Abstract:Lovelock gravity consisting of the dimensionally continued Euler densities is a natural generalization of general relativity to higher dimensions such that equations of motion are still second order, and the theory is free of ghosts. A scalar field with a positive potential that yields an accelerating universe has been termed quintessence. We present exact black hole solutions in D-dimensional Lovelock gravity surrounded by quintessence matter and also perform a detailed thermodynamical study. Further, we find… Show more
“…Quintessence is a possible candidate for dark energy, which is characterized by the linear equation of state p q = wρ q , where p q is the pressure, ρ q is the energy density, and −1 < w < −1/3. Significant attention has been devoted to discussion of static spherically-symmetric black hole solutions surrounded by quintessence matter and their properties [16][17][18][19][20][21][22][23][24], within which, Refs. [22][23][24] paid attention to the framework of Lovelock gravity.…”
We consider a model that charged static spherically-symmetric black hole is surrounded by dark fluid with nonlinear equation of state p d = −B/ρ d . We find that the energy density of the dark fluid can be characterized by two parameters. The derivation of metric solution, as well as the calculation of black hole thermodynamical quantities as functions of horizon radius, are performed. Specially, in D-dimensional Einstein gravity and Gauss-Bonnet gravity cases, we plot the metric functions and corresponding thermodynamical quantities, such as mass, Hawking temperature and heat capacity, by varying the values of spacetime dimensions and dark fluid parameters. The effects of the dark fluid parameters on black hole solutions as well as on thermodynamical stability of black holes are discussed. Number(s): 04.20.Cv, 04.50.Gh, 95.35.+d
PACS
“…Quintessence is a possible candidate for dark energy, which is characterized by the linear equation of state p q = wρ q , where p q is the pressure, ρ q is the energy density, and −1 < w < −1/3. Significant attention has been devoted to discussion of static spherically-symmetric black hole solutions surrounded by quintessence matter and their properties [16][17][18][19][20][21][22][23][24], within which, Refs. [22][23][24] paid attention to the framework of Lovelock gravity.…”
We consider a model that charged static spherically-symmetric black hole is surrounded by dark fluid with nonlinear equation of state p d = −B/ρ d . We find that the energy density of the dark fluid can be characterized by two parameters. The derivation of metric solution, as well as the calculation of black hole thermodynamical quantities as functions of horizon radius, are performed. Specially, in D-dimensional Einstein gravity and Gauss-Bonnet gravity cases, we plot the metric functions and corresponding thermodynamical quantities, such as mass, Hawking temperature and heat capacity, by varying the values of spacetime dimensions and dark fluid parameters. The effects of the dark fluid parameters on black hole solutions as well as on thermodynamical stability of black holes are discussed. Number(s): 04.20.Cv, 04.50.Gh, 95.35.+d
PACS
“…In the other words, in this model for p = − , one ables to find Chaplygin gas results in cosmology in f (R) gravity (see [38,39] for some cosmological model from Chaplygin gas). In the next section, we consider cosmic evolution for this case.…”
Section: Noether Symmetry and F (R) Gravitymentioning
In this work, we consider f (R) alternative theories of gravity with an eye to Noether symmetry through the gauge theorem. For non-vacuum models, one finds like gravity with energy density of Chaplygin Gas. We also obtain the effective equation of state parameter for corresponding cosmology and scale factor behavior with respect to cosmic time which show that the model provides viable EoS and scale factor with respect to observational data.
“…Thus, in D-dimensions, the solution corresponding to a black hole surrounded by quintessence is written in the same form of Eq. 10, where [13]…”
Section: Quintessential Dark Energymentioning
confidence: 99%
“…In this section, we will analyze the thermodynamics of black holes with a cloud of strings and surrounded by quintessence in the Lovelock gravity in D-dimensions, following straightforwardly the results recently obtained in the literature [6,9,13]. From Eq.…”
Section: Black Hole Thermodynamicsmentioning
confidence: 99%
“…Then, there are good reasons to obtain black hole solutions in different theories of gravity. In special, some exact solutions describing black holes were obtained in the framework of Lovelock gravity [4][5][6][7][8][9], when a cloud of strings is taken into account [10][11][12] as well as when the black holes are surrounded by quintessence [13,14]. Others studies concerning the scenario with a cloud of strings include the analysis of the thermodynamical properties [15] and the tensor quasinormal modes [16].…”
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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