Bounding f(R,T) gravity by particle creation

TL;DR

This paper investigates quantum vacuum states in f(R,T) gravity, using Bogoliubov transformations to constrain model parameters by minimizing particle production linked to the Hubble parameter.

Contribution

It introduces a method to fix f(R,T) gravity parameters through Bogoliubov coefficients, connecting quantum particle creation to cosmological dynamics.

Findings

Particle production depends on the Hubble parameter and f(R,T) model parameters.

Minimizing Bogoliubov coefficients constrains the free parameters of f(R,T) gravity.

The approach links quantum vacuum effects to cosmological evolution in modified gravity.

Abstract

We consider the possibility of the quantum vacuum states in f(R,T) gravity. Particularly, we study the Bogoliubov transformations associated to different vacuum states for some f(R,T) models. The method consists of fixing the f(R,T) free parameters by requiring the Bogoliubov coefficients to be minimized. In such a way, the particle production is related to the value of the Hubble parameter and also the given f(R,T) model.