Quantum gravity effects on thermodynamics of de Sitter black holes in massive gravity

Abstract

Taking de Sitter space–time as a thermodynamic system, we study the effects of quantum gravity on thermodynamic quantities of de Sitter black holes in massive gravity. We enumerate the leading order corrections arising in quantum gravity regime on various thermodynamic quantities like Helmholtz free energy, Gibbs free energy, specific heat and pressure. Our results show that quantum corrections have tendency to induce stability. Moreover we observe that the parameters from the massive gravity have deeper effect on the evolution of de Sitter space–time in quantum gravity regime. Such an analysis could be helpful in understanding inflation and evolution of universe at early times.