arXiv subjects

S. D Pathak

Publications and source records attributed to S. D Pathak.

3 recordsLinked to original sources

arXiv2023

Unified Lagrangian for Canonical and Non-Canonical Scalar Field

We proposed a generalized Lagrangian for three different classes of scalar fields namely quintessence($\alpha =-1$), phantom($\alpha =0$), and tachyonic ($\alpha =1$) parameterized by $\alpha$. These three scalar fields can be described by a common single Lagrangian called generalized scalar field Lagrangian and corresponding scalar field termed as generalized scalar field. We obtain mathematically consistent forms of generalized equations of motion from which individual equations of motion of quintessence, phantom, and tachyon can be recovered.

gr-qc↗

arXiv2023

Interacting Tachyonic Scalar Field III

This study explores the plausibility of an interacting tachyonic scalar, homogeneous in nature, as a promising candidate for dynamic dark energy, offering insights into the observed accelerated expansion of the universe. The parameterization of the interaction between the tachyonic field, matter, and Hubble's parameter is performed linearly. The analysis focuses on fundamental cosmological parameters in a flat universe $(K = 0)$: expansion rate, universe age, energy density evolution for matter and the tachyonic field. The study also examines the coupling strength between the tachyonic field and matter, revealing a maximum value of unity when the interaction depends solely on their energy densities. Combining them also yields an upper limit of unity (precisely 0.7) for the coupling strength.

gr-qc↗

arXiv2023

Evolution of Entropy with Cosmic Time

Understanding the evolution of entropy in the universe is a fundamental aspect of cosmology. This paper investigates the evolution of entropy in a spatially flat $K=0$ universe, focusing on the contributions of matter, radiation, and dark energy components. The study derives the rate of change of entropy with respect to cosmic time, taking into account the scaling relations of energy densities and temperatures for different components. The analysis reveals the dominance of radiation entropy at early times, transitioning to matter dominance as the universe expands. The constant contribution of dark energy entropy throughout cosmic time is also considered. The paper acknowledges the limitations of the simplified model and the omission of entropy generation processes, emphasizing the importance of future research to incorporate these aspects. The results highlight the complex interplay between different components and provide insights into the dynamics of entropy in the expanding universe. This study lays the foundation for further investigations into entropy evolution, urging the consideration of more comprehensive models and numerical techniques to achieve a deeper understanding of the universe's thermodynamic behavior.

gr-qc↗