Black holes with cloud of strings and quintessence in Lovelock gravity

The Lovelock gravity is a natural extension of the Theory of General Relativity (TGR) to higher dimensions, which presents the criteria of general covariance and whose field equations are of second order. Its action contains higher order curvature terms and is reduced to the Einstein–Hilbert action when we consider a four dimensional spacetime. In this work, we obtain solutions corresponding to static spherically symmetric black holes with a cloud of strings and surrounded by quintessence. The study of the thermodynamical properties of these black holes is performed, with special emphasis on the mass, entropy, Hawking temperature and heat capacity. The graphs corresponding to the mass and the Hawking temperature are shown for different dimensions of spacetime, namely, $$D = 4, 5, 6$$ and 7. Concerning Hawking radiation, it is shown that the radiation spectrum is related to the change of entropy which codifies the presence of the cloud of strings as well as of the quintessence.

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