Causal cosmology with braneworld gravity including Gauss Bonnet coupling

TL;DR

This paper investigates the causal cosmological evolution in Randall Sundrum type II braneworld gravity with Gauss Bonnet coupling, incorporating dissipative effects via the Full Israel Stewart theory, and analyzes stability and solutions of the resulting complex equations.

Contribution

It introduces a detailed analysis of causal dissipative cosmology in braneworld models with Gauss Bonnet coupling, including numerical and analytic solutions and stability analysis.

Findings

Stable equilibrium points identified in the model.

Analytic solutions derived for special cases.

Numerical solutions demonstrate complex evolution behaviors.

Abstract

Causal cosmological evolutions in Randall Sundrum type II (RS) braneworld gravity with Gauss Bonnet coupling and dissipative effects are discussed here. Causal theory of dissipative effects are illustrated by Full Israel Stewart theory are implemented. We consider the numerical solutions of evolutions and analytic solutions as a special case for extremely non-linear field equation in Randall Sundrum type II braneworld gravity with Gauss Bonnet coupling. Cosmological models admitting Power law expansion, Exponential expansion and evolution in the vicinity of the stationary solution of the universe are investigated for Full Israel Stewart theory. Stability of equilibrium or fixed points related to the dynamics of evolution in Full Israel Stewart theory in Randall Sundrum type II braneworld gravity together with Gauss Bonnet coupling are disclosed here.