Effects of dark energy on geodesics and thermodynamics of the Schwarzschild-de Sitter space-time

Abstract

The effects of quintessence on geodesics and thermodynamics of the Schwarzschild-de Sitter black hole are studied and the results are compared with the case without the presence of quintessence. We show that the presence of quintessence increases the entropy and heat capacity of the Schwarzschild-de Sitter black hole and decreases the mass and temperature of this black hole. In particular, we focused on types of orbits and we found that the coordinate time, circular orbits, period of the circular orbits and the angle of deflection of light for this black hole increase in quintessence field while the quintessence decreases the effective potential, force on the massless particle, Lyapunov exponent $\lambda $ and closest approach.