Third order quasitopological black hole with a power-law Maxwell nonlinear source

Ghanaatian, M.; Naeimipour, F.; Bazrafshan, A.; Eftekharian, M.; Ahmadi, A.

doi:10.1103/physrevd.99.024006

Cited by 14 publications

(11 citation statements)

References 46 publications

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“…For a general study, we consider an arbitrary value for the parameter s. Quasitopological black hole solutions in the presence of the power Maxwell matter field have been obtained in Refs. [51,52]. In this section, we aim to investigate the Joule-Thomson expansion of these solutions.…”

Section: Joule-thomson Expansion Of the Power Maxwell Quasitopological Black Holementioning

confidence: 99%

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Joule-Thomson Expansion of the Quasitopological Black Holes

2021

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In this paper, we investigate the thermal stability and Joule-Thomson expansion of some new quasitopological black hole solutions. We first study the higher-dimensional static quasitopological black hole solutions in the presence of Born-Infeld, exponential, and logarithmic nonlinear electrodynamics. The stable regions of these solutions are independent of the types of the nonlinear electrodynamics. The solutions with horizons relating to the positive constant curvature, k=+1, have a larger region in thermal stability, if we choose positive quasitopological coefficients, μi>0. We also review the power Maxwell quasitopological black hole. We then obtain the five-dimensional Yang-Mills quasitopological black hole solution and compare it with the quasitopological Maxwell solution. For large values of the electric charge, q, and the Yang-Mills charge, e, we showed that the stable range of the Maxwell quasitopological black hole is larger than the Yang-Mills one. This is while thermal stability for small charges has the same behavior for these black holes. Thereafter, we obtain the thermodynamic quantities for these solutions and then study the Joule-Thomson expansion. We consider the temperature changes in an isenthalpic process during this expansion. The obtained results show that the inversion curves can divide the isenthalpic ones into two parts in the inversion pressure, Pi. For P<Pi, a cooling phenomenon with positive slope happens in T−P diagram, while there is a heating process with a negative slope for P>Pi. As the values of the nonlinear parameter, β, the electric and Yang-Mills charges decrease, the temperature goes to zero with a small slope and so the heating phenomena happens slowly.

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Section: Joule-thomson Expansion Of the Power Maxwell Quasitopological Black Holementioning

confidence: 99%

“…In this section, we aim to investigate the Joule-Thomson expansion of these solutions. The temperature of this black hole follows from [51,52] T…”

Section: Joule-thomson Expansion Of the Power Maxwell Quasitopological Black Holementioning

confidence: 99%

Joule-Thomson Expansion of the Quasitopological Black Holes

2021

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“…Eq. (11) shows that µ 5 is nonzero for all values of n, and so we can use quintic quasitopological gravity in all dimensions. This is the advantage of quintic quaitopological gravity in higher dimensions.…”

Section: Construction Of (N + 1)-dimensional Quintic Quasitopological...mentioning

confidence: 99%

“…Cubic and quartic quasitopological gravity with R 3 and R 4 terms have been also studied in Refs. [9][10][11] and [2,[12][13][14][15] respectively. Recently, a new toy model for gravity in five dimensions has been introduced as quintic quasitopological gravity space [16].…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of static solutions in ( n+1 )-dimensional quintic quasitopological gravity

et al. 2019

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Based on the fact that some important theories like string and M-theories predict spacetime with higher dimensions, so, in this paper, we aim to construct a theory of quintic quasitopological gravity in higher dimensions (n ≥ 5). This (n + 1)-dimensional quintic quasitopological gravity can also lead to the most second-order linearized field equations in the spherically symmetric spacetimes. These equations can not be solved exactly and so, we obtain a new class of (n + 1)-dimensional static solutions with numeric methods. For large values of mass parameter m, these solutions yield to black holes with two horizons in AdS and flat spacetimes. For dS solutions, there are two values, mext and mcri, which yield to a black hole with three horizons for mext < m < mcri. We also calculate thermodynamic quantities for this black hole such as entropy and temperature and check the first law of thermodynamics. Finally, we analyze thermal stability of the (n + 1)-dimensional static black hole at the horizon r+. Unlike dS solutions, AdS ones have thermal stability for each values of k, but flat solutions are stable with just k = 1.

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“…Some kinds of black hole and black brane solutions are studied in quasitopological gravity [38][39][40][41]. One can find the thermodynamic properties of rotating black holes and black brane in the quartic quasitopological Lifshitz gravity in the presence of nonlinear BI field in [42].…”

Section: Introductionmentioning

confidence: 99%

Surface Terms of Quintic Quasitopological Gravity and Thermodynamics of Quasi-Topological Magnetic Brane Coupled to Nonlinear Electrodynamics

Bazrafshan¹,

Olamaei²

2020

Preprint

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The concept of action plays a central role in gravitational theories. In this work we introduced a surface term, which as the quintic quasitopological action has no well-defined variational principle, causes that for a spacetime with flat boundaries have a well-defined variational principle. To this end, nine terms of order nine in extrinsic curvature of the boundary have been introduced. The coefficients are chosen such that the normal variation of the metric to the flat boundary is canceled. This surface term can be employed in Hamiltonian formalism as well.Also we found the counterterm which removes non-logarithmic divergences for the static quintic quasitopological gravity. Using this counterterm one can calculate a finite action and conserved quantities for the quintic quasitopological gravity.Moreover, we investigated the numerical solutions of the above-mentioned gravity coupled to the nonlinear logarithmic and exponential electrodynamics. These nonlinear theories have the property that they are not divergent at the origin which is the generic problem for the linear Maxwell theory that is the limitation of this theory as β → ∞. Also it has no horizon and curvature except one conical singularity at r = 0 with a deficit angle δφ. This deficit angle does not depend on μ2 , μ3 , μ4 and μ5 coefficients but only on the parameters q, β and dimension n.

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Third order quasitopological black hole with a power-law Maxwell nonlinear source

Cited by 14 publications

References 46 publications

Joule-Thomson Expansion of the Quasitopological Black Holes

Joule-Thomson Expansion of the Quasitopological Black Holes

Thermodynamics of static solutions in ( n+1 )-dimensional quintic quasitopological gravity

Surface Terms of Quintic Quasitopological Gravity and Thermodynamics of Quasi-Topological Magnetic Brane Coupled to Nonlinear Electrodynamics

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