Effects of quintessence and configuration of strings on the black holes of Lovelock-scalar gravity

Abstract

Lovelock gravity containing dimensionally continued Euler densities can be considered as a natural extension of Einstein’s theory of gravity in higher dimensions such that the associated differential equations of motion are still second order. In this paper, the Lovelock gravity is coupled with a scalar field and dimensionally continued hairy black holes in the presence of quintessential matter and cloud of strings are analyzed. Thermodynamics of these black holes is discussed as well. It is shown that the thermodynamic quantities satisfy the generalized first law. The generalized Smarr’s relation is also derived and thermodynamic stability checked. Finally, black holes of general Lovelock-scalar theory are also briefly discussed.