Tachyon Matter in Loop Quantum Cosmology

TL;DR

This paper develops an analytical framework for studying tachyon matter in loop quantum cosmology, deriving exact solutions including power-law and bouncing models within a semi-classical approximation.

Contribution

It introduces a formal correspondence between classical and loop quantum cosmology and constructs the Hamilton-Jacobi method for exact solutions in this context.

Findings

Derived exact power-law solutions.

Presented bouncing cosmological solutions.

Established a formal link between classical and loop quantum cosmology.

Abstract

An analytical approach for studying the cosmological scenario with a homogeneous tachyon field within the framework of loop quantum gravity is developed. Our study is based on the semi-classical regime where space time can be approximated as a continuous manifold, but matter Hamiltonian gets non-perturbative quantum corrections. A formal correspondence between classical and loop quantum cosmology is also established. The Hamilton-Jacobi method for getting exact solutions is constructed and some exact power-law as well as bouncing solutions are presented.