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Relativistic Physics Seminar
Relativistic Physics Seminar
A dynamical system formulation for I homologous LRS-II spacetime
A dynamical system formulation for I homologous LRS-II spacetime
Organizers
Speaker
Saikat Chakraborty
Time
Wednesday, May 20, 2026 2:30 PM - 3:30 PM
Venue
A3-2-301
Online
Zoom 928 682 9093
(BIMSA)
Abstract
Dynamical system formulation is a very powerful mathematical technique that has found immense applications in cosmology after it was popularised by Wainwright and Ellis. In this formulation, the governing field equations for a homogeneous gravitational solution are recast as an autonomous system of coupled first order nonlinear ordinary differential equations, which are then studied using various techniques of nonlinear differential equations. One can anticipate that the extension of this technique to the case of an inhomogeneous gravitational solution is not straightforward, as such a situation will involve coupled partial differential equations. This is precisely the challenge that we have undertaken in the work that I will present, which, we believe, presents a dynamical system formulation that is physically clear to understand.
Speaker Intro
Dr Saikat Chakraborty has obtained his PhD in theoretical physics, working particularly in the field of Gravitation and Cosmology, from the Indian Institute of Technology Kanpur in 2019. His PhD thesis explored early universe cosmology in modified gravity. Later on, Dr Chakraborty has served as a postdoctoral researcher at the Yangzhou University in China, North-West University in South Africa, The Institute for Fundamental Study of Naresuan University in Thailand and Chulalongkorn University in Thailand. His work mainly spans late-time cosmology, with a particular interest on the application of the dynamical system technique in cosmology.