaction in fluid components. We also study the stability of critical points and draw the phase portraits. The density parameters and the corresponding cosmological parameters are obtained for both the non-interacting and interacting phases of the evolution dynamics.Comment: 11 pages, 4 figure

Observational constraints on the Emergent Universe with interacting non-linear fluids and its stability analysis

We investigate a flat Emergent Universe (EU) with a nonlinear equation of state which is equivalent to three different compositions of fluids. In the EU, initially, the evolution of the universe began with no interaction, but as time evolves, an interaction sets in among the three fluids leading to the observed universe. The characteristic of an EU is that it is a singularity-free universe that evolves with all the basic features of the early evolution. A given nonlinear equation of state parameter permits a universe with three different fluids. We get a universe with dark energy, cosmic string, and radiation domination to begin with, which at a later epoch transits into a universe with three different fluids with matter domination, dark matter, and dark energy for a given interaction strength among the cosmic fluids. Later the model parameters are constrained using the observed Hubble data and Type Ia Supernova (SnIa) data from the Pantheon data set. The classical stability analysis of the model is performed using the square speed of sound. It is found that a theoretically stable cosmological model can be obtained in this case, however, the model becomes classically unstable at the present epoch when the observational bounds on the model parameters are taken into account.Comment: 16 pages, 9 figure

Skyrme Fluid in Anisotropic Universes with a Cosmological Constant

Cosmological solutions are obtained in an anisotropic Kantowski-Sachs and Bianchi Type-I universes considering a cosmological constant with Skyrme fluid as a matter source. The solutions in both the KS and Bianchi-I universes obtained here are found to differ significantly, specially with some striking difference like Bianchi-I universe admitting only oscillatory solutions for a particular type of matter configuration. Some new and interesting cosmological solutions are obtained due to the Skyrme fluid in the universe. The anisotropy parameter with the evolution of the universe for both the cases are determined and plotted for comparative study.Comment: The analysis is incomplete and vast change is being done which will reflect major modifications in our obtained result

NuSTAR detection of a broad absorption line in IGR J06074+2205

We present the broadband X-ray study of the BeXRB pulsar IGR J06074+2205 using NuSTAR observations. The temporal and spectral characteristics of the source are investigated. We detect coherent X-ray pulsations of the source and determine the spin period evolution. Using the current spin period data of the source, we show that the source is spinning down at 0.0202(2)\; s\; $day^{-1}$. The pulse profiles are found to evolve with energy and luminosity. Another interesting feature of the source is that the pulse profiles are dual peaked. The dual-peaked pulse profile is characterized by a decreasing secondary peak amplitude with increasing energy. We also observed a proportionate increase in the primary peak amplitude as the energy increases. The pulse fraction exhibits an overall increasing trend with the energy. The X-ray continuum of the source indicates the existence of a characteristic absorption feature with a centroid energy $\sim 55$ keV, which may be interpreted as a cyclotron line. We estimate the corresponding magnetic field strength to be $\sim4.74\times10^{12}$ G. A peculiar `10 keV' absorption feature is observed in the X-ray spectra of the second observation.The luminosity measurements predict that the source may be accreting in the sub-critical regime.Comment: 7 pages, 8 figures, 3 tables (ACCEPTED FOR PUBLICATION

Probability for Primordial Black Holes Pair in 1/R Gravity

The probability for quantum creation of an inflationary universe with a pair of black holes in 1/R - gravitational theory has been studied. Considering a gravitational action which includes a cosmological constant ($\Lambda$) in addition to $\delta R^{- 1}$ term, the probability has been evaluated in a semiclassical approximation with Hartle-Hawking boundary condition. We obtain instanton solutions determined by the parameters $\delta$ and $\Lambda$ satisfying the constraint $\delta \leq \frac{4 \Lambda^{2}}{3}$. However, we note that two different classes of instanton solutions exists in the region $0 < \delta < \frac{4 \Lambda^{2}}{3}$. The probabilities of creation of such configurations are evaluated. It is found that the probability of creation of a universe with a pair of black holes is strongly suppressed with a positive cosmological constant except in one case when $0 < \delta < \Lambda^{2}$. It is also found that gravitational instanton solution is permitted even with $\Lambda = 0$ but one has to consider $\delta < 0$. However, in the later case a universe with a pair of black holes is less probable.Comment: 15 pages, no figure. submitted to Phys. Rev.