Abstract
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.
Highlights
The Theory of General Relativity (TGR) is indubitable the theory that describes the gravitational phenomena at large distances
Letelier [17] obtained a generalization of the Schwarzschild solution corresponding to a black hole surrounded by a spherically symmetric cloud of strings as well as some others interesting results [18,19]. Assuming that these strings are fundamental objects, it seems natural to consider their extension to gravitational theories that go beyond Einstein’s gravity, since the low energy limit of string theory implies the natural generalization of the TGR to higher dimensions, as for example in Lovelock gravity [1] which we are interested in this paper
Lovelock theory consists in a natural generalization of the Theory of General Relativity to higher dimensions satisfying the criteria of general covariance and containing field equations with derivatives of the metric up to second order
Summary
The Theory of General Relativity (TGR) is indubitable the theory that describes the gravitational phenomena at large distances. Letelier [17] obtained a generalization of the Schwarzschild solution corresponding to a black hole surrounded by a spherically symmetric cloud of strings as well as some others interesting results [18,19] Assuming that these strings are fundamental objects, it seems natural to consider their extension to gravitational theories that go beyond Einstein’s gravity, since the low energy limit of string theory implies the natural generalization of the TGR to higher dimensions, as for example in Lovelock gravity [1] which we are interested in this paper. It is the purpose of this paper to obtain exact solutions corresponding to static spherically symmetric black holes with a cloud of string and surrounded by quintessence in the Lovelock gravity and explicitly show the effect of the cloud of strings as well as of quintessence in this context.
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