LCDM Model in f(T) Gravity: Reconstruction, Thermodynamics and Stability

TL;DR

This paper explores the reconstruction, thermodynamic consistency, and stability of the LCDM cosmological model within the f(T) gravity framework, highlighting conditions for thermodynamic laws and stability in specific cosmological solutions.

Contribution

It provides a reconstruction of the LCDM model in f(T) gravity, analyzes thermodynamic laws in this context, and investigates stability conditions for cosmological solutions.

Findings

Thermodynamic laws can be satisfied in equilibrium for certain parameter values.

The model remains stable under de Sitter and Power-Law solutions for specific constants.

Reconstruction introduces an integration constant influencing thermodynamics and stability.

Abstract

We investigate some cosmological features of the LCDM model in the framework of the generalized teleparallel theory of gravity f(T) where T denotes the torsion scalar. Its reconstruction is performed giving rise to an integration constant Q and other input parameters according to which we point out more analysis. Thereby, we show that for some values of this constant, the first and second laws of thermodynamics can be realized in the equilibrium description, for the universe with the temperature inside the horizon equal to that at the apparent horizon. Moreover, still within these suitable values of the constant, we show that the model may be stable using the de Sitter and Power-Law cosmological solutions.