Smeared hair and black holes in three-dimensional de Sitter spacetime

Park, Mu-In

doi:10.1103/physrevd.80.084026

Cited by 26 publications

(18 citation statements)

References 30 publications

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“…In Section 2, the noncommutativity is imposed [10] on the high-dimensional Schwarzschild-Tangherlini anti-de Sitter black hole in terms of the non-Gaussian smeared matter distribution [19], the condition for the existence of extreme black holes is derived, and the radii of extreme black holes are obtained for different dimensions n and powers k.…”

Section: Discussionmentioning

confidence: 99%

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Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

Miao

2016

Eur. Phys. J. C

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Considering non-Gaussian smeared matter distributions, we investigate the thermodynamic behaviors of the noncommutative high-dimensional SchwarzschildTangherlini anti-de Sitter black hole, and we obtain the condition for the existence of extreme black holes. We indicate that the Gaussian smeared matter distribution, which is a special case of non-Gaussian smeared matter distributions, is not applicable for the six-and higher-dimensional black holes due to the hoop conjecture. In particular, the phase transition is analyzed in detail. Moreover, we point out that the Maxwell equal area law holds for the noncommutative black hole whose Hawking temperature is within a specific range, but fails for one whose the Hawking temperature is beyond this range.

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Section: Discussionmentioning

confidence: 99%

“…Plot of the relation of T h with respect to r h for the commutative limit θ → 0, see eq (19),. where l = 10 and n = 5.…”

mentioning

confidence: 99%

Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

Miao

2016

Eur. Phys. J. C

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“…We also learned that the mass term is an irrelevant parameter in the solution. We recall here that noncommutative geometry has already been considered in lower dimensional black hole geometries [40][41][42][43][44][45]. In all such cases the noncommutative smearing has been applied to the mass term much in the same way of what done in the higher dimensional cases [15,16,[46][47][48][49][50].…”

Section: Ultraviolet Improved Solutionmentioning

confidence: 99%

Regularization ambiguity and van der Waals black hole in 2 + 1 dimensions

2021

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Charged black holes in a ($$2+1$$ 2 + 1 )-dimensional anti-de Sitter space-time suffer from some limitations such as the ambiguity in the definition of the mass and the bad short distance behavior. In this paper we present a way to resolve such issues. By extending the parameter space of the BTZ geometry, we properly identify the integration constants in order to remove the conical singularity sitting at the origin. In such a way we obtain a well defined Minkowski limit and horizons also in the case of de Sitter background space. On the thermodynamic side, we obtain a proper internal energy, by invoking the consistency with the Area Law, even if the mass parameter does not appear in the metric coefficients. As a further improvement, we show that it is sufficient to assume a finite size of the electric charge to obtain a short scale regular geometry. The resulting solution, generalizing the charged BTZ metric, is dual to a van der Waals gas.

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“…20 For k = 0, the solution (47) reduces to a 2 (45), but a similar continuation is absent for the latter singular case. For k = 0, on the other hand, (47) reduces to the exponentially growing or decaying solution also. Plots of the vacuum effective potential V eff vs. scale factor a(t).…”

Section: Connection To Time-dependent Cosmological Solutionsmentioning

confidence: 99%

“…2. This may also explain why one can have a black hole solution in three-dimensional AdS space, known as BTZ solution, but not in flat or dS space[45][46][47] 3. For a more recent, extensive study, see[49]…”

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confidence: 99%

Complete classification of four-dimensional black hole and membrane solutions in IR-modified Hořava gravity

Argüelles

Grandi

Park

2015

J. High Energ. Phys.

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Hořava gravity has been proposed as a renormalizable, higher-derivative gravity without ghost problems, by considering different scaling dimensions for space and time. In the non-relativistic higher-derivative generalization of Einstein gravity, the meaning and physical properties of black hole and membrane space-times are quite different from the conventional ones. Here, we study the singularity and horizon structures of such geometries in IR-modified Hořava gravity, where the so-called "detailed balance" condition is softly broken in IR. We classify all the viable static solutions without naked singularities and study its close connection to non-singular cosmology solutions. We find that, in addition to the usual point-like singularity at r = 0, there exists a "surface-like" curvature singularity at finite r = r S which is the cutting edge of the real-valued space-time. The degree of divergence of such singularities is milder than those of general relativity, and the Hawking temperature of the horizons diverges when they coincide with the singularities. As a byproduct we find that, in addition to the usual "asymptotic limit", a consistent flow of coupling constants, that we called "GR flow limit", is needed in order to recover general relativity in the IR.

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Smeared hair and black holes in three-dimensional de Sitter spacetime

Cited by 26 publications

References 30 publications

Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

Thermodynamics of noncommutative high-dimensional AdS black holes with non-Gaussian smeared matter distributions

Regularization ambiguity and van der Waals black hole in 2 + 1 dimensions

Complete classification of four-dimensional black hole and membrane solutions in IR-modified Hořava gravity

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